MATA32H3 Exam Solution: Compound Interest, Cist, Marginal Cost

560 Test exercise 7 Write out the solutions carefully. They all quite straightforward. 1 Differentiate the following with respect to x: 38 (b) (Sr +3,- (O cosh, (a) tan 2x sin, 4x er)-3x 2 lfx2 + ,2-2x+2y-23,find/rand얽at the point where x--zy. 4 Ifx-11-cos" and y-3(.-sin") find a and a: in their simple (d) kg.dr.3x-1) sina 田 (x+1 diy when r,y,4ay2以 3 Find an expression for forms Further problems 7 39 1 Differentiate with respect to (b) In(secx+tanx (c) sinxcos'x 2 Find when: a)y-14 cosx if y is a function of x, and x-T+1 show that훑-x(1-x)dr 3 5 Differentiate coshx-1 coshx1 ",.tow. "r-wrmF} o, ,.刍 7 If(x-n'-A(x + y. prove that (2x + y -x+2y. If.e + 2xy + 3,-이.prove that (x + 3 '헒+2tx2 + 2xy + 9 Scanned by CamScanner

Graph the exponential function. f(x) = 2^x + 1 Find out how long it takes a exist2900 investment to double if it is invested at 8% compounded semiannually. Round to the nearest tenth of a year Use the formula A = P(1 + r/n)^nt A) 86 years B) 9 years. C)92 years D) 88 years Give an exact answer. log_4 x + log_4 (x - 15) = 2 A) (4) B) (-163) C) (16) D) (-4) Solve the exponential equation by taking the logarithm on both sides. Express the solution set in terms of logarithms e^(x+7) = 4 A) in 11 B) e^4 + 7 C) in (4) -7 D) e^28 Find the center and radius of the circle. x^2 + y^2 + 2x + 16y + 61 =0 A) (1 8) r = 2 B) (8 1) r = 4 C) (1 8) r = 4 D) (8 1) r = 2

Choose the one alternative that best completes the statement or answer the question. Find the center and radius of the circle. X^2 + y^2 -18x -16y + 64 = 0 center(-9, -8); radius:81 center (9, 8); radius:9 center (-8, -9); radius:81 center (8, 9); radius:9 Find the coordinates of the other endpoint of the segment, given its midpoint and one end point. midpoint(3, -8), endpoint(1, -5) (3, 1) (-5, -7) (-1, -2) (-1, -11) Evaluate the function. Find f(4) when f(x) = 4x^2 -4x+7 87 41 7 55 Find the requested value. Using the given tables, find (g f)(3) 3 5 7 13 f(-2) for f(x) = {7x-1, if x 6 15 -13 8 -4 Write an equation for the line described. Give your answer in slope-intercept form. m = -5 through (-4, 9) 5x + y =11 y = -5x + 18 y = -5x -11 y = 5x-9 Determine if the function is even, odd, or either. f(x) = x^4 -3x^2 -5 Even Odd Neither