Use an integral to find the area of the region under y = 71n(4x) and above y = 3 for 4 ≤ x ≤ 8. Round your answer to three decimal places. Area = Mi

Q: Find the partial derivatives of the function 뚝뚝층 _w = V2 + 182 + 2t2

A: The Power Rule:The Chain Rule:

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Q: f(x) 1 2 2 1 3 3 4 -1 f'(x) g(x) 3 4 -3 -2 -1 1-2 3 12 |-4 -1 0 -3 g'(x)

A: According to latest Bartleby guidelines, we can answer only first three subparts, please post other…

Q: Below are rules for four functions. Identify each functions as even, odd, or nei- ther. Press on the…

A: Given: To Find: To identify each functions as even, odd, or neither.

Q: If a 5, b= 7, and c= 11, find the measure of ZC. ZC b C • Enter your answer as a decimal value. •…

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Q: Verify Green's Theorem by evaluating both integrals [ (2x 7 dx + x² dy = √ √ (³N- aM) d. dA ax for…

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Q: $8000 is invested in an account that pays interest of 3% compounded daily. What will the account be…

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Q: Consider the following. S S SE 10xdV where E is bounded by the paraboloid x = (a) Describe the…

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Q: Current Attempt in Progress Incorrect. Find the area under P = 120(0.7)' between t = 0 and 1 = 6.…

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Q: Let f,g A→ R and suppose that c is a cluster point of A. If lim f(x) = L and 0 then using the…

A: This is question of calculus.Here is limit of function is given And we have to prove statement for…

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Q: Consider the series. -7/12 +49/144 - 343/1728 +2401/20736 + ... Determine whether the series…

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Q: Find the tangent line to r=theta at theta=pi/4 in y=mx+b format

A: The given polar equation is

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A: To Compute the directional derivative of the following functions at the givenpoint P in the…

Q: Let T be a linear transformation induced by the matrix A = Find the matrix of T-¹.

A: The given matrix is,A=(4−32−2)Find the determinant of the matrix…

Q: C. Evaluate d²y dx² at the point (1,2)

A: Consider the curve

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A: To find the solution of the following system.

Q: Evaluate the following. [³√9+xªdx 9 + x4 dx

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Q: Graph the polynomial P( (e) Sketch the graph O points in each inter

A: We need to solve function and draw graph.

Q: Area = 7 (a) What is [*5(x) 5 f²50 f(x) dx = (b) What is f(x) [ f(x)² is fºfo f (x) dx = [s (c) What…

A: Definite integral :- A deefinite integral has been evaluated between specific limits. This can be…

Q: Find the volume of the solid in R³ bounded by y = x², x = y², z = x+y+27, and z = 0. V=

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Q: Using the figure below, estimate 9 30 3 30 60 ["f(x) dx 15 ef 6 f(x) dx = i 12 f (x) dx. 15 Enter…

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Q: Problem Let g(x) = f f(t) dt, where f is the function whose graph is shown below. Evaluate g(4). 2 1…

A: Consider the graph

Q: Find the surface area of the portion of the plane z=6-3x-3y which lies in the 1st octant I)2sqrt18…

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Q: For each power series below, find the radius of convergence, R. Στχή : R = 0.5 n=0 X

A: Consider the series

Q: Use the Mean Value Theorem to prove: If f(x) and g(x) are differentiable on an interval (a, b) and…

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Q: Graph the following rational function: f(x)= 3x²-12x-15 x²-11x +30

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Q: If we have to y = C₁e* + c₂xe* is the general solution of the homogeneous differential equation…

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Q: 5. [15 pts] Given cos a = -, a in Quadrant III, and sin ß= 1, 3 in Quadrant II. a) Find sin(a+ß). b)…

A: D

Q: Use integration by parts to evaluate the integral: fe-t sin( e-tsin(-10t)dt 1 - [ 101 sin(-10t) +…

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Q: g(x) = * (4 + sin(t)) dt

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Q: Use Newton's method to estimate the two zeros of the function f(x)=x*-x-17. Start with xo = -1 for…

A: Newton-Raphson method:-

Q: Find the relative rate of change of f(x) = 12 +2e-2x The relative rate of change of f(x) is

A: The objective of this question is to find the relative rate of change of the function f(x) = 12 +…

Q: Evaluate the limit. 3t2t t lim t-0 log 3 -log 2 X

A: Limt-0-2t)/t

Q: Current Attempt in Progress Given the figure and [ f(x)d(x) = 1.25, estimate: (a) f f(x) dx = (b) […

A: Given that.We will find the remaining values.

Q: Use the limit definition to find the slope of the tangent line to the graph off at the given point.…

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Q: Activity 10.6.5. Consider the function f defined by f(x,y) = =−x + 2xy − y. a. Find the gradient ▼…

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Q: Find the critical points of f(x)=x^3-12x-5 and identify the open intervals on which f is increasing…

A: To a. Find the critical points of f(x)=x^3-12x-5 and identify the open intervals on which f is…

Q: 7. [−¹ § 3sª +68³ +7s² +55+2 s² (s+2)(s² +1) 2

A: inverse laplace transformation of the given function

Q: on f(x) = −3x² − 5x + 2 ir

A: given quadratic function

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Q: If n is a prime number greater than 3, what is the remainder when n² is divided by 12?

A: The objective of this question is to find the remainder when the square of a prime number greater…

Q: Find the tangent line approximation T to the graph of f at the given point. Then complete the table.…

A: Givenf(x)= sinx , (4, sin4)

Q: Let g be the function given by g (x) instantaneous rate of change of gl at x = 1? O O -42 -38 42 38…

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Q: Graph the polynomial P(x) = x3 + x²-5x + 3 using calculus by showing the given steps: (d) Determine…

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Q: ·3 S S³ S² fő z dwdzdydx?

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Q: (b) A cone-shaped ice is melting at the rate of 2 m³/s in a manner that maintains its original…

A: The initial radius is r=50 mThe initial height is h=100 mFind the ratio of height over a radiusThe…

Q: Find the accumulated present value of an investment over a 9 year period if there is a continuous…

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Q: (a) lim (ln(5x³ + 4) — ln(x³ + x + 7)) x→∞

A: since you have posted multiple question in this question which are not interlinked so i have solved…