Hello i need help with the following 6 questions please and thank you.

1.

What point on the line y = 9x + 10 is closest to the origin? The point on the line y = 9x + 10 closest to the origin is (Type an ordered pair. Simplify your answer. Type integers or simplified fractions.)Find all the antiderivativee of the following function. Check your work by taking the derivative. H(z}= 44215 Consider the following limit of Riemann sums of a function f on [a,b]. Identify f and express the limit as a definite integral. n lim E ( XK ) AXK; [ 3, 10] A-0k=1 The limit, expressed as a definite integral, is6 Use the definition of the definite integral to evaluate (x2 - 16) dx. 4 W n n n 2 O A. f( x)dx = lim _(xk ) Axx= lim _ - 16 4+ 2k a A-0k=1 nook = 1 b n 4+ 2k ) 2 O B. f(x)dx = lim _(Xk ) Axk = lim E - 16 n a 4-0k=1 noo k = 1 b n n 2k 2 O c. f(x)dx = lim _f(Xx xx = lim > 4+ - 16 S N n A-0k=1 n-oo k = 1 a b n n 2 n O D. f(x)dx = lim >f(X xk = lim 3 + - 16 2k a A-0k=1 n-oo k = 1\fEvaluate the following integral using the Fundamental Theorem of Calculus. 1 / 4 5 sin x dx O 1 / 4 5 sin x dx = (Type an exact answer, using radicals as needed.) 0