2 2 Find the area of the region between the curves y = 4x² - 4 and y=-3x +3 from x= -1 to x= 1.

Q: If x³ + y³ = 2, find the value of d²y dx² at the point (1,1). The value of at the point (1,1) is d²y…

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Q: 2 x(x²-1) dx x²+1

A: To evaluate the following integral.

Q: Evaluate the following limits algebraically. 1. lim x---> -3         {-2x + 4; x -3 2. lim x--->…

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Q: Match the graph of the function on the left with the derivative on the r 1. a. 2. 3. 4. -10 10 -10…

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

Q: •3 L₂(³- -2 - (3 - x) dx

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Q: Consider the triangle below. Click on the picture to see it more clearly. If a = 8, the angle C =…

A: The given triangle has measures .The aim is to find the remaining meausres .

Q: Use the Ratio Test to determine the convergence of the following series. 8 Σ(-1)n+1 n=1 5 nn n!

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Q: A tall pipe is 30 feet tall. A person with a height of 6 feet walks away from the pipe along a…

A: The objective of this question is to find the rate at which the person is moving away from the pipe.…

Q: Find the indefinite integral and check the results by differentiation S(4x²+ + 3)²dx

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Q: Consider the triangle below. Click on the picture to see it more clearly. If c = 4, the angle C =…

A: Given,

Q: Let A and B be the following matrices. Perform the following operations: -6A A+ 3B: 2A + 4B A 9. 5…

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Q: Thank you but I believe you are missing the square in the question the question is (4x^2 +3)^2 dx

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Q: Find the domain of f(x). ƒ(x) = √6x + 6

A: Given that a function of f(x) and we find the domain of the f(x).

Q: (c) (d) (e) (f) YA -2 0 2 y = f(x) creasing? 4 6 8 x - [*11)dt g(x) = ) Does g(x) have any critical…

A: The graph of the function f(x) is shown as,It also given that,Note:"Since you have posted a question…

Q: 3. (a) (b) YA -2- X 0 g(x) Let f be the function whose graph is given below. X g'(x) 0 2 Complete…

A: As per our guidelines, we can solve first one as your both parts are not small. Please repost the…

Q: Solve the following problem and show your complete solutions. 3. Find the area bounded by y = x³ ; y…

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Q: ∞ 4. Apply the Ratio Test to the series [ the limit lim n→∞ (3n)! n=12¹ (n!)3 an+1 an and find

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Q: g. y = tan x h. y = t+√√2t+√1-5t

A: To find the derivative of the following functions.

Q: dr Evaluate the integral: 2² (A) Which trig substitution is correct for this integral? Or=2 sin(0)…

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Q: Solve the rational inequality x²-9 x² - 49 -≤0.

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Q: Express your answer as a polynomial in standard form. f(x) = 2x² 5x – 12 - g(x) -2x + 2 = Find:…

A: f(x)=2x2-5x-12g(x)=-2x+2

Q: TU Find the speed for c(t) = (3 sin(5t), 8 cos(5t)) at time t = FR

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Q: (a) Using the figure, estimate [²1x f(x) dx ≈ fos f(x) dx. (b) If F is an antiderivative of the same…

A: Using the given figure, estimates

Q: Find the difference quotient of f; that is, find f(x) = 3x² - 4x + 4 f(x+h)-f(x) h h#0, for the…

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Q: Given the parametric equations Compute the derivative dy/dx as a function of t. -t³, y = 6-3t x =…

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Q: f(x)=x^[8/3]-4x^[2/3] determin the: a) roots b) Domain c) intervals for which the function is…

A: The given function is To find:-rootsdomian intervals for which the function is positive and negative…

Q: 1. A rock is thrown upward with a velocity of 20 meters per second. Its height, in meters, t seconds…

A: According to our guidelines, we can answer only first question (due to multiple questions). Kindly…

Q: Suppose you are given a triangle with Then a = , and b= 9. Enter your answers with at least 3 digits…

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Q: Find the slope of the line tangent to the polar curve at the given point. 7x (-3- r= 6 sin 0; Select…

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Q: Find the general solution for the following linear homogeneous recurrence relations: (a) an = 2an-1…

A: The objective of the question is to find the general solution for the given linear homogeneous…

Q: If f(x) = 15 to dt then f'(x) =

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

Q: Find y'. y = y'' = 16 tan (4x + 1)

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Q: Find ∫∫R(5x+2y)dA where R is the parallelogram with vertices (0,0), (-2,-4), (1,3), and (-1,-1).…

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Q: Find an antiderivative of the function p(t) = t³ - 2 I t.

A: p(t)=t5−t42−t

Q: 1 if x > 0 - 1 if x < 0 c. Find the domain and range of f. Let f(x) = .a. Find f(-16) and f(14). b.…

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Q: (a) Find expressed as a function of t for the given the parametric equations: dy dx dy dx d²y dx²…

A: Given: To Find: (a) To find .(b) To find .

Q: 9. Let f(x) = sinx, g(x) = cos x. The functions f and g, considered on the interval 0, π], are…

A: Given that the function are

Q: c. Which of the following expressions is equivalent to ln (10x²) for all values of x, including x <…

A: The given logarithm expression .The aim is to find the equivalent expression.

Q: Find the sum of the series: n=3 3n+2 57-3

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Q: e area of the blue region. It is the area under the curve. y 10 8 6 4 2 y = 3x+1 y = 6-x X 1 2 3 4 5…

A: The graph of the function is given.The aim is to find the area of the blue region.

Q: Find the integral. Use C for the constant of integration. | cv² (y² + 3)² dy

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Q: A firm's marginal cost function is MC(q) = 5q¹ + 4q + 10. Find the total cost function if the fixed…

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Q: g. y = ex² +1 h. y = esinx y = ln(sin x) i. j. y = ln² + e√x X 6. L

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Q: Gilbert Strang video 'Min, Max and Second Derivative,

A: The objective of the question is to understand the concepts of minimum, maximum and second…

Q: A particle moves in a straight line with its velocity (in m/s) given by v(t) = -1/-1, t² 2 ≤ t ≤ 2.…

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Q: Suppose Find the product AB. AB= Find the product BA. BA= -9 - [3] and 9 A = and B = help (matrices)…

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Q: 6. Determine whether the following series converges or diverges. 1 Σ tan (√) n=1

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Q: Find the indefinite integral. J (100e5x) dx = +C

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Q: Air freshener A has a mass of 42 grams when opened and its mass decreases by 4.2 grams each day. Air…

A: The mass of the Freshener a=42 gmIf opened in the air decreases to  4.2% per dayThis means the decay…

Q: Let f(x) = x if x ≥ 5 5 if x < 5 a. Find f(1), f(5), and f(7). b. Sketch the graph of y = f(x).

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