5)(x + 5)(x − 5) Enter your answers as a comma-separated list.

Q: Compare dy and Ay for y = 4x+1 at x = -1 with Ax = dx = -0.02

A: y=4x4+1 at x=−1 with Δx=dx=−0.02

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Q: f (x) = 3x (sin x + cos x),

A: f(x)=3x(sin⁡x+cos⁡x)

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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: Since when can we take the natural logarithm of a negative number?

A: We have to tell when we can take the natural logarithm of a negative number

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A: The revenue function is given by  dollars where x is the number of unitssold and  is the unit price.…

Q: Let f(x) = √x² + 8x x-1 -1 3 jump discontinuities if x = 1 Find and describe each discontinuity of…

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Q: Step 1: Step 2: Step 3: Step 4: Step 5: -sec x = dx = d1 dx sin x sin x(1) 1 (cos x) sin² x sin x -…

A: given the proof of the derivative sec(x)find the incorrect statement.

Q: -4-3 -4 0-3 -2 Select all the points at which the graph above is not differentiable -1 00 01 2 4 3 4…

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Q: Evaluate the trigonometric limit. sin²(x) lim X→0 9x²

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Q: A Norman window is constructed by adjoining a semicircle to the top of an ordinary rectangular…

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Q: Complete the table by identifying u and du for the integral. [r(g(x))g(x) dx [ (tan(x))² (sec(x))²…

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Q: 3. Two functions are inverses when f(g(x)) = Determine if f(x) = In(x - 5) your work and explain…

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Q: Find the given derivative by finding the first few derivatives and observing the pattern that…

A: x

Q: Use the four-step definition of the derivative to find f'(x) if ƒ (x) = 3x³ + 1. f (x + h) = ƒ (x +…

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Q: (a) Find the function f such that £[ƒ(1)] = f(t) = (b) Find the function g such that L[g(t)] g(t) =…

A: (a) To find the function  such that (b) To find the function  such that

Q: Find the differential dy of the given function. (Use "dx" for dx.) 6 y= 8√x + √x X dy =

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Q: -7 -6 -5 -4 -3 -2 -7 1 --+ -2- -3 --5- -6- -7 2 4 Over which interval of a values is f'> 0? ○ (2,00)…

A: The derivative of f(x) represents by the symbol of. .Over which interval of x values is f'(x)…

Q: The size P of a certain insect population at time t (in days) obeys the function P(t) = 4000.09 (a)…

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Q: At what point on the curve y = √3+ 2x is the tangent line perpendicular to the line 12x + 4y = 1? -…

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Q: Let R be the region bounded by the following curves. Use the shell method to find the volume of the…

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Q: Find two positive numbers whose product is 186 and whose sum is a minimum. Select one: a. O b. O c.…

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Q: Find the indefinite integral. [csc² (3) dx CSC Step 1 Observe that 1/3 Multiply and divide the given…

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Q: Find the indefinite integral. (Remember to use absolute values where appropriate. Use C for the…

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Q: Find the tangent line to y=(x+1)^(x+3) at point (1,16)

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Q: 5. (a) (b) If 5+3x g(x) = x-3 What is the domain of g(x)? Verify (with a sketch and/or short…

A: The given function is

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

Q: Find one function from the family that constitutes the indefinite integral for. (2z+sec(z) tan(1))dz…

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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: 3 k -5 -4 -3 -2 -1 44 2 3 4 5+ Find lim f(x) x-2- Find lim f(x) x+2+ Find f(2) Find lim f(x) x-2 2 3…

A: Note:-Since you asked multiple questions according to our policy we can solve only first questions…

Q: np (1/A + ¹^),"] =

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Q: Solve the following logarithmic equation. Express irrational solutions in exact form and as a…

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Q: Find the slope of the curve to: 4 where x=2 - 2x³ 3x² + 5x + 9 at the point

A: Let,

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

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Q: please asnwer it

A: We solve the given problem by using the given table of values

Q: 6. (x² + y²) dx + xy dy - x = 1 C= Ja y = 2 or 9 O= √3

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Q: Find the derivative of the function. G(x) = 6C/x G'(x) = || X

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Q: 不 Suppose that you decide to buy a car for $50,000, including taxes and license fees. You saved…

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Q: Find the critical numbers of the function. (Enter your answers as a integer values. If an answer…

A: To find the critical numbers of the following function.

Q: 3. You want to create a box with an open top by cutting squares with sides of length x from each…

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: ark e ation (1.0., Find the exact value of each x = [0, 2π) for which cos²(x) = sin(2x). ald

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Q: If F(x)= = O F(0) F(3) O F(6) F(9) O F(12) X f(t) dt, where f is the function whose graph is given,…

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Q: The graph below is the function f(x) 3 2 1 -5 -4 -3 -2 -1 1 2 3 4 5 Determine which one of the…

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Q: 106. Projectile A model rocket will be launched from a hill 80 feet above sea level. The launch site…

A: Given Function is as follows Where s is the rocket's distance above sea level at any time t…

Q: Determine whether Rolle's Theorem can be applied to f on the closed interval [a, b]. (Select all…

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