12. If $5000 is deposited in a bank paying r% interest (r = interest rate), the amount 3 years later will be given by A(r) = 5000(1+0.01r)³ Find A'(5) and interpret the answer.

Q: Consider the following functions. f(x) = 4x + 6, g(x) = 5x - 1 Find (fog)(x). Find the domain of…

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Q: If h(2) = 3 and h'(2) = −8, find. d/dx(h(x)/x) x=2

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Q: Find the derivative of the following functions. Whenever possible, express answer in factored form.…

A: We have to find derivative of given function.

Q: 10. The national debt of a South American country t years from now is predicted to be D(t): 65 +9t3…

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Q: (d) The area of the triangle AKMN is A=25-√√3 in². If <MKN = 30°, find |KN|=|MN|= ?

A: Given , A(∆KMN)=253.|KN|=|MN|∠MKN=30°

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Q: Solve the Bernoulli Equation and Explain Each Step 2 B.y + y = xy², y(0) = ¹/

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Q: Give the actual solution of dy -= 2xy² + 3x²y² if y = -1 when x = 1 dx

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Q: G(r)=3r^3/2 + r^5/2 /r  *differentiate the function How do I approach problems like this? Like…

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Q: Find the derivative of the following functions. Whenever possible, express answer in factored form.…

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Q: Use vector notation to describe the points that lie in the given configuration. (Let s and t be…

A: Given that  The plane spanned by.  v1 = (5, 6, 0) and v2 = (0, 5, 6)   To find :- The vector…

Q: let 3x² - 6x +9 (x² + 9) (x-3) - Ax+ B x²+9 + C x-3 Find A, B and C

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Q: Differentiate. Don't simplify. 17. f(x) = sin 3x 18. g(x) = (sin 3x)³ 19. h(x) = (sin 3x)³ + 5x…

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Q: Use this table about differentiable functions f and g to answer the following. x f(x) f'(x) g(x)…

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Q: Solutions

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Q: Find the lengths of the sides of the triangle PQR. P(7,-1, 2), Q(9, 0, 4), R(10, -2, 2) |PQ| = |QR|…

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Q: II. Find the equation of the normal line to the curves at the point of tangency, if given.…

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Q: y = 8 tan 5x + 4 cos 3x + 11secx

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Q: 2 1. (2xy-3x²) dx + (x ² + 2y) dy = 0

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Q: f(x)=x^3(x+3) *differentiate the function

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Q: Let f(x) be a continuous even function, and g(x) be a continuous odd function. Suppose that:…

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Q: Is it true that a continuous function that is never zero on an interval never changes sign on that…

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Q: (b) Express sin(cos x) in terms of x only.

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Q: y=f(x) Fig. 2 a) lim f(x) X-4- d) lim f(x) x-3- b) lim f(x) X-4+ e) lim f(x) c) lim f(x) x→4 f) lim…

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Q: Find an integrating factor for the D.E. (2xy³ – 2x ³y ³ − 4xy² + 2x) dx + ( 3x²y² + 4y) dy = 0

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Q: Given F(r, s, t) = -r(58³ + 7tº), compute: Frst

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Q: Evaluate the integral using an appropriate substitution. 10e +e -x 10e* e-x S C dx = +

A: sunstitute   10e^x-e^{-x}=u

Q: Given limx→4f(x)=4limx→4f(x)=4 and limx→4g(x)=4limx→4g(x)=4, Evaluate :  limx→4f(x)+g(x)8f(x). The…

A: See this solution in below.

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Q: 2x-1 1. At what point/s will the tangent/s to the curve y=- 2x+1 be parallel to the line y-4x+3=0?

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Q: (cos x-cosy-cotx) dx-sinx.

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Q: (A) x² +6x+k (B) x²-x+k (C) x² +19x+k

A: answer is in step2