e?y - dy (ve)" – 1

Q: dx 2. x?V4-x2

A: Let x=2sin(u)⇒dxdu=2cos(u)⇒dx=2cos(u) du  and u=sin-1x2 ∫dxx24-x2=∫2cos(u) 2sin(u)24-2sin(u)2du…

Q: 8. A lamina occupies the top half of the disk x² +y? <4. The density at any point on the lamina is…

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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: d d Calculate ri(t) · r2(t)] and ri(t) × r2(t)] first by differentiating dt dt the product directly…

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Q: So 32 (2 + 4)° da = 5120 Select one: O True O False sin4xdx = 4 7/12 %3D Select one: O True O False…

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Q: lve each of the given LDE of order n. D² +6D+9)y=e³* (Use Reduction of Order Method)

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Q: 5. J 12 csc (-6х) cot (-6x) dx 6. J2x3 cot х4 dx 7. S xª sec (x5 - 9) dx 8. S tan 3 x dx

A: The given integral are 5) 12 csc(-6x) cot(-6x)  6) 2x3 cot(x4)

Q: A population of 200 kangaroo is released into the forest. During the first three years, the…

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Q: Find dy for dx 6) In y = In xe*

A: Topic:- derivatives

Q: Find the indefinite integral. (Use C for the constant of integration.) tan2 dx secº x

A: Solve the following

Q: Find V. (V x F), if F(x, y, z) = 7e**i+ 8xej – 3elk.

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Q: Use Green's Theorem to evaluate the integral. Assume that the curve C'is oriented counterclockwise.…

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Q: ||r'(t) x r" (t)|| Use the formula k(t) to find k(t). r(t) = eti+e*j 42 est K(t) %3D (36 el2t +…

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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: Suppose that in the inventory problem, the storage cost depends on the maximum inventory size,…

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Q: A ladder of length 4v3 metres is resting on a wall. The wall makes a 60-degree angle with the…

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Q: dy Find for dx 3) y = In(vx2 + 1+x) sin¯1x X.

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Q: L 32 da = 65 %3D Select one: O True O False A2Vadx = 104/3 Select one: O True O False S (+4)(a+3)da…

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Q: y = zsin z

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Q: x³dx is equivalent to Using trigonometric substitution, Vx² –4 A 6/ tan*0 seco do B) None © 8 sec0…

A: I am attaching image so that you understand each and every step.

Q: Find V (F × G), if F(x, y, z) = 11xi+j+3yk and G(x, y, z) = xi + yj – zk. V. (F x G) = %3D

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Q: Refer to the graph below. Find the producer surplus for the supply function, S, when x=20. Hint:…

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Q: The absolute value of the complex number [2 + sqrt (2) + pi] +j [e- sqrt (3) + 5] O 8.88 O 11.5 O…

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

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Q: |y csc?y dy is equal to A) y coty+ coty B -у соty + coty dy C) None (D -y coty - | coty dy E у coty-…

A: we have to find out

Q: Problem 3 Find a power series representation for the function and determine its radius of…

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Q: Determine whether the following series are absolutely canvergen t, Conditionally convergent,…

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Q: dy = xe with y(0) = 4 dx

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Q: Find the PV of an income stream that pays out continuously at a rate of R(t) = 3000e0.1" dollars per…

A: Given problem:- Find the PV of an income stream that pays out continuously at a rate of R(t) =…

Q: Given Cost and Revenue functions C(q) = q° - 8q + 52q and R(g) = - 3q + 2500q, find the quantity…

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Q: Refer to the graph below. Find the consumer surplus for the demand function, D, when x= 20. Hint:…

A: We have to find the consumer surplus for the demand

Q: The general solution of the differential equation dy/dx 12x is y = 4x + C. Select one: O True O…

A: A separable differential equation can be written is of the form of dydx=f(x)g(y).

Q: 3x? (x³ + 4)* dæ = 5120 Select one: O True O False

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Q: The differential equation (xy2 + y)dy = (x+1)dx is separable. %3D

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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: Solve the De as follows via Laplace transformations: y"- (14/3)y" - (55/3)y' + 14y = 0; y(0) = -1,…

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Q: A box with a square base and open top must have a volume of 415292 cm. We wish to find the…

A: topic - application of derivatives

Q: A restaurant has an annual demand for 884 bottles of California wine. It costs $3 to store 1 bottle…

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Q: LI (x + 4)(x +3)dr = 74/3 Select one: O True O False

A: topic- definite integral

Q: S- x³dx is equivalent Vx²-4 Using trigonometric substitution,

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Q: Consider the following. RX) = x In x², (-1, 0) (a) Find an equation of the tangent line to the graph…

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Q: r arcsin(5y) dy. Consider the integral V1– 25y? This can be transformed into a basic integral by…

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Q: L 3a da = 65 Select one: O True O False 2Vada = 104/3 %3D Select one: O True O False L(z +4)(z +3)dz…

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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

Q: Use the given vectors to find v•w and v.v. v = 61 - 4), w= - 21 -J v•w= 2 (Simplify your answer.)…

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Q: S(e3x-e 2x -e*)*dx

A: ∫e3x-e-2x-e-x4dx=∫…

Q: Use the Ratio Test to determine the convergence or divergence of the series. If the Ratio Test is…

A: an=n45nlimn→∞ an+1an=limn→∞ (n+1)4 5n5n+1 n4=limn→∞ (n+1)4 5nn4  5n 5

Q: A street light is mounted at the top of a 15 ft tall pole. A man 6 ft tall walks away from the pole…

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Q: One of the correct steps to evaluate x2inx x²Inx dx to yield the correct integral A x?Inx B 1 x3 dx…

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Q: Evaluate the double integral using single applications of Simpson's 1/3 rule 2 (x2. 3y2 + xy³) dx dy…

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