Divide the polynomial using long division (²-4)= (x + 4). √2+ ✓ + √√(2 √(x + 4)

Q: reference and terminal point of 13pi/4

A: reference angle - angle between terminal arm and x axis let θ = 13π4

Q: (a) Evaluate the following integrals: (i) x²edx (4) J dx (l) J e* sinh (-)dx

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Q: 3. The equation of motion of an object is given by s(t) = tet, where 0 ≤ t ≤ 10. Find the…

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Q: Cartesian coordinates of a point are given. (a) (−6, 6) (i) Find polar coordinates  (r, ?)  of the…

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Use the figure to evaluate the definite integrals S 2 1 y -1 -2. 1 2 y = g (t) 3 4 +t 5 g(t) dt and…

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Q: Calculate the moments Mr and My and the center of mass (x, y) of a lamina with the given density and…

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Q: Each of the following points is given in polar coordinates. Find the rectangular coordinates of each…

A: Given 4,3π4 We know that, x=rcos(θ)y=rsin(θ)Thereforex=4cos3π4,   y=4sin3π4x=4cosπ-π4,…

Q: • f (8. +12) de dx + • / ( 1 + ₁² + 0² - 2²/1) dx [sin(3x)dx

A: (1).The given integral is:∫8-x5+4x dx

Q: A farmer finds that if she plants 90 trees per acre, each tree will yield 30 bushels of fruit. She…

A: NOTE: Refresh your page if you can't see any equations. . if she plants 90 trees per acre, each tree…

Q: Let z(x, y) = xey where x = t5 & y = −3+2t. dx dy dz dt by first finding -& dt dt Calculate dx dt dy…

A: We will find the required derivative.

Q: Use the total differential to approximate the quantity. Then use a calculator to approximate the…

A: Let fx,y=x2+y2 And x=5 ,y=12

Q: A function f is said to have a removable discontinuity at a if: 1. f is either not defined or not…

A: Given query is to perform indicated operation on the function.

Q: Find the Jacobian J of the transformation T(u, v, w) = (4u +4v+w, 4u − 2v+2w, 4u — 4v +2w) = (x, y,…

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Q: iv 1 S₁²x x³ (1-x)5dx 3

A: The objective of the question is evaluate the definite integral.

Q: Question1: a) Find a power series representation of 1/(3-2x). b) Find a power series…

A: (a) Given that , fx=13-2x Find a power series representation of fx.

Q: Find the two values of k for which y(x) = ekx is a solution of the differential equation y'' - 8y' +…

A: d dx(ex)=exy(x)=ekx

Q: 8. Solve the initial value problem as a linear first-order differential equation: 3 ty – 2y = t³…

A: The given differential equation is:t y'-2y=t5 sin(2t)-t3+4t4 ,       y(π)=32π4

Q: Differentiate the series represented by the function f below term-by-term to find the power series…

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Q: 5 The gain of an amplifier is found to be G= 20 log (10V out) :: The tasks are to find equations…

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Q: Find and classify the critical points of z = = (x² – 2x) (y² - 5y). Local maximums: Local minimums:…

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Q: 3. The derivative of a function is given by f'(x) = -63x² - 12x + 18. Give 3 different functions…

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Q: b) following function is defined Determine the point(s) where the g(x, y) = -(x-3)…

A: Given:   To determine: The point(s) where the function g(x,y) is defined.

Q: For the sequence an = — 1)" 20 n²

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Q: Calculate ∂ω∂z for ω=ze(xy2+2z).

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Q: Assuming that the equation below defines y as a differentiable function of x, find the value of…

A: Given: 4x2+xy+3y2-54=0 We know that ddxxn=nxn-1 and ddx(constant) = 0

Q: 27 the absolute extrema if they exist, as well as all values of x where they occur, for the function…

A: Topic:- application of derivatives

Q: a. Use the Product Rