1. | 37 2 T 2 cos² 4x dx

Q: 5 4 3 2 -2 2 The graph above shows the base of an object. Compute the value of the volume of the…

A: Given Cross section perpendicular to the base is square.

Q: verges. 8 (-1)"6" n=1 5n lect the correct answer below: a) The series converges absolutely O b) The…

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Q: یک 2. G(x) = L tanz et et +3 -dt

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Q: lim (cos(9x)) (+) +0+x

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Q: When you A B D E T R|N 2 None of the given choices Pa evaluate: 4 S²S²x² 0 0 xsin ²(y) dy dx the…

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Q: 3. Find the derivative of each of the following functions. Justify your answer. (a) f(x)= (b) y e I…

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Q: Differentiate parametrically to find X 1 t-1 y=t³+2 dy dx in terms of t:

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Q: pulation of a certain inner-city area is estimated to be declining according to the model P(t)=…

A: answer is in next step. please give a like !!

Q: Determine whether the following series converges. 5(-1) Σ 5k+6 k=0 Let ak 20 represent the magnitude…

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Q: A breeding group of foxes is introduced into a protected area and exhibits logistic population…

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Q: = Find the angle between A (3,-2, 3) and B = (1, -3, -3).

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Q: Calculus II

A: The given sequences, a) an=(-1)nn4b) an=lnn32nc) an=n-knn,  k is a positive constant.

Q: Apply the divergence test for the given series. ∞ n=1 - (n-4)² Select the answer that best fits the…

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Q: At which of the marked values of x is A. f(x) greatest? x = B. f(x) least? x = c. f'(x) greatest? x…

A: Note:- According to company guideline we can do maximum 3 sub parts so i am solving here first 3

Q: Partial fraction decomposition can now be used to write L{y}, such that all terms have linear…

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Q: Let R be the region bounded by the following curves. Find the volume of the solid generated when R…

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Q: Evaluate the following integral using trigonometric substitution. dx 2 x - 289 " || X> 17 dx 2 x² -…

A: The objective is to evaluate the integral using trigonometric substitution.

Q: 1. Testing convergence for an alternating series. (a) Carefully determine the convergence of the…

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Q: Suppose a population of P(t) satisfies dP dt 0.4P - 0.001P² P(0) = 50 a What is the carrying…

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Q: Find the solution of the initial-value problem of xy ³ √1+x²¹ y' = y(0) = -1

A: Here we have to solve the differential equation.

Q: 2,0 Va Find the formula for f. f(x) = 0

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Q: 2 y = In (x-√x²-1), for 1 ≤ x ≤ √/485 (Hint: The length of the curve is (Simplify your answer)

A: Topic:- application of derivatives and integration

Q: 24. g(t) = t³ + 4t

A: Solution: g(t)=t3+4t The derivative of g(t) with respect to t is defined as limh→0f(g+h)-f(g)h

Q: If the rate of change in the microwave rays M(x), where x is the distance, decreases with a rate…

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Q: The base of a three-dimensional figure is bound by the graph x = y3 on the interval [1, 2]. Vertical…

A: answer is in next step.

Q: If f(x) = 4x² - 4x + 4, find f'(3). Use this to find the equation of the tangent line to the…

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: of a sequence and its series. Giver (An) is convergent. } is convergent.

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Q: If f(3) = 5 and f ′(x) ≥ 2 for 3 ≤ x ≤ 7, how small can f(7) possibly be?

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Q: 3. Find the general solution of the differential equation y(4) — 4y" = t² +et.

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Q: Find the standard form of the equation of the ellipse satisfying the given conditions. Major axis…

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Q: Find the indefinite integral. [Hint: Use some algebra first.] (Use C for the constant of…

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Q: A sequence is defined recursively by the given formulas. Find the first five terms of the sequence.…

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Q: curity According to a certain news poll, 63% agreed that it should be the government's…

A: Topic:- Probability

Q: dX If the side of a cube is expanding at the rate d = 2t cm/sec, and X(0) = 3 cm. What is the volume…

A: This question can be solved using the concept of differential equation.

Q: Use integration by parts to evaluate [x²mx In x dx

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Q: Let f(x) = Then f'(x) = m = b = 3 sin x 6 sin x + 2 cos x The equation of the tangent line to y =…

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Q: 3x2+2 0 2x²+4x+3 So dx

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Q: Determine whether the telescoping series converges or diverges. 5 5 Σn=1 (√2+2 -√2+3) /n+2 a) The…

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Q: If tan(x) Give exact answers. sin(2x) = cos(2x) tan(2x) = (in Quadrant 1), find Submit Question Jump…

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Q: 3. KIN 2 13² cos x V1+sin x dx

A: The given integral, ∫0π2cos x1+sinxdx

Q: anxenes Consider the following. v = (0, -4,-3) (a) Find the projection of u onto v. 42 25 18 12 25…

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Q: If ƒ^ = {(−7, 1), (-5, 8), (3, 11), (5,-1)} and g = {(-6, 4), (-5, 3), (-1, 7), (5, 5)} what is f +…

A: If f=-7, 1, -5, 8, 3, 11, 5, -1 and g=-6, 4, -5, 3, -1, 7, 5, 5then to determine f+g.

Q: 7. Using the method of undetermined coefficients, what is the final form for a particular solution…

A: We first find complementary function

Q: Determine the limit of the given sequence: sin (159) an = If the limit does not exist, enter Ø. If…

A: Use limit

Q: Does the series n=1 n5/4 converge or diverge?

A: The given series is 1/n5/4, n from 1 to infinity.

Q: Find the value of a if the centroid of the region bounded by the parabola y² = 4px and the line x =…

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Q: Problem 16. (a) Calculate the following antiderivatives: //=/ dx = (b) / -55 (c) / 2e" dx = [ -5 sin…

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Q: In Problems 1-5, let R be the region bounded by y = 4-(x - 2)² and y = x. Each problem will describe…

A: Given: Let R be the region bounded by y=4-x-22 and y=x. To Find: 4 To write an integral expression…

Q: Question 1: 10 Find the standard form of the equation of the ellipse and give the location of its…

A: The objective is to find the standard form of the ellipse.

Q: -8 -4 Challenge #4 24 160 -8 0 -8 4 Plot four exponential functions. Each one should pass through…

A: we have to find the exponential functions passing through the blue point and the black point