The shaded region between the graphs of y x I I <-Ax-> - 2x² + 20 and y = 3x - 15 is displayed below in 25 X

Q: Solve the differential equation -1 (x + 3)¯¹ cos (y)dx cos (y)dx O a. cos (y) In b. cos (y) In -…

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Q: How do I find tangential and normal components of the acceleration, from question 5b

A: Let's find tangential and normal components of acceleration.

Q: Consider the equations of two planes. x + y + z = 0, 8x - y + z-5=0 (a) Determine whether the planes…

A: This question can be solved using the concept of angle between two planes.

Q: 2.fe-2y dy

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Q: 1. The graph of f '(x) is continuous and increasing with an x-intercept at x = 0. Which of the…

A: Topic- application of derivatives

Q: b) 2 1/2 dx x(lnx)4

A: Topic:- integration

Q: Part 1 A rectangular tank with a square bottom has base side lengths of 3 feet and a height of 10…

A: Disclaimer:  “Since you have asked multiple questions, we will solve the first question for you. If…

Q: Find the Indefinite Integral and check your result by differentiation. (Use C for the constant of…

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Q: Let f(x) = ln(x² + 2x + 6) f'(x) =

A: We have to find the derivative.

Q: Differentiate the following function. You do not need to simplify the derivative. f(x) = (In x)5…

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Q: Let à = (-5, 4, Find the projection proja b =< 4) and b = (-4, 0, -1). of b onto a. -

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Q: Find the tangent plane to the equation z = - 3x² + 2y² + 4y at the point (4, 1, - 42). 2 = Check…

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

Q: Below is the graph of y = x² +5. 141 12- 10 -2 -1 8- 6- 4- 2 0 1 2 3 The area bounded by y = x² +5…

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Q: 9. Compute the area of the region in the ry-plane wich is bounded by the z-axis and the curve r(t) =…

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Q: 1. A particle moving along in a straight line with a uniform acceleration covers 72 cm displacement…

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Q: The function f is shown below. What is the value of answer in simplest form. -10-9-8 -7 -6 -5 -4 -3…

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

Q: If u = sin® 3 - x 2 find Ou Əx Ou and ह Hence show that 2 Ou 1 y x 3 –x dy Ou = 0

A: Given u=sin-13-xy2

Q: 9. Which of the following is f(x) = x³ the parent function for? a) f(x) = 8x³ - 13x + 11 b)…

A: 9. Which of the following is f(x)=x3 parent function for.

Q: Evaluate the following integral over the Region R." (Answer accurate to 2 decimal places). S S 4(x +…

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Q: Calculate the determinant. jk 1 -1 9 4 0 71 기 -7i-34j+3k x

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Q: Consider points A(4, -1, 3), B(3, 1, 6), and C(1, -3, -3). (a) Find the area of parallelogram ABCD…

A: The given problem is solved below in detail.

Q: 3. Find the vertex, focus, and equation of the directrix for the conic given by (x + 1)² = -20(y -…

A: We have to find focus, vertex and equation of directrix.

Q: 191. f(x) = x³ + 1

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Q: What are the associated roots forR (x) in the differential equationy''- y = R(x) where R(x) = 4cosx?…

A: Given differential equation:- y"-y = R(x) Where R(x) = 4 cosx

Q: d. y = ار نے

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Q: Consider the following function. f(x) = (x-8)ex (a) Find the critical numbers of f. (Enter your…

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Q: Find the point at which the line F(t) = + t intersects the zz plane. Check Answer

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Q: Find 2 -1 (3x³ + 7x¹) dx

A: Here we have to solve definite integral

Q: c. A ball is shot from the ground straight up into the air with initial velocity of 49 ft/sec.…

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Q: aluate the integral using integration by parts with the indicated choices of u and dv. (Use C for…

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Q: Find the linearization of the function f (x) = x6 at x = 1. L (x) = Using this linearlization, f…

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Q: Find the differential dy of the given function. (Use "dx" for dx.) 7 y = 6√x + 7 x dy = (3x72xx)dx…

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Q: 5x+3 2x² + 4x+7 -2 dx

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Q: 8. Evaluate F. dr using Stoke's theorem when F = (2xy — x²)ī — x² − y² )ī and C is the boundary of…

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Q: SEND IN 20 MINUTES PLEASE !!!! Find the absolute max. and absolute min. values of f on the given…

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Q: Find the area of one leaf of the "four-petaled rose" r = 7 sin (20). X FIGURE Four-petaled rose (Use…

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Q: Find the arc length (s) of the curve r(t) = (3t, 2 sin(2t), 2 cos (2t)) for -4 < t 5 S = Check…

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Q: If C(x) = n=0 ∞ n=0 2n + 1 2n + 2 2n ²n and S(x) = ∞2n+2 2n + 3 n=0 -x²n+ find the power series of…

A: The given power series, Cx=∑n=0∞2n+12n+2x2n and Sx=∑n=0∞2n+22n+3x2n+1

Q: (2x+5)³(52²-2x) 4. Use logarithmic differentiation to find the derivative of the function y = √2x+5

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Q: lim x3 3 3 1 – x

A: Concept: Limit: The value that a function tends to approach as the input value, also known as the…

Q: Find the gradient vector field (F(x, y, z)) of f(x, y, z) = ln(x + 5y + 6z). F(x, y, z) = =

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Q: The cross product is anti-commutative. This means that axb=-bxa. Show this is true for a=(2,3,4), b…

A: Given  a→=2,3,4 and b→=-5,-4,-3. We have to show that  a→×b→ = -b→×a→.

Q: Differentiate the following function. You do not need to simplify the derivative. ƒ'(x) = 5 f(x) =…

A: Derivative of function f(x)=lnx5

Q: Evaluate (² + y2) ds, C is the top half of the circle with radius 2 centered at (0,0) and is…

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Q: 2022" + n 2022 (d) lim sin 2022! + n!

A: Apply the limits to solve

Q: Consider the revenue function R(x) and cost function C(x) for a company, given by…

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Q: Consider the vector whose initial point is P(-6, 1) and terminal point is Q(-5, -3). Find the…

A: Recall: Position vector v→=a, b where a=x2-x1 , b=y2-y1 We have (x1, y1)=(-6, 1) and (x2, y2)=(-5,…

Q: -) 1 = dx x (1-√x)²

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Q: Evaluate [/FO f(x, y, z) ds. f(x, y, z) = xy Z S: z = x² + y², 9 ≤ x² + y² ≤ 81

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Q: Evaluate the triple integral g(x, y, z) dV over solid B. B = {(x, y, z) | x² + y² ≤ 10², x ≥ 0, y ≥…

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