What is the exact value of csc > O 2√5 3 IN O-2 14 (¹4) ²

Q: √2x+6 2. Y = √√√3x² +10x +3

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Q: What is the equation of the sphere whose center is at (0, -3, 8) and with a radius of 5? Select the

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Q: Solve the given initial-value problem. y(x) = y" + 6y7y = 11e2x, y(0) = 1, y'(0) = 1 2x -7.x 7e +…

A: We can solve the given initial valued problem .

Q: Σ n=1 sin n n2 + 10

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Q: 3. y = √(1-x²³ √1-22

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Q: 20. The graph of the first derivative f' of a function f is continuous on (-∞, ∞). -2 -1 f'(x) 1 2 3…

A: According to Bartleby guidelines I can only answer the first three sub questions of the given…

Q: Q3 :(A): By using " L' Hopital rules "; Find the limits of : 1 (1) limx-o[: 1-cos x 2 sin²x A 1.

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Q: (a) State the Fundamental Theorem of Calculus Part I √x (b) If G(x) = cos(t¹) dt, compute Gʻ(z). (c)…

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Q: Use geometry (not Riemann sums) to evaluate the following definite integral. Sketch a graph of the…

A: This question can be solved using the concept of geometry to solve definite integrals.

Q: B. A heavy rock is thrown straight up with a velocity of 160 ft/ sec. The rock reaches a of S=160t -…

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Q: What is the arc length of the curve of x5 y = + 10 1 6x3 from x=2 to x = 5?

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Q: p = 3 csc()csc (0)

A: find an equation in rectangular coordinates for the EQUATION GIVEN IN SPHERICAL COORDINATES  p=…

Q: Solve the following linear systems of differential equations.

A: As per as our guidelines i am supposed to answer only three part of this question Please repost…

Q: Find the general solution of the differential equation y" 10y' +61y = 0. NOTE: Use c₁ and ce as…

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Q: find the equation of the tangent to the curve y = x+2x^(1/3) through point (8,12)

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Q: Given that 0. ∞ n=0 x = 1 1 <- x to x = = Identify its interval of convergence. The series is…

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Q: Test the series below for convergence using the Ratio Test. Σ n=1 n! The limit of the ratio test…

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Q: Use L'Hopital's to determine the limit. lim 0 0 1 1-cos x I O sin x COS X as x approaches 0

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Q: Consider the following function. f(x) = e3x² a = 0, n = 3, 0 ≤ x ≤ 0.1 (a) Approximate f by a Taylor…

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Q: A store finds that its sales revenue changes at a rate given by S'(t) = -30t² + 400t dollars per day…

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Q: 5.) Scosx (69425 Jax Са (9 + 25 sin(x) dx

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Q: • 5x²+1 (t²-t) dx F(x) =

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Q: Find the trigonometric integral. (Use C for the constant of integration.) [" (cos(20)) (sin(0) +…

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Q: Find the indefinite integral using any method. (Use C for the constant of integration.) (sin(0) +…

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Q: ∞ 20. ) (-1) n=1 (n + 1)! (n + 1)”

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Q: Q1: Fill in the blanks for the following statements (chose five only) 4n 1. lim→∞ 2n+1 log10 (3x -…

A: The objective of the question is fill the blanks.

Q: Find the derivative of y with respect to the independent variable. y = 2ln 2t 2 In 2 t OB. 2In 2t In…

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Q: Sketch the region enclosed by the curves and find its area. 1 √1-9x2¹ Y=2 NOTE: Enter the exact…

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Q: The graph of y = f(x) is shown. Use the graph to answer the question. Is f continuous at x = -4?…

A: The graph of the function y = f(x). With the help of this graph, we have to show that, Is the…

Q: Σ(−1)n n² + 2n + 3 5η3 + n + 1 n=1 11.

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Q: find an equation in rectangular coordinates for the equation given in cylindrical coordinates r= 2z

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Q: 2: io ue Approximate the area of the region bounded by the graph of f(t) = cos (t/2-5/8) and the…

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Q: ind the standard equation of the sphere  with diameter and end points below (6,-1,-2), (4,11,12)

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Q: Find each of the following for f(x) = 6x² - 6x +6. (A) f(x+h) (B) f(x+h)-f(x) (C) f(x+h)-f(x) h

A: In this question we have to find the following given parts in the question.

Q: Let D be the planar region bounded by y = 0, y = x², and x = 1. The integral ff cos(2² +1²) dA…

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Q: Given: f" f(x)dx= 36, [ f(x)dr = 12, 2. Find the ff. numbers: So a. C. f(x)dx b. [ (2f(x) + +12g(x)…

A: Explained below

Q: find the distance between point (-1,1,3) and the plane 5x-5y+3z=25

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Q: If y₁ and y2 are linearly independent solutions of ty" + 4y' + te³y = 0 and if W(y₁, y2)(1) = 4,…

A: Need to find out the Wy1,y24

Q: · F(x) = 5* (S₁²¹6 (√₁+ u²) du) dt

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Q: ¡¡y y cos x² dx dy Evaluate the double integral by reversing the order Show your answer in details.

A: Change the order of integration and then  change limits respectively

Q: Find the general indefinite integral. (Use C for the constant of integration.)

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Q: 6. (8x³ − 6x² + 12x − 9)dx (x²-1)³ √x 8. [ V4 – x2 xdx 10 9. § (2x³ + 5)¹⁰ x² dx 7. S - dx

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Q: Given that ſ♫ sin xdx = 2, find the average value of the sine function on the interval [0, π]. Also,…

A: Please see the below picture for detailed solution .

Q: find an equation of a plane passing through the given point and perpendicular to the given vector…

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Q: identify the following quadric surface x^2/6 + y^2/6 + z^2/16 =1

A: This question is related to Quadric surfaces, we will solve it using given information.

Q: 6. Find complementary function and particular integral of the following differential equation: (D- d…

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Q: Prove that (3-2)(x+2) = 3+2i ifitues.

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Q: Find the average value gave of the function g on the given interval. 9 ave 11 g(t) = t √8+2² 8 + t…

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Q: cx²+1 ₂. F(x) = [²² - -H (t³ - t) dx

A: We have to find derivative

Q: Q5: Find for the following functions: dx (1) In(x - y) = xy + y³; (2)y=tan³ √/cot(7x); cash? -nh.…

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