x² − 1 and y = 2x +2. y = x²

Q: Using the definition to proof a derivative formula f'(x) = lim₂ to f(x +h)-f(x) h

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Q: Find the surface area of revolution about the x-axis of y = 2x + 4 over the interval 2 ≤ x ≤ 3.

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Q: x 3 - x² 4) lim x→1 X-1

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Q: Consider the following. f(x) = (4x)² (a) Sketch a graph of the function f. 6 -8 -6 -4 -2 2 4 -2 2 N…

A: The given function

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A: The temperature at the time t is given by The room temperature

Q: T/4 (x² − 2x + sin x + cos2x) dx. - Compute π/4 Hint: Try to save as much time as possible by using…

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Q: Find the Riemann sum for f(x) = x² + 3x over the interval [0, 8] (see figure), where Xo = 0, X₁ = 1,…

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Q: For the utility function U = Qx0.13ay(1-0.13) and the budget 157 = 80x + 12Qy find the optimal…

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Q: Find the absolute maximum and absolute minimum values of f on the given interval. f(x) = x³ - 9x² +…

A: The given function is

Q: 83. {Use of Tech} Bank account A $200 investment in a savings account grows according to A(t) = 200e…

A: Given function: , where is measured in years., initial balancea. To find the balance of the account…

Q: 2 The function v(t) = (102t)2 gives the volume (in liters) of a tank of liquid after. it has been…

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Q: y = ((x+2) (x²+1))4

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Q: 91. Tangent lines Determine an equation of the line tangent to the graph of y = (0, -1). (x²-1)…

A: Given,

Q: Find all the local maxima, local minima, and saddle points of the function. f(x, y) = x² + xy +y² +…

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Q: During the first couple weeks of a new flu outbreak, the disease spreads according to the equation I…

A: Where I(t) is the number of infected people t days after the outbreak was first identified.

Q: Parameterize the intersection of the cone z = x2 + y2  and the plane z = 2x + 4y + 20. Find the…

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Q: Yes No 2. Is the following graph a function? 44 0 2

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Q: given that h(x) = log_3(2x+5) which the following is the dervivative h'(x)? a.1/(2x+5)ln3…

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Q: Consider the following function and closed interval. f(x)=√1-x, [-8, 1] Is f continuous on the…

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Q: Find equations of the tangent line and normal line to the given curve at the specified point. y =…

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Q: Determine the features of each function and sketch th function's graph. 1. f(x) x² - 49 a

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Q: To find the inverse of the function  f(x) = −5x − 6  we first replace  f(x)  with y. f(x)  =  −5x −…

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Q: This says cot(t)/et, not cos(t)/et. This was not correct. Could you please redo it?

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Q: The following table records some values of the functions f and g. Compute the exact value of: (f…

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Q: Find the arc length of the curve below on the given interval. 1 3 4x on [1,3] The length of the…

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Q: 3e" - 3x² +5, find f'(x).

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Q: Let f (x) = √37 – x. Compute f'(1) using the limit definition f'(1) = Find an equation of the…

A: Given,

Q: given that  x^2y^2+3x=y^3-1 use implicit differeniation to find the value of y'(1,2) a.3/2…

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Q: Let F(2) = 2, F'(2) = 3, H(2) = 4, H'(2) = 3. A. If G(z) = F(z)*H(z), then G'(2) = _______ B. If…

A: The Product Rule:The Quotient Rule:

Q: Differentiate the following function. = 5/- ( 16 + 5) 6 f'(t) = f(t) 25 6 + X

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Q: 7 4+x is one-to-one. (a) Find its inverse and check your answer. (b) Find the domain and the range…

A: Since you are asking multiple questions and question numbering is not given. We are answering only…

Q: The radius of a spherical balloon is measured to be 7 inches,

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Q: Find all critical values for f(x) = ( − 3x + 6)¹ (9x - 1)7. The critical values occur at x = (Enter…

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Q: Solve the following exponential equation. Use logarithms to express the solution in its exact form.…

A: To solve the following exponential equation.

Q: Use the graph below to find exact values of the indicated derivatives, or state that they do not…

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Q: Solve the given initial value problem xy²y = y³ - 5x³ y(1) = 5 y(x) =

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Q: Use the graph of the function f(x) shown below in order to determine all values of x in the interval…

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Q: O 4. For the function f(x) = x² – 3, Find f - 1/3-x² Ox-3 x² X 012-3 O 1-3 X (1)

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Q: Solve the initial value problem 2yy' + 4 = y² + 4x with y(0) = 7. a. To solve this, we should use…

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Q: The Eiffel Tower, in Paris France, is approximately 324 meters tall. A camera is 85 meters from the…

A: The figure

Q: 1) z= square root of 36- 9x^2  - 4 y^2 a) Draw a contour map using z: 0, I,2, 3, 4, 5, and 6. b)…

A: According to Bartleby guidelines only one question wiil be solved in multiple number of questions…

Q: Find the area of the surface generated when the given curve is revolved about the given axis.…

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Q: Consider the function. f(x)=x²-1 (a) Find the inverse function of f. f-¹(x)=√√x+1 (b) Graph f and…

A: The function is given byThe inverse function is

Q: After finding the partial fraction decomposition, 1. 7x²-24x19 (x² + 2)(x-9) -dx- da Notice you are…

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Q: Question 3.27) Suppose some differentiable function g(x) is given, and consider its reciprocal…

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Q: 2.(16)

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Q: Find the length of the curve a = 3y from y = 0 to y = 5. Round your answer to four decimal places.

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Q: ydx - (x + √ y² - x² X = 1 ㅠ C = 2 π/₂ с 1=6 or 90° ) dy = 0

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Q: -8 -6 -4 -2 8 6 4 2 CH + -6- -8 16 X

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Q: If r (x) find r'(x) x² + 8x - 9 e8x ||

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