What is the difference between Rolle's Theorem and The Mean Value Theorem? Explain

Q: (b) Use Lagrange multipliers to find the maximum and minimum values of f subject to the given…

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Q: Set up, but do not evaluate, an integral for the length of the curve. xex⁹ Jo y = 0≤x≤5 dx

A: Given,  y=xex9, 0≤x≤5

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A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

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Q: Consider the function in the graph to the right. The function has a Select an answer of at x = The…

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Q: 4. Condense the log to a single log expression. a. 2 log y - 3 log x - 2 log 10 b. Ina+3 ln y

A: See this solution in below

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A: Polynomial function are continuous every where so using this we solve this problem

Q: Tutorial Exercise You are given the dollar value of a product in 2016 and the rate at which the…

A: topic- linear equations

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A: Given vector field F(x,y,z)=-k Here k is constant

Q: The graph below is the function f(x) -5-4-3-2-1 Find lim 24-1- Find lim 2 1 02 03- -4- 4 z→-1+ Find…

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Q: ƒx(2x−1) dx 2 √x³√x²+4 dx

A: for (1),     ∫ x2x-17dx=∫ 128x8-448x7+672x6-560x5+280x4-84x3+14x2-xdx=∫ 128x8dx-∫ 448x7dx+∫…

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Q: What is the gradient of f(x, y, z) = x³₂² + y³z +125z - 1 at P(5,5,-1) ? 75i + 75k -75i - 75k 75i -…

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Q: Find the derivative of the function using Chain Rule. (2x-6)-¹ (x²+3) h(x)=

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Q: Problem 2.7 Let Find the limit lim f(x). x 0 f(x) = x² if x is rational 0 if x is irrational.

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Q: 1 g(x)= {x-1 if x > 0 |x² −1 if x≤0

A: The given function, gx=1x-1if x>0x2-1if x≤0

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Q: Select the correct answer below: Consider the integral given above. Which of the following is true?…

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Q: Find the radius of convergence and interval of convergence of the series n=1 (x - 5) n n5n

A: Radius and interval of convergence

Q: MHF4U Name: Date 3. Erin travels north and south from Main Station. The distance, in km, of the…

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Q: Consider the following differential equation to be solved by variation of p y" + y = csc (x) ind the…

A: The solution is given below

Q: Show that y=sec^2x and y=tan^2x have the same derivative. What can you say about y=sec^2x-cot^2x?

A: Given y=sec²x and y=tan²x Now derivative dy/dx=d/dx( sec²x) =d/dx(1+tan²x) dy/dx= 2tanx sec²x   Now…

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A: Here is the solution:

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Q: Problem 2.3 Evaluate 2x² + 3x + 1 2x - 3 lim x-1 x².

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Q: Find the absolute maximum and minimum values of the following function on the given region R.…

A: To find the absolute maximum and minimum.

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A: Answering By observing the figure

Q: Find the Laplace Transform of f(t) = sin2tcost (A) B 2 s+55² +4 2 E s² +3 s+10s² +9. +(57+55²+4) Ⓒ4…

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Q: 1. (Use a calculator) Write down the equation used to evaluate the following expressions, and then…

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Q: Identify any extrema of the function by recognizing its given form or its form after completing the…

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Q: Evaluate the following limit. Use l'Hôpital's Rule when it is convenient and applicable. log 6X log…

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Q: Solve 4 sin x = 1.35,3.65 x = 3 for the four smallest positive solutions Give your answers accurate…

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A: Solve the given differentiation

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Q: Write the given differential equation in the form L(y) = g(x), where L is a linear differential…

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Q: 69. Tangent Line Find an equation of the line tangent to the circle x² + y² = 169 at the point (5,…

A: The tangent line to the circle x2+y2=169 at the point 5,12

Q: Solve the initial value problem: y(x) = 2x - 4y√x² + 1. dy dx = 0, y(0) = -4

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