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mathematics
calculus 10th edition

Questions and Answers of Calculus 10th Edition

In Exercises solve the differential equation. dy dx 1 (x-1)-4x² + 8x - 1
In Exercises find the derivative of the function. y = 2x cosh √√x
In Exercises solve the differential equation. dy dx 1 80+ 8x 16x²
In Exercises solve the differential equation. dy dx x³ - 21x 5 + 4x - x²
In Exercises solve the differential equation. dy dx || 1 - 2x 4x- x²
In Exercises find the derivative of the function.y = sech(4x - 1)
In Exercises find the derivative of the function.y = coth(8x²)
In Exercises find the area of the region. y = sech 1.4 1.2 0.6 0.4 0.2 + 11 -4-3-2-1 y +11 1 2 3 4 - X
In Exercises find the derivative of the function.y = In(cosh x)
In Exercises find the indefinite integral. sech² x tanh x dx
In Exercises find the indefinite integral. S x² sech² x³ dx
In Exercises find the area of the region. y = tanh 2x -3 -2 I 3 2 1 نرا y -2- -3+ 1 2 3
In Exercises find the derivative of the function.y = sinh-¹(4x)
In Exercises find the indefinite integral. Is sinh 6x dx
In Exercises find the indefinite integral. Jese csch4(3x)coth(3x) dx
In Exercises find the area of the region. y= + 5x √x4 + 1 432 1 -4-3-2-1 -4 y 1 2 3 4 -X
In Exercises find the derivative of the function.y = xtanh-12r
In Exercises find the indefinite integral. 1 9 - 4x² dx
In Exercises find the area of the region. y -4 -2 6 - 4 y 8 6 2 -2 2 4 X
Chemicals A and B combine in a 3-to-1 ratio to form a compound. The amount of compound being produced at any time is proportional to the unchanged amounts of A and B remaining in the solution. So,
In Exercises find the indefinite integral. X √√√x4-1 dx
Consider the equation of the tractrix(a) Find dy/dx.(b) Let L be the tangent line to the tractrix at the point P.When L intersects the y-axis at the point Q, show that thedistance between P and Q is
In Exercises verify the differentiation formula. d dx [cosh-¹x] = 1 x² - 1 ī
In Exercises find the indefinite integral. arcsin 2x 1-4x² dx
In Exercises find the indefinite integral. arctan(x/2) dx 4 + x²
In Exercises find the indefinite integral using the formulas from Theorem 5.2Data from in Theorem 5.2 THEOREM 5.2 Logarithmic Properties If a and b are positive numbers and n is rational, then the
In Exercises find the indefinite integral using the formulas from Theorem 5.2Data from in Theorem 5.2 THEOREM 5.2 Logarithmic Properties If a and b are positive numbers and n is rational, then the
In Exercises find the indefinite integral. 1 x√√9x² - 49 dx
In Exercises find the indefinite integral. 1 3 + 25x2 dx
In Exercises find the indefinite integral using the formulas from Theorem 5.2Data from in Theorem 5.2 THEOREM 5.2 Logarithmic Properties If a and b are positive numbers and n is rational, then the
In Exercises find the indefinite integral using the formulas from Theorem 5.2Data from in Theorem 5.2 THEOREM 5.2 Logarithmic Properties If a and b are positive numbers and n is rational, then the
In Exercises find the indefinite integral. X 1 - x4 dx
In Exercises find the indefinite integral using the formulas from Theorem 5.2Data from in Theorem 5.2 THEOREM 5.2 Logarithmic Properties If a and b are positive numbers and n is rational, then the
In Exercises find the indefinite integral using the formulas from Theorem 5.2Data from in Theorem 5.2 THEOREM 5.2 Logarithmic Properties If a and b are positive numbers and n is rational, then the
In Exercises find the indefinite integral. 1 e²x + e-2x dx
In Exercises find the indefinite integral using the formulas from Theorem 5.2Data from in Theorem 5.2 THEOREM 5.2 Logarithmic Properties If a and b are positive numbers and n is rational, then the
Exercises find the derivative of the function. y= x tanh 'x+Inv1 − 2
In Exercises find the derivative of the function. y = √√√x²-4-2 arcsec X 2² 2 < x < 4
In Exercises find the indefinite integral using the formulas from Theorem 5.2Data from in Theorem 5.2 THEOREM 5.2 Logarithmic Properties If a and b are positive numbers and n is rational, then the
Exercises find the derivative of the function. y = 2x sinh−'(2x) - √1 + 4x²
In Exercises find the derivative of the function. y = x(arcsin x)² - 2x + 2√√1-x² arcsin x
In Exercises find the derivative of the function. y = arctan e²x
