Find dy dx 2. y tan-¹(csch x³)

Q: 3 Jess bought a new car for £12 000. In the first year the value of the car depreciates by 20%. In…

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Q: A plane is defined by the equation x - 7y - 18z = 0. a. What is a normal vector to this plane? b.…

A: The given equation of the plane: x-7y-18z=0.

Q: 2. 2 y² - 4y + 10 dy

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Q: U 3 11 K A Find an equation of the tangent line to the curve at the given point. y = x In(x), (1, 0)…

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Q: Find the area of the region enclosed by the cardioid r = 2(1− sin θ).

A: Given:  r = 2(1− sin θ)

Q: a) dy dx xe ex²+ y(0)=1

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Q: USING APPROXIMATION METHOD FIND THE INTEGRATION OF THE FOLLOWING PROBLEMS: Use at least 6 decimal…

A: Given :∫-24sinx2+2dxn=6

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A: Let's solve given rate of change problem.

Q: Find the orthogonal trajectories of the family of curves: y = k (csc x + cotx) Ⓒy²= 2 (C- cos x) O y…

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

Q: A freshly brewed cup of coffee has temperature 95°C in a 20°C room. When its temperature is 66°C, it…

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Q: Find dy dx 4. y = xln(5x-2)

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Q: W1 3. Let w = , v = (m₂). Referring to the image below, show that the area of the parallelo- W2 gram…

A: We need to solve for area. As per Bartleby's guidelines we can solve one question from multiple…

Q: -15 Evaluate the integral: -dz x²√²+64 (A) Which trig substitution is correct for this integral? 0x…

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Q: Q1/Without using L'Hopital rule, find the following limit. lim

A: We can solve the question as below and as per the asked method.

Q: Find the nth Maclaurin polynomial for the function. f(x) = ex, n=5

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Q: DETERMINE WHETHER THE GIVEN FUNCTION n(x) IS CONTINUOUS OR DISCONTINUOUS AT x = 2 3x² +4 n(x) = if x…

A: For function to be continuous at any point, limiting value of function at that point must be equal…

Q: Find closed Sets A= [2,5), B = {2, 4, 6, 8, 10,--- }, C = {6, 21, 42, 58}

A: We have to find the closed sets.

Q: The figure below shows J(a) and its local linearization at a = What is the value of a? a = 2 What is…

A: linearization

Q: Solve for the homogeneous linear equation given below 1. xydy- (x + 2y)² dy = 0 O-In ()-4lny = C…

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Q: - 13. If u = (4, -9, -1) and v = 4ỉ − 2] + k, determine each of the following: a. u.v f. (2ū+ v) ×…

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Q: Find all values of k, if any, that satisfy the equation. Enter the exact answer(s). 4 0 [22 k 40 = 0…

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Q: 3. Integrate the function below using Algebraic and 4 lines only (solution + answer). substitution S…

A: ∫x11 dx

Q: 2 n (2k + n)2 k=2

A: Since you have posted multiple question in this question which are not interlinked so i have solved…

Q: Given the differential equation xy³dx + (x²y² + 1) dy = 0, What is SN ? dx

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Q: Find the derivative dy dx dx of the function y = sec (1 + 4 + sin ¹(4 + ²)

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Q: Find a tight upper bound for the approximation to * cos(z) cos(x) Note that the second derivative of…

A: Concept: Midpoint rule: Assume f(x) is a continuous function on [a,b]. Let n be a positive integer…

Q: A turkey is removed from the oven when its temperature reaches 185°F and is placed on a table in a…

A: Given problem:- A turkey is removed from the oven when its temperature reaches 185°F and is placed…

Q: Evaluate the integral. (Use C for the constant of integration.) 64 + e* dx

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Q: Suppose that f(x) is differentiable for x > 0, y = 2x + 1 is the tangent line to the graph of fat x…

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Q: 370 0 3sin²2x dx

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Q: Find the area bounded by the curve y = x 2 and y = 2 − x 2

A: To find area bounded by the curves y=x2 and y=2-x2.

Q: A plane is defined by the equation x - 7y - 18z = 0. a. What is a normal vector to this plane? b.…

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Q: Find the derivative dy dx || dy dx of the function y = sec (₁ +√4+ sin ¹(4 + ²))

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Q: Find an equation of the set of all points equidistant from the points A(-2, 5, 2) and B(4, 3, -2).…

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Q: For each of the following functions, do t a. Determine if f is continuous at a. Determine if f is…

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Q: Evaluate € fff.₂²². e² dV where E is enclosed by the paraboloid z = 3 + z² + y², the cylinder z² +…

A: We need to find integral.

Q: Tutorial Exercise Calculate two iterations of Newton's Method to approximate a zero of the function…

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Q: Use the given information to find A. A-1 [$3 4 5 5 12 NOTE: Write the elements of the matrix…

A: Topic = Matrix

Q: Find the derivative of the trigonometric function. y = cos((?x)8)

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Q: 2.(D5 – 2D³ – 2D² – 3D — 2) y - - = 0

A: To solve the higher order differential equation.

Q: Q1/ Without using L'Hopital rule, find the following limit. x²-x-2 lim 4x²+4x

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Q: 3. Find the solution of the following systems of differential equatio (c) [x' (t) = -6x (t) + 4y(t)…

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Q: 4a) S 3x+7 (8+6x-9x²) 3/2 -dx 4b) S 2x²-11x-1 (x+3)(x² +1) -dx

A: ∫un du =un+1n+1+C ∫sec2(u) du = tan(u) +C Note : As per our guidelines ,we can solve first question.…

Q: 6) 10 xdx (1-x2)3/2 S, T₁

A: See the details solution in below

Q: Consider Mean Value theorem for derivative for function f(x) 4(1-2x) in interval [0,1]. TCOS(TX) -

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Q: 1. √2 √2x-x² dx

A: We have to integrate to the given function

Q: The answer is Blank 1. Blank 1 Add your answer Let R be the region enclosed by the curves y = x³ and…

A: Let's find value of g(8).

Q: 9-34 Evaluate the integral, if it exists. tb (1)nia 9. ² (8x³ + 3x²) dx 11. f' (1-x) dx 13. f³√x (x…

A: Since you have posted multiple questions. As per guidelines we"ll solve only first part.

Q: X hat is the value of lima f(a)-aƒ(x)? r-a

A: Topic:- limits

Q: Find the linear approximation at x = 0 to Write your answer in the form y = Ax + B.

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