Find the equation of the line tangent to the graph of x³ + y³ = − 3xy - 80 at (-4,-4). The equation of the tangent line is y =

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A: A set is closed iff its complement is open. So a set is not open iff its complement is not closed.

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Q: Find a, and d for each arithmetic series. See Example 8. wwwww 62. S31 61, S20 1090, 920 = 102 64.…

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A: Use the formula for the average rate of change of a function.

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A: We have to find the area by right endpoint rule.

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A: After applying ratio test we have to tell about convergence of series.

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

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A: Given ,  A cat darts around a room chasing a ball. the cat first travels along the vector &lt; -1, 2…

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A: This question can be solved using the concept of solution of trigonometric equations.

Q: 37-38 Evaluate the integrals by completing the square and ap- plying appropriate formulas from…

A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions…

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Q: Demand for The Secret Loves of John O, a romance novel by Margó Dufón that flopped after two weeks…

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Q: Find the average value of the function F(x,y) = x³ex++ the region 05x≤2 and 0≤ y ≤ x². over

A: Given problem:- Find the average value of the function F(x, y) = x3 exy +(y/x)2 +(y/x)  the region 0…

Q: Q3: Find gradient of the following function at given point 1) f(x,y)=y-x, (2.1) 2) g(x,y)=y-x²,…

A: As per as our guidelines i am supposed to answer only three part of this question.

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Q: XZ 3) cos(x)-x²y + e + yz = 4, P (0,1,2)

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Q: 7. The height (metres) of a bouncing ball can be modeled by the function h(t) = 2sin4t + 2 over the…

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Q: Write an equation of the form y=a sin bx or y=a cos bx to describe the graph below. 0 3 2- AA. - 2n…

A: Write an equation of the form y = a sin bx or y= a cos bx to describe the graph below.

Q: X 1.-+ J y = 37ab2, y" X

A: Let's find.

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A: In this question we have to find limit of the function and check discontinuity.

Q: h(x) = f(gx)) calculate the following derivatives using the table a) h'(3) b) h'(2)

A: Given

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Q: 5. Use spherical coordinates to evaluate [[[ (x² + y² + 2²) ² dv D where D is the solid hemisphere…

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Q: . find f'(x) if f(x) equals the given expression. a. log (x4 + 3x2 + 1) b. log (3x2 + 2)5

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Q: Question 7 Find the area enclosed by the curves y=2x², y=2√x,x= — and x = 1 A 45/51 B) 59/76 49/96…

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Q: Previous Problem Problem List Next Problem Solve the following equation in the interval [0, 2 π].…

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Q: √xdx (1+x)³

A: Follow the procedure given below.

Q: f(x) = 2√3 x, g(x) = 2x − 4, y h(x) = 3x3. Encuentra el valor de cada expresio ́n. (a) (f ◦ g)(7),…

A: Given query is to find the value of the indicated function.

Q: i mylliplied to ma constraints. ng range, and x minimize the function of lagi zo constraigher y of…

A: Use Lagrange theorem

Q: af du (a) f(x, y) = sin-¹ (b) f(x, y): = x+y (c) f(x, y) = In ( t = 1 and u = 2 af and where Ət 2.…

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Q: lim- LIMIT VALUE: z²-16

A: As per guidelines if multiple questions are posted we are allowed to solve only 1st question..…

Q: 3 sin (29) 1. Consider the polar equation (a) Complete the tables for the given values of Round to…

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A: solution

Q: Find the differential dy of the function y Provide your answer below: dy= dx = 5x4 + 4 4x + 3

A: y=5x4+44x+3Differentiate w.r.t xdydx=4x+320x3-5x4+444x+32

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Q: f(x) = t^2(t - 7)^1/3.   Find all critiacal points and all relative maxima

A: Solution is given below:

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A: we have to find potential function.

Q: Find the derivatives of the following function (a) y=4²+2 2x+3 2³+2+1

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Q: Consider the equation (a-y-2)dx + (x + y - 4)dy = 0. (a) Make a transform to reduce the equation to…

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