So 32 (z + 4)° da = 5120 %3D Select one: O True O False S sin4a da = 4 7/3 7/12 %3D Select one: O True O False plin2 %3D Select one: O True O False

Q: x²– 9 ?

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Q: Use logarithmic differentiation to evaluate f'(x). (x + 4)8 f(x) = (3x - 3) f'(x) =|

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Q: EVALUATE EACH OF THE FOLLOWING INDEFINITE INTEGRALS. Show step by step solution. dx x²V4-x2

A: The given integral is 1/[x2 sqrt(4-x2)].

Q: 1. The point P(p, 1), where p>0, lies on the curve x2 + 2xy3 – : y = 0. a) Calculate the value of p.…

A: we have to find value of p.

Q: Given =16,-2,k) and V=14,-4, 0]. Determine the value(s) of k if the angle between ü and v is 60°.

A: We will find the possible values of K as shown below

Q: 5) FIND THE MACLAURIN MALLAL fOR SERIES fa)=x cos (2x) %3D

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Q: 7. For what values of m does the function y = e™* satisfying the following equation y" – 3y' – 10y =…

A: We have to find the values of m.

Q: furt A)APproximate tue area unde hex)=X2 from x=0 to X=2u5ing four rectungles and X=0 a left and…

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Q: Answer the questions for the following polar equation. 3 r 3= 3+10cos0 (a) Identify the conic as a…

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Q: S- 3 dy 3y - sin n -1 4-9y2 3 A True B False

A: We have to find out

Q: Use limits to find f'(x) if f(x) = 3x. f'(x) =| (Simplify your answer.)

A: Consider the function  f(x)=3x

Q: ||r(t) × r"(t)|| ||M(t)|| Use the formula k(t) to find k(t). r(t) = t²i + t'"j 242 t7 K(t) = (4+ 121…

A: Cross product

Q: Use the Ratio Test to determine the radius of convergence of Eo (Use symbolic notation and fractions…

A:

Q: Suppose a population function P(t)  the following differential equation. P is measured in millions…

A: Given dPdt = P(P-10) The slope field is plotted in Desmos slope field generator

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Q: у" - у'— бу %3D 2, у (0) %3D 0, y'(0) = 0

A: Given that     y" - y' -6y = 2 , y(0)=0 , y'(0) = 0

Q: QUESTION 6 Refer to the graph below. When the price of a product is P2, then the consumer surplus…

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Q: Determine whether the improper integral converges and, if so, evaluate it. (Use symbolic notation…

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Q: t Attempt in Progress antity P is an exponential function of time t, such that P = 40 when t = 4 and…

A: for simplicity take P0=a Given  for t=4 , P=40 for t = 3 , P = 50

Q: 4- The graph of f is given in the figure to the right. Let A(x) = | f(t) dt and evaluate A(4), A(6),…

A: Integration gives area under curve  area above x axis is positive  area under x axis is negative.

Q: Find two values of 0, 0so<2n, that satisfy the following equation. cos = 2 (Simplify your answer.…

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Q: Find the volume of the solid generated by revolving the region bounded by the graphs of the…

A: Given

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Q: For the following demand function, find (a) E, and (b) values of q (if any) at which total revenue…

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Q: Find the area of the plane region bounded by y = x2 - 4x and y = x(2-x). Answer:

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Q: For bER, b>0, b÷1, which of the following is not a property of the exponential function f(x) =b*? A.…

A: We  have to find out about exponential function

Q: Verify Green's Theorem by evaluating both integrals y2 dx + x² dy = dA ду for the given path. C:…

A: In this question we can verify the Green's Theorem . i.e, ∫C M dx +Ndy = ∫∫R ∂N∂x-∂M∂ydA .

Q: If f(2) = 10, f' is continuous, and f'(x) dx = 20, what is the value of f(3)? f(3) =

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Q: (D² +6D+9)y=e³* 3x

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Q: We have a piece of cardboard that is 14 inches by 10 inches and we're going to cut out the corners…

A: We need to determine height of the box.

Q: QUESTION 13 nd all possible corner points of the feasible region described by the following system…

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Q: Evaluate the integral using the Integration by Parts formula with u = x, dv = cos(4x) dx. (Use…

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Q: Find the exact value of the expressions cos(a + B), sin(a + P) and tan(a + B) under the following…

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Q: Let 7 (t) = (3t2 – 1,t? – 2t3, Find the line (L) tangent to r(t) at the point (11, – 12, – 64) –…

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Q: EVALUATE EACH OF THE FOLLOWING INDEFINITE INTEGRALS. Show step by step solution. 1. dx

A: see below the answer and calculation with steps

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Q: dx 2. x²/4-x² V4-x2

A:

Q: help answering

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Q: x+1 1.

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Q: Clairaut's Theorem Give one example of a function where the Clairaut Theorem fails, and justify your…

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Q: dP/dt= P(P − 10),

A: answer is in next step

Q: Consider the following. f(x) x(x2 – 11x + 35) - g(x) = x²

A: