dy dx (1) In(x - y) = xy + y³; (4) y = x sinh 2x -cosh 2x Q5: Find for the following functions: (2) y = tan³ √cot (7x) ; GOOD LUCK (3) y = ex sin² x In√x

Q: Sketch the space curve. Function r(t) = (5 sin t, 3t, 5 cos t) 1.0 0.5 0.0 0.0 -0.5 -1.0 -5 N 0.5…

A: Please see the below picture for detailed solution.

Q: y = sin(x), y = 0, x=0, x= π Exercise (a) the volume of the solid formed by revolving the region…

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Q: 1. y = Arccos 1-x

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Q: Q2: Solve the following integrals: (3) √ √dx dx (4) fxe* dx

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Q: 4 (A): If A = 2 -2 Find AB and AC. 2 01 1 -1 0; 1 2 B = 2 -1 3 1 -2 -2 and 2 1 3 C = 0 1-31 6 1 2 -1…

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Q: The region is bounded by the graphs of the equations y sin x, y = 0, x=0, and x-A. For the…

A: See this solution in below

Q: s) Use the properties of logarithms to find dx y = In 4] sin' (3x) 5* √√x² +1

A: We can solve the derivative of 'y' as below.

Q: √ grams/cm² and occupies Find the mass and the center of mass of the lamina with density 8(x, y)=-…

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Q: Use the given conditions to write an equation for the line in point-slope form and in…

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Q: Exercise (b) the centroid of the region bounded by the graphs of the equations Step 1 The region is…

A: Please see the answer below.

Q: nd the limit (if it exists). (If an answer does not exist, enter DNE.) 15 lim (x,y) → (0,0) x6y²

A: To  find the  limit.

Q: Describe the domain and range of the function. f(x, y) = In(xy-1) Dor

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Q: Find a set of parametric equations for the line tangent to the space curve at point P. (Enter your…

A: We need to find parametric equation.

Q: Evaluate the following limit. t sinj+ sin = 1+ k t -k π lim costi-5 1-x

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Q: For what values of a and b is the line 2x + y = b tangent to the curve y = ax² when x = 4?

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Q: 12. (2xy³ + 1) dx + (3x²y²-y¹) dy = 0

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Q: 7. f* (x² + 8) & dx CO (³ (x-1)

A: We have to solve integral

Q: dy Q5: Find for the following functions: dx (3) y = ex.sin² x In√x

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Q: The region bounded by x = 1 - y¹, x = 0 is rotate about the line y = -5. The volume of the resulting…

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Q: Consider the position function below. r(t) = (1-1²,3-5t4) for t≥ 0 a. Find the velocity and the…

A: Given;  r(t)=<1-t2,3-5t4).

Q: (A): Solve the following linear equations by Cramer's rule: x + y + 2z = 1 2x-y-z = 0 x +2y-z = 4

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Q: Given the space curve r(t) = (2 cos 2t, 2 sin 21, 31), find the unit vectors, 4 B

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Q: Find the point (if it exists) at which the following plane and curve intersect. z = 19; r(t) = (t,…

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Q: 01 √ √(x + y + -1 -1 (x+y+1)dxdy

A: This question is based on double integration.

Q: Q4: Answer two only: 2 1 -1 (A): I A=2 -2 Find AB and AC : - 1²/2 3 11 -2 -2 and 2 -- }

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Q: A cable is to be run from a power plant on one side of a river 900 meters wide to a factory on the…

A: pythagoras theorem = H2= B2 + S2 WHERE H= HYPOTENUSE B=BASE S =SIDE

Q: 2x B. Find the horizontal, vertical, and oblique asymptotes of the curve y = X+1

A: The given curve y=2xx+1

Q: Determine the area, in square units, bounded above by f(x) = -x^2 + 2x + 3 and g(x) = -x + 3 and…

A: Determine the area, in square units, bounded above by f(x) = -x^2 + 2x + 3 and g(x) = -x + 3 and…

Q: a. For the following function, find f'(a). b. Determine an equation of the line tangent to the graph…

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Q: 2 -1 -x²+8x-4 dx 1 x(x²+x-2)

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Q: 12. x² sin(x + y) = 1, -

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Q: (C): Solve the following equations:- (1) sin 2x + 2 sin² = 1

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Q: At least one of the answers above is NOT correct. The velocity function is v(t) -t² + 4t - 3 for a…

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Q: 28. For each of the following equations, find the most general function N(x, y) so that the equation…

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Q: Consider two matrices H-29-1-9 and = I = (a) Find a 2 × 2 matrix G satisfying HG = I if possible. If…

A: See this solution in below

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

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Q: Find the limit (if it exists). (If an answer does not exist, enter DNE.) xy - 25 lim (x, y) → (5, 5)…

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Q: 1. Suppose that C is the top-half of the circle (x-a)² + y² = a², (a > 0) oriented in the…

A: Please see the below picture for detailed solution.

Q: Find the distance between the pair of points (5.5,7.2) and (-0.5,4.2). If necessary, express the…

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

Q: In Problems 17-26, solve the initial value problem. dy y(0) = √3 dx y' = x³ (1-y), 1 dy 2 dx dy…

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Q: You go to the doctor and he gives you 15 milligrams of radioactive dye. After 16 minutes, 5…

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

Q: Find its length over the given interval. (Round your answer to four decimal places.) (No Response)

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Q: Q5: Find for the following functions: dx (1) In(x - y) = xy + y³ ; (4) y = x sinh 2x -cosh 2x (2) y…

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

Q: Given f(x) = 3x² Rn = 6, find a formula for Rn on the interval [2, 5]

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Q: 2. 01 S -1-1 (x+y+1)dxdy

A: The Solution is given below

Q: 2-x Evaluate: 44-3 dx A. In 4x² + 4x-31+ In 2+ 8. In 4x² + 4x-31+In+C c. In 4x² + 4x-31+In++C D. In…

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Q: Find the first partial derivatives of the following function. f(x,y)=x²-3xy-6y²

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Q: Find a differential operator that annihilates the given function. -2x+3x³+x²e5x

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Q: 2. What is the radius of the circle defined by x + y² - 6x + 4y - 1 = 0

A: x2 +y2 -6x +4y -1 = 0 here we have to find radius standrad form of circle is (x-a)2 + (y-b)2 = r2…

Q: Q2: Solve the following dx 7x³+14x+15 (x+3)(x+7) 1735 (1) J inte (2

A: Since you have asked multiple question, we will solve the first question for you. If you want any…