puit 2 x³ = x²y sir (22²) X tije xp

Q: 1. Use a trig substitution to evaluate √9-x² 3√3/2 x² -dx.

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Q: The line L with symmetric equations point P(3,-3, -2). Select one: True False E || || ~ passes…

A: solution is given below

Q: 8. 2dx 3 3x

A: Given

Q: J 3. Use a partial fractions decomposition to evaluate x² + 2 (x - 1)(x-4) (x + 2) -dx.

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Q: Which of the following is a unit vector parallel to the vector? Select one: 81, 81 81 3.0,- /> None…

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Q: 1 - [5] and v₂ - [3]. = Let V₁ = [T(v₁)]B = ( be the matrix for T:R² R2 with respect to the basis B…

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Q: 5 1 3 √x² – 9 S dx

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Q: Let lim f(x)=9. Use the limit rules to find the following limit. X-8 lim √f(x) X-8

A: Given, limx→8f(x)=9

Q: Three men A, B, and C can do a piece of work in hours working together. Working alone. A can do the…

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Q: Find the vector, not with determinants, but by using properties of cross products. (j - k) x (k - i)

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Q: Q5: Find the area shared by the cardioid r = 1 + cose and the circle r = 3 cos 0. Graph the two…

A: Find the area shared by cardioid and the circle.graph the curve indicating these

Q: Use the Modified Euler method to approximate the solutions to each of the following initial-value…

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Q: a. A rectangular pen is built with one side against a barn. If 600 m of fencing are used for the…

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Q: 3x²³-2x² + 3kx + 18 by x- 6 to be equal to zero, k must be equal to.

A: Use division

Q: n=1 nvn Q5: Find the area shared by the cardioid r = 1 + cos 0 and the circle r = 3 cos 0. Graph the…

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Q: dx dt Please give an exact answer. dy = 2, dt If z³ = x² + y²₁ Provide your answer below: = 1, and…

A: Given problem:-

Q: 4 Suppose that sina and 90° < a < 180°. 5 a Find the exact values of sin and tan 2 गंत 2

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Q: Find an equation of the tangent line to the curve at the given point. y (4,16) (Express numbers in…

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Q: L[-te-at * u(−t)]:

A: Solution given below

Q: What rate of interest compounded annually is the same as the rate of interest of 8% compounded…

A: . What rate of interest compounded annually is the same as the rate of interest of 8% compounded…

Q: A construction worker pulls a five-meter plank up the side of a building under construction by means…

A: Solution

Q: Introduction to Calculus in Economics (continued): In the previous Problem Set question, we started…

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Q: 3. f- 8xdx

A: Solve the integration

Q: True or False: We have Select one: O True O False 0 8 √xdx = 12.

A: Let's solve given integral.

Q: Find the principal unit normal vector to the curve at the specified value of the parameter. (Give…

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Q: X Evaluate the integral [sincos dx. X sin cosdx= 5 C

A: The objective of the question is evaluate the indefinite integral.

Q: 7) The integral that finds the length of the curve y = 1+ In(sec(z)), 0≤ ≤ [² tan(x) da (C) csc (2)…

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Q: (a) Use the Midpoint Rule with n = 6 to approximate integral S³ dx 8 x-6 6 x+8

A: Multiple questions-"As per our guidelines we are suppose to answer only one question.Kindly re-post…

Q: Question 1 C(0, -3,-1). Consider the points A(2,-1,0), B(3, 0, -2), and (a) Find the equation of the…

A: Given

Q: Sketch the figures and show step by step solutions. Find the area lying above the x-axis and under…

A: We have to find area for given curves.

Q: If then, find f'(x). O f(x) = ²* √e² + 1 dt, 2√e +1 O None of them. O Ve +1+ C O √e™ +1 e

A: Use fundamental theorem of calculus for finding the derivative

Q: Use the graph to determine the limit. (If an answer does not exist, enter DNE.) y -2 (a) lim f(x) =…

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Q: Find all solutions of the equation in the interval [0, 2π). 2sin6θcos2θ - 2cos6θsin2θ = - √2 Write…

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Q: 2 ƒ 6x dx

A: Here we have to integrate the given problem

Q: Q1) Find the volume of the solid generated by revolving region bounded by the curve (x=√y) & the…

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Q: a. (f+g) (x)  the problem is f(x)=3x+4; g(x)= 2x-3

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Q: 8. The area of the triangle whose angles are 61 9'32", 34°14'46", and 84°35 42" is 680.60. The…

A: Area of triangle and sine rule are used.

Q: 5. Evaluate the improper integral S₁ 1 (x-3) 5/3 dx.

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Q: FR Find the absolute maximum and absolute minimum of the function f(x) Enter an exact answer. If…

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Q: 12. Use the Limit Comparison Test to determine whether k³ + 3k-1 2k5+5k2-6 converges.

A: The given series,    ∑k=1∞k3+3k-12k5+5k2-6

Q: Find dr/dtheta for theta^(-7/9) + r^(-7/9) = -5

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Q: S 3 7 39+x² dx

A: We need to solve integral.

Q: Find all solutions of the equation in the interval [0, 2π]. 2cosxcos3x-2sinxsin3x = √2 Write the…

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Q: \(\) The vectors u= 8> and v= are not orthogonal if and only if -136 Select one: O True O False

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Q: Find and for the functions: of Əx af ду bren 2. f(x, y) = x² − xy + y² X (x² + ² noitonut sil 4.…

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Q: 17. A cone was formed by rolling a thin sheet of metal in the form of a sector of a circle 72 cm in…

A: Firstly calculate length of the sector then height of the cone

Q: Find the area of the surface obtained by rotating the curve about the x-axis. Select the correct…

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Q: The value of the definite integral 3 [² (3x² S is (3x² - 2x + 4)dx

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Q: Solve the given initial-value problem. The DE is homogeneous. 3 xy² dy = y³ y -x - x³, y(1) = 3

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Q: 2. Use a trig substitution to evaluate S dx x³√²-16' x> 4.

A: