Find the exact length of the curve. x = et t₁ y = 4et/2, 0≤t≤4

Q: graph f(x - 4) - 5 below

A: given graph of f(x)graph f(x - 4) - 5

Q: Use the nth-term test for divergence to show that the series is divergent, or state that the test is…

A: Consider the series

Q: 3. Solve the following homogeneous differential equations a. y"-4y'+4y=0

A: To solve the following homogeneous differential equation.Note: Since the student has posted multiple…

Q: Simplify the expression. (16x 16x²x) (- 8z4 28x²z³ 14y²

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Q: MY NOTES Perform the indicated operation and simplify if possible by combining like terms. Write the…

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Q: 5. A = [ 2 3 -1 21]. B. = -4 2 13

A: A is matrix and B is also matrix

Q: Find the local minimum of the function f(x), which is given in the graph below. -6 -5 + -3 -2 5 3 2…

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Q: For the function x f(x) = x-5 find the derivative of the inverse function f-¹ at the point x = 2.…

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Q: Given the demand function D(p) = √100 - 3p, Find the Elasticity of Demand at a price of $17 At this…

A: Elasticity,E(p) = Where D(p) is the demand function.

Q: If f(x) is continuous and ſ² f(x)dx = 225.1, what is b [. Round your answer to two decimal places.…

A: If  is continous and , to find .

Q: Differentiate. y = In (4x² − 9x + 1)

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Q: For the given parametric equations, find the points (x, y) corresponding to the parameter values t =…

A: Given,

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Q: The velocity of a particle moving along a line is a function of time given by 79 t² + 12t + 27 v(t)…

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Q: Classify the equation as a contradiction, a conditional equation, or an identity. 3[x2(x 3)] 3 = -3x…

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Q: The demand function for a certain product is given by D(p) = O A. D'(p) = 2,790 +48p (12p+15)² -…

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Q: Ib 1b State the E, & definition of the limit, then use it prove lim (3x − 1) = 5. x 2 Note: express…

A: To state the definition of the limit, then by using it to prove .Note: Since the student has posted…

Q: Find a particular solution Y of the differential equation 8y" + 2y' + 3y = sin²(x). using the Method…

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Q: Determine the derivative of the following function with respect to a: 75 +¹rsin (r) 4,

A: f(x)=π5+π4xsin⁡(x)

Q: For the function f(x) = 2x³ find the derivative of the inverse function f-¹ at the point x = 345.…

A: we are given the function and we need to find out the derivative of the inverse function at the…

Q: Express the given equation into the exponential form and then solve for x. log2 (5x - 10) = 3

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Q: Find the logarithm using the change of base formula. log 717 log717= (Round to four decimal places…

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Q: Find the vertex form of the function. Then find each of the following. (A) Intercepts (B) Vertex (C)…

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Q: Find the GCF of the expressions. 12x¹4yz6, 24x6z8, and 4xyz7

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Q: 37. If the region shown in the figure is rotated about the y-axis to form a solid, use Simpson's…

A: The Simpson's rule formula The graph

Q: y-values 8 7 6 3 2 1 If f(x) f'(2) = - g(x) h(x) ' g(x) 2 3 x-values then Ou y-values 5 4 1 h(x) 2 3…

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Q: Use the factor theorem to determine if the given binomial is a factor of f(x). f(x)=x²-2x³ +5x²…

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Q: The limit below represents the derivative of a function f(x) at a point zo. Give the equation for…

A: The  limit below represents the derivative of a function  at a point .To give the equation for  and…

Q: Solve for x. 4x = 26 Select the correct choice below and, if necessary, fill in the answer box to…

A: The given equation is

Q: y = esinx. 3 tan x

A: We need to find out the derivative of the given function.

Q: Find and simplify the derivative of the following function. f(x) = 25xe x -X The derivative of f(x)…

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Q: Let f(x) = lnx Since f(x) rs for x>0 Continuous Since (1,1,04), by mean such that on [1, 1.04] and…

A: The given function is

Q: Determine the direction in which the graph of the following parabola opens. f(x)=−5x^2+x+4 Up Down…

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Q: Find the local minimum of the function f(x), which is given in the graph below. -6 -5 -4 -3 -2 -1 6…

A: To find the local minimum of the function , which is given in the graph below.

Q: Answer the following questions for the function f(x)=x√x² + 16 defined on the interval -6 ≤ x ≤ 6.…

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Q: Find all relative extrema of the function. Use the second derivative test where applicable. (If an…

A: The given function is

Q: Consider the function f(x) = 2x³ − 6x² - 18x + 9 on the interval [-2, 4]. What is the absolute…

A: f(x)=2x3−6x2−18x+9

Q: Sketch the region in the plane consisting of points whose polar coordinates satisfy the given…

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Q: 8. A = [₁ 2].B= 0 3 -5 1 2 4 3 -1 6 045 0

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Q: 1. Consider the second-order homogeneous linear differential equation, y"+p(x)y'+q(x)y=0 (a) Let y,…

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Q: 6 Use the following methods to estimate fdx: X 2 a. Left endpoint approximation L 3 b. Trapezoidal…

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Q: The edge of a cube was found to be 30 cm with a possible error in measurement of 0.4 cm. Use…

A: The edge of a cube was found to be 15 cm with a possible error in measurement of 0.1 cm.By using…

Q: 2. A = 77₁b = 3 25 -1 3

A: Given, .If A=, than .

Q: O line dogecan

A: Given the polar equation we have to find choose the correct option

Q: Solve the following In(x) Ⓒdx ((*√x) In (²))

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

Q: Compute the curl and divergence of the vector field F(x, y, z) = (1, 2², 2yz). 1+x² Is F…

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Q: 2. Find a function f such that f'(x)= xf(x)-x and f(0) = 2.

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Q: Find the eigenvalue associated with the eigenvector A = Number -[-28] = of the matrix A=

A: The given eigenvector is The given matrix is

Q: Let g(t)= t - sin (t). (a) Plot the graph of g.

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Q: Application of De A tank contains 1,200 liters of fresh water. Brine containing 0.2 kg/liter of salt…

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