Show that x²y + x² lim (x,y) →(0,-1) 24+ (y + 1)² does not exist.

Q: Determine whether the function is continuous and differentiable at x = 2. If a y-value is undefined…

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Q: Solve the initial value problem fort> -1 with y(0) = 3. y = dy dt 9(t+1)- - 7y= 14t,

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Q: shows function values of g(x) = ax² + 5x² = 8x + c. Use the equation of g(x) and the table to answer…

A: We have to find the sign of the leading coefficient in the 14 questionFind value of c in 15…

Q: A lamina with constant density o(x, y) = 4 occupies the region under the curve y = sin(лx/5) from x…

A: As we knowThe given curve  from  to

Q: Let f(x, y) = 5e6x sin(4y) of дх of ду = =

A: Given

Q: (b) e-3x dx

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Q: Determine the open intervals on which the function is increasing, decreasing, or constant. (Enter…

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Q: Find Dxy. 6) y = tanh² 7x

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Q: Use a tangent plane to approximate the value of the following function at the point (4.1, 4.9). Give…

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Q: Solve zy' = 4y - 7c, y(1) = 4. (a) Identify the integrating factor, a(z). a(z) = [ (b) Find the…

A: To solve the following initial value problem.

Q: Find u. v, uu, ||u||², (u · v)v, and u. (2v). u = 5i + j - 9k, v=i-4j + 5k (a) -44 (b) 107 (c) 107…

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Q: - Solve each equation or inequality algebraically. (a) p²-2p - 15 = 0 (b) x² + 4 = 19 (c) v² -…

A: Here we will solve it by factorization and using Dharacharya formula

Q: Decide from the graph whether a limit exists. If a limit exists, find its value. lim F(X) X→-4 www…

A: Here we will find the limit from the graph using the concept of left hand and right hand limit

Q: (1.1.39) Find the domain of the function F(p) = √2-√P.

A: given function is

Q: If f(x) = 2x²-3x+8, find f'(-1). f'(-1)= (Simplify your answer.)

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Q: Let s(t) = 8t³ — 24t² function for the velocity. 241² - 48-72 o(t) - 192t be the equation of motion…

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Q: Factor 1296x4-14641 and solve the equation 1296x4-14641 = 0

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Q: Find the differential of the function f(x, y) = 5x² – 5xy + 6y² at the point (5,8) using Ax = -0.3…

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Q: Find the length of the spiral r =02, 0≤0≤ √21. The length of the spiral is

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Q: please asnwer all the questions please

A: Since you have asked multiple questions in a single request. As per guideline I will be answering…

Q: Find the nominal interest rate for each of the following investments. Round the answers to two…

A: Given that :Table for Principal amount, compounding frequency and term is provided.To find : Nominal…

Q: Step 1 Let D be the distance between the origin and a moving point on the graph of y = sin 3x. D =…

A: y=sin(3x)dx/dt = 7

Q: Determine whether the series converges, and if it does, find the sum: 1 7. Σ=0 n+1 n+2

A: Solution-

Q: Convert the point (x, y, z) = (5,−1, −1) to spherical coordinates. Give answers as positive values,…

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Q: Use the graph of each function to estimate intervals on which the function is increasing,…

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Q: Find the area of the shaded region. + -6 -5 -4 -3 -2 square units 8+ y y = x³ · y = x + 6 4 X

A: Consider the graph

Q: You are given the differential equation Sayy' = -5+y², satisfying y(16) = -5. The solution can be…

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Q: Find the area of the region under the graph of f on [a, b]. f(x) = e-x/2; [-1, 6]

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Q: If ƒ(x) = 2x² − 4x + 6, find ƒ'(−2). −12x - 2 incomplete. X syntax Use this to find the equation of…

A: Rule of derivative.

Q: Graph the function. What is the period of the function? COS л π The period of cos (Type an exact…

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Q: Give each derivative. Do not use the limit definition. (Practice these until you can answer them…

A: given different function to find the derivatives

Q: Solve these initial value problems; the differential equation is separable in each of them. (a) (b)…

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Q: Use for question #1-8 NJ -2 -3 5

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Q: Find the intercepts of the plane 2x+6y3z- 12 = 0

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Q: Consider the following function. Function f(x) = 8x4 - 6x³ - 101x2 - 21x + 36 (a) Verify the given…

A: and factors(x+3) , (x-4)

Q: 7) lim X-7 (x-7)2 using the precise definition of limits.

A: Given :- -1 /(x-7)2We can directly put the value of limit as it already simplified.

Q: im ²/1 In (4+¹) is Af'(4) where f(x) = ln x (B) (4) where f(x) = (In x)/x (C) f'(0) where f(x) = ln…

A: To find:-

Q: Find the solution of the differential equation satisfying y(2) = 1. y = (Do not enter decimals in…

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Q: Evaluate the indefinite integral. fxcos 10x dx

A: To evaluate the following indefinite integral.

Q: Convert the point (p, 0, 4) = (1 "" or decimals to at least one decimal place. 11п 2п " 6 3 (x, y,…

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Q: Given that you have a fixed 40-meter-long meters long and fencing, the rectangular pen should be…

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Q: 6. Determine any possible functions f and g, where f g , but such that f is the derivative of g, and…

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Q: Write an equation that "works" for the polynomial shown at the right (factored form is fine): 8

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Q: Compute the second-order partial derivatives of f(x,y) =e4x2+6y2 82f 8x2 (x, y) 82f ?х у 82f дудх…

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Q: SOLVE: Y" - Sy=0 -

A: given differential equation

Q: Determine whether the Mean Value theorem can be applied to f on the closed interval [a, b]. (Select…

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Q: Prove the formula, where m and n are positive integers. sin(x) sin(x) dx = [0 men (xif m=n Let m and…

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Q: 2. The drawing to the right shows the graph of y = f(x). Use the information in the graph to…

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Q: Find the derivative using the product and or quotient rule  h(x)=(x-1)(x^3+x^2+x+1)

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Q: (Text Suppose y = f(x) graphed in the figure below represents the cost of manufacturing x kilograms…

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