dy What is if the function y = f(x) is implicitly defined by the equation 5x + 3y² = 4y + 2x² - 5? dx O4x5 6y 4 O4x - 1 by O4x49 by O 4x10 6y - 4

Q: 2 84 +81 √ s(3² +9)²0 ds

A: 2. Given Integral,∫s4 + 81ss2 + 92 ds

Q: A rotating light is located 20 feet from a wall. The light completes one rotation every 3 seconds.…

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Q: Find dy dr dy dr for y = ㅇ 2 5+ 6t dt.

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Q: Use linear approximation to estimate the amount of paint in cubic centimeters needed to apply a coat…

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Q: A B - f sin(1-x) (2 cos(1-x))4 dx (2-sin(1-x)5+C 5 (2-cos(1-x)5+C 5 O A OB O O D OE None of the…

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Q: x - 4y = 26²

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Q: Evaluate f √x² - 16 8 -dx

A: use the substitution method for solving the integral.

Q: 2. Evaluate J dx (cos³x sin³x)

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Q: Find a parametrization r(t,s) for the plane which contains the point P(-9, 7, 1) and the line…

A: Use plane concept

Q: a) [₁ 3]: Evaluate the integral 3x - 1 (x + 4)(2x - 1) / dx.

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: Find the gradient of the function at the given point. f(x, y) = 2x + 5y2 +6, (3, 1) Vf(3, 1) = 2i+…

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Q: x² 2 =dx 2 √4+x²

A: solution:-∫x24+x2dx=4∫x2441+x24dx=2∫x221+x22dxwe know thatcosh2t-sinh2t=1cosh2t=1+sinh2tusint…

Q: None of the other choices 7 The curve y = f(x) has the horizontal asymptote y = Select one: 00 1…

A: Given function:- f(x) = (x+35)/(x-5)  To find:- Horizontal asymptote of f(x)

Q: (z In z + 5)dz

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Q: Solve: x²y + xy' -n²y = 0 General Solution: y = C₁ *letters only a.x2n b. x-n a.xn b. x-2n c. x2n…

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Q: ate ſ- dx 4x²+1

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Q: Let f(x) = = √9 - x + 5. Determine f-¹(x) and the the domain of f¹(x). ƒ-¹(x) Domain of f-¹(x) = =…

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Q: Evaluate the integral using the following values. [³x³ dx = [²x dx x³ dx = 1,020, Lºx dx = 30, [³dx…

A: use the property of definite integral.

Q: integral of sin^6 y cos^6 y dy

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Q: 2. Find the limit algebraically by factoring the expression first. lim x-10

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Q: y-values 86 9* 7- 6 5 4- 3- 2 1 g(x) 1 2 3 x-values If f(x) = g(h(x)), then ƒ' (1) = Submit Question…

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Q: Problem 1 Let = (1,2,3), 7=(2, 2, -1), and =(4,0,-4). Find 27+ 4-w. Problem 2 Let = (1, 2) and =…

A: To express vector v as a linear combination of u and w.

Q: Find f" (x), given f(x) = sec x. O f" (x) = sec³ x tan x Of" (x) = sec a tanz Of" (x) = sec³ x + sec…

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Q: II. Answer the following questions. Write the complete solution set on a clean sheet of paper. -0-…

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Q: Use Lagrange multipliers to find the indicated extrema, assuming that x, y, and z are positive.…

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Q: Find the angle between the vectors in radians and in degrees. (Round your answer for part (a) to…

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Q: Given: S dx x+2x3

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Q: If the line y = 2 is the horizontal asymptote of the curve y = f(x), then /(2) is undefined. Select…

A: To find whether given statement is true or false.

Q: How did you found x and dx? I 'm lost in that part

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Q: For each polynomial function below, indicate the degree, the leading coefficient, and the end…

A: Given :1. fx=-3x4+2x3-8x2+112. fx=8x3+x2+7

Q: 2n Consider the series ₁ (-1)" (1 + 1)². Which of the following statements is true? n=1 The series…

A: A series ∑n=1∞ an is said to Converge Absolutely if the series ∑n=1∞ an converge and Conditionally…

Q: Let u = (4,-1,-1) and v= (2,-2, 2x + 1) be two vectors in space. Find alle ER such that u and v are…

A: The given vectors are u=4,x-1,-1 and v=2,-2,2x+1

Q: Use the limit definition of partial derivatives to find fx(x, y) and fy(x, y). f(x, y) = x2 − 5xy +…

A: We need to find partial derivative.

Q: Apply Newton's Method to f(x) and initial guess xo to calculate x₁, x2, x3. f(x) = x² - 6x + 4, xo =…

A: We have to find the x1, x2 , x3.

Q: Match the functions in Column A with their corresponding antiderivatives in Column A a. F(x) =…

A: Let's find antiderivative of function c.

Q: 2x² + 5x-1 x³ + x² 3 -dx x² – 2x

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Q: Use the First Fundamental Theorem of Calculus to find F"(x) if = [*_ sinh√/1 +ť² dt. F(x) =

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Q: a) b) exist f(x, y) = x²yesy 8x²+7y² Find the domain of the function f. Show that lim f(x, y) does…

A: According to question,Given Function,fx, y = x2 y e5y8x4 + 7y2

Q: What is the slope of the tangent line to the graph of x^2 - xy + 3y^2 -2x + 4y = 17 at (5,1)

A: We have to find the slope of the tangent line to the graph of x2 - xy + 3y2 - 2x + 4y = 17 at (5, 1)…

Q: Sx -1 xtan xdx

A: Solution of given question is written in below steps.

Q: Một chuyển động có phương trình: R(t) = (3 sin(3t))i + (3 cos(3t))j + 3tk. Một vector tiếp tuyến với…

A: Solution ) R(t) = (3sin(3t) i + 3cos(3t)j + 3t k Differentiate with respect to t  R'(t) = 3…

Q: 4. (x² + y²)dx − 2xydy = 0

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Q: Starting from the same point, Angela starts walking eastward at 6 m/min while Jessica starts running…

A: Please see the below picture for detailed solution.

Q: Which of the following is not true? d dx O d dx d d.x [sech a] = sech z tanh x dx [csch a]=-csch a…

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Q: Refer to the graph of function f below? What is the lim f(x)? x-2+ -10 -5 10 -5- 0 -5- -10 5 10

A: From the given graph, we have to find the value of limx→2+fx

Q: Solve -2-55ds a. Ob. 2-5s In 32 C. 25s 5 ln 2 d. 25s 2 In 5 2-5s 2 In 5 +C +C +C +C

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Q: Let z = √√√7xy +9y, and x = s³ and y = 1². Use Chain Rule to find dz when t = 1 and s = 2. ds

A: To find out the given partial derivative.

Q: Activity 6.1.3. In each of the following problems, our goal is to determine the area of the region…

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Q: Use trigonometric substitution to find or evaluate the integral. (Use C for the constant of…

A: To use trigonometric substitution to evaluate the integral. ∫x38+x2dx

Q: 3. (x² + y²)dx - 2xydy = 0 [Answer: x²-y² = cx]

A: Here we use the method of substitution y=vx then dydx=v+xdvdxsee below the calculation and…