In Exercises evaluate each expression without using a calculator.(a) tan(arccot 2)(b) cos(arcsec √√5)
In Exercises find the derivative of the function.y = x arcsec x
Exercises find the derivative of the function.y = sech-¹(cos 2x), 0 < x < π/4
In Exercises find the derivative of the function.y = arctan(2x² - 3)
Exercises find the derivative of the function.y = (csch-¹ x)²
In Exercises evaluate each expression without using a calculator.(a)(b) sin (arcsin)
In Exercises find the derivative of the function.y = tan(arcsin x)
Exercises find the derivative of the function.y = tanh -¹(sin 2x)
Exercises find the derivative of the function. y = tanh-1 t
Exercises find the derivative of the function. y = tanh-1 X 2
Exercises find the derivative of the function.y = sinh−1(tan x)
Exercises find the derivative of the function.ƒ(x)= coth-¹(x²)
(a) How large a deposit, at 5% interest compounded must be made to obtain a balance of $10,000 continuously, in 15 years?(b) A deposit earns interest at a rate of r percent compoundedcontinuously and
In Exercises find the indefinite integral. 2-1/t 1² dt
In Exercises find the indefinite integral. fox. (x + 1)5(x + 1)² dx
In Exercises find the derivative of the function. g(x) = log, 1x
Use the graphs of ƒ and g shown in the figures to answer the following.(a) Identify the open interval(s) on which the graphs of ƒ and g are increasing or decreasing. (b) Identify the open
In Exercises find the derivative of the function. h(x) = logs X x-1
Exercises find the derivative of the function.y = cosh-¹(3x)
Which hyperbolic derivative formulas differ from their trigonometric counterparts by a minus sign?
In Exercises evaluate the integral. In 2 2ex cosh x dx
In Exercises evaluate the integral. 25x² dx
Which hyperbolic functions take on only positive values? Which hyperbolic functions are increasing on their domains?
In Exercises evaluate the integral. √√2/4 0 2 /1 - 4x² dx
In Exercises find the derivative of the function.ƒ(x) = x(4-3x)
Discuss several ways in which the hyperbolic functions are similar to the trigonometric functions.
In Exercises find the derivative of the function.y = x2x+1
In Exercises sketch the graph of the function by hand. y = (-) 4
In Exercises find the derivative of the function.ƒ(x) = 53x
In Exercises evaluate the integral. +4 1 25 - x² dx
In Exercises find the derivative of the function. g(x) = In ex 1 + ex
In Exercises evaluate the integral. So 10 cosh² x dx
In Exercises find the derivative of the function.ƒ(x) = 3x-1
In Exercises evaluate the integral. In 2 tanh x dx
In Exercises sketch the graph of the function by hand.y = 3x/2
The value V of an item t years after it is purchased is V = 9000e-0.6t for 0 ≤ t ≤ 5.(a) Use a graphing utility to graph the function.(b) Find the rates of change of V with respect to t when t =
In Exercises use implicit differentiation to find dy/dx.cos x2 = xey
In Exercises find the indefinite integral. sech²(3x) dx
In Exercises find the indefinite integral. csch(1/x) coth(1/x) dx x²
Find the area of the region bounded by the graphs of y = 2e x, y = 0, x = 0, and x = 2.
In Exercises evaluate the definite integral. S₁² ex ex - 1 dx
In Exercises find the indefinite integral. I cosh x /9 – sinh? x dx
In Exercises find the indefinite integral. sech³ x tanh x dx
In Exercises evaluate the definite integral. 2 S = e2x e²x + 1 dx
In Exercises find the indefinite integral. x csch² -dx 2
In Exercises evaluate the definite integral. 5- xe-3x² dx
In Exercises find the indefinite integral. sech²(2x1) dx
In Exercises evaluate the definite integral. J1/2 el/x x² dx
In Exercises find the indefinite integral. e2r e²x - e-2x e²x + e-2x dx
In Exercises find the indefinite integral. sinh x 1 + sinh x - dx
In Exercises find the indefinite integral. [₁ x²ex³+1 dx
In Exercises find the indefinite integral. cosh x sinh x dx
In Exercises find the indefinite integral. cosh²(x - 1) sinh(x - 1) dx
In Exercises find the indefinite integral. e4x e2x + 1 ex dx
In Exercises find the indefinite integral. | xe!−xẻ dx xel-x²
In Exercises find the indefinite integral. cosh√√x √x dx
In Exercises find the indefinite integral. sinh(1 − 2x) dx
In Exercises find the indefinite integral. S cosh 2x dx

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