Find f such that f'(x) = f(4) = 44.

Q: Consider the following function. y = 6x In(x) Find y'(x). Y'(x) = 6 + 6 in (x) Find y"(x). y"(x) = 6…

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Q: 1. a₁ = 2n-1 an 2. An= 5n - 3 an 3. a = n(-2)

A: Note:- according to the company policy we can attempt only one question so please upload the next…

Q: If {an} and {bn} are divergent, then {anbn} is divergent.

A: Given; (an) and (bn) are divergent.

Q: Calculate the indicated Riemann sum S3 for the function f(x) = x² - 8x - 48. Partition [0,6] into…

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Q: Find all points of inflection and discuss the concavity of f(x) = x^2 *(3x - 5)^1/3

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Q: Analyze and sketch a graph of the function. Find any intercepts, relative extrema, points of…

A: Given function is x9 - 9x

Q: Evaluate the line integral C: y² = 27x from (27, 27) to (0,0). NOTE: Enter the exact answer. 6-₂…

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Q: Question Use an appropriate linear approximation to estimate √48.95. (Round your answer to three…

A: Given data÷ Use linear approximation to estimate 48.95 Since 49=7 is easy to compute and 49 is close…

Q: Find div F and curl F if F(x, y, z) = 7evi-4 cos yj+ 10 sin² z k. div F= curl F

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Q: Answer true or false. The function f(t) = (et)10 is of exponential order. O True O False

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Q: Sketch a graph of the polar equation. 3 2+3 cos 0

A: The given polar curve r=32cosθ

Q: ← Screenshot (1913).png + New 0 My Drive Computers Shared with me Recent Starred Trash Storage 7.8…

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Q: dN dt The rate of change of N is proportional to N. (Use k for the propor kN N(t) = Cekt Evaluate…

A: We are asked to find the value of N when t = 3

Q: Find curl(5zi + 6xj + 3yk). curl (5zi + 6xj + 3yk) = (i )k )i + ( i )j + (i

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Q: Describe the graph of the equation. r = 18 sin 3ti - 18 cos 3t j O It is a circle of radius 18 in…

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Q: 2. Reparametrize R using the arc length as parameter from the point P(-1, √37,5).

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Q: Which of the following is the equation of the ellipse with a vertical major axis, center at (1, -3),…

A: Here we have to find the equation of an ellipse.

Q: A trader buy's 80 mangoes. she finds that 8 are bad and a further 22 are unripe ,show on a pie chart…

A: Given data:- Total number of mangoes = 80 Bad mangoes = 8 Unripe mangoes = 22

Q: Find ▼ × (V × F) if F(x, y, z) = 10xyj + 5xyz k. ▼ × (▼ × F) : =

A: To find ∇×∇×F if Fx, y, z=10xy j+5xyz k.

Q: Use the Alternating Series Remainder Theorem to determine the smallest number of terms required to…

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Q: 8. Write the equation of the hyperbola with vertices (5,-2) and (-5, -2), and foci (6, -2) and (-6,…

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Q: 4 If cos(0) and is in the 4th quadrant, find sin(0) 5 Give exact values. No decimals allowed! If the…

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Q: Evaluate the integral [(4x + 15y)da + (6x − y)dy along the parabolic arc y = x² from (0,0) to (1,1).…

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Q: provide

A: Please refer to the image below

Q: Evaluate the line integral using Green's Theorem and check the answer by evaluating it directly. $43…

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Q: Use Definition 7.1.1. Definition 7.1.1 Laplace Transform Let f be a function defined for t≥ 0. Then…

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Q: Find f such that f′(x)=8x​, ​ f(4​)=47.

A: Given, f′(x)=8x​,​ f(4​)=47.

Q: Give the General Solution of the following Differential Equation 1. (ex-y)(e²y + 1)¹/2 dx = dy

A: We have to find the general solution of differential equation

Q: Find the general solution of the given differential equation. dy 2 +6y=3 dx x(x) = 2 Give the…

A: To find the general solution of the given differential equation.2dydx+6y=3To give the largest…

Q: A moon's elliptical orbit around a planet is modeled by the equation 225x² +576y² = 176,400, where…

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Q: What is the gradient of f(x, y, z) = x³z2 + y³z +125z - 1 at P(5,5,-1) ?

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Q: Farmer Jones, and his wife, Dr. Jones, decide to build a fence in their field, to keep the sheep…

A: Topic - Area between curves

Q: Question Find the equation of the tangent line to the curve defined by the equations * = exact…

A: Here we have to find the equation of tangent line.

Q: Let y = 3x². Find the change in y, Ay Ay when x when x = = 5 and Ax = 0.3 Find the differential dy…

A: Given f(x)= 3x2

Q: Calculate the indicated Riemann sum S3 for the function f(x)=x²-9x-52. Partition [0,6] into three…

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Q: Equations of the form r=a sin (m0) or r= a cos (m0), where a is a real number and m is a positive…

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Q: Use an appropriate linear approximation to estimate (Round your answer to three decimal places.)…

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Q: Calculate the indicated Riemann sum Sn​, for the function ​f(x)=x2−9x−4. Partition [1,7] into six…

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Q: Describe the graph of the equation. r = 18 sin 27 i+ 18 cos 2t j It is a circle of radius 18 in the…

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Q: If (x_n) is a sequence in R that converges to L ER then which of the following is (are) not true?…

A: Given is sequence (xn) is convergent and converges to L.

Q: The function f(x)=x^{2/3} does not satisfy the conditions of the Mean Value Theorem on [-8,8]…

A: To find out the correct option.

Q: b) sin (2x) tan (5x) Find lim- (Can't use L'Hospital's Rule)

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Q: license plate must contain 3 numerical digits followed by 2 letters. If the first digit cannot be 0…

A: We will find the required.

Q: Question 8 of 25 > Find the derivative of the function f. 3 √x f(x) = O At

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Q: At time t = 0, a bacterial culture weighs 4 grams. Three hours later, the culture weighs 8 grams.…

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Q: Find the derivative of the function. f(x) = arcsec(4x) f'(x) = 4 4π√ 16x² - 1 :or 1 xV 16x²-1 2

A: Topic = Derivative

Q: A deposit of $9,000 is made in an account that earns 5% interest compounded quarterly. The balance…

A: The given data is: The balance in the account after n quarters is: An=90001.0125n

Q: Convert the following equation to Cartesian coordinates. Describe the resulting curve. r = 4 cos 0 -…

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Q: Question 4 of 8 View Policies Show Attempt History Your Answer Correct Answer (Used) Your answer is…

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Q: Find T(t) and N(t) at the given point. t x = e¹ cost, y = e¹ sint, et sint, z = zet; t = 0 T(0) N(0)…

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