NEED HELP ON SCREENSHOTS 19 THROUGH 25! MAKE SURE TO ANSWER ALL PARTS WITHIN EACH SCREENSHOT! NUMBER THEM AS WELL LIKE I DID SO I KNOW WHERE YOUR SOLUTIONS GO! THANK YOU!!!
Find f'(x) and nd the equation of the line tangent to the graph of f at the indicated value of x. x x)' x=1 _ (2x-1)5' f'(X) = The equation of the line tangent to the graph off at x = 1 is y = Enter your answer in each of the answer boxes. Save for Later A research group using hospital records developed an approximate mathematical model relating systolic blood pressure and age. P(x)=50+35ln(x+2) asxsss P00 is pressure measured in millimeters of mercury and x is age in years. The rate of change of pressure at the end of 20 years is mm/year. (Type an integer or decimal rounded to the nearest hundredth as needed.) The rate of change of pressure at the end of 30 years is mmlyear, (Type an integer or decimal rounded to the nearest hundredth as needed.) The rate of change of pressure at the end of 60 years is mm/yean (Type an integer or decimal rounded to the nearest hundredth as needed.) Enter your answer in each of the answer boxes. Save for Later Find y' in two ways for the equation 5x + 7y + 6 = 0. (A) Differentiate the given equation implicitly and then solve for y'. (E) Solve the given equation for y and then differentiate directly. (A) What is the implicit differentiation of the given function? OA. 5-7y'=0 OB. -5+7y'=0 Oc. -5x-7y'=0 OD. 5+7y'=0 (B) Solve the given equation for y. y: Using either method, y' = Click to select your answer(s). Save for Later 22 (A) Differentiate the given equation implicitly and then solve for y'. (B) Solve the given equation for y and then differentiate directly 2x- - 6y - 14 = 0 (A) First, differentiate 2x- 6y - 14 =0 implicitly, term by term. dx (2x2) = dx (6y) = dy (14) = 0 dx (0) = 0 Using these answers, find y'. y' = 0 (B) First, solve 2x2 - 6y - 14 = 0 for y. y =0 Take the derivative of the function just obtained. y' = 0 Enter your answer in each of the answer boxes. ? Save for LaterThe demand x is the number of items that can be sold at a price of $p. For x = p2 - 5p + 1400, nd the rate of change of p with respect to x by differentiating implicitly. The rate of change of the price p with respect to the demand x is Enter your answer in the answer box. Save for Later A point is moving on the gmph of xy = B. When the point is at (2,3), its xcoordinate is increasing by 2 units per second. How fast is the y-ooordinate changing at that moment? The y-ooordinate is decreasing at _ units per second. (Simplify your answer.) Enter your answer in the answer box. 6 Save for Later 4 ' y O A rock is thrown into a still pond, The circular ripples move outward from the point of impact of the rock so that the radius of the circle formed by a ripple increases at the rate of 4 feet per minute. Find the rate at which the area is changing at the instant the radius is 17 feet When the radius is 17 feet, the area is changing at approximately square feet per minute. (Round to the nearest thousandth as needed) Enter your answer in the answer box. Save for Later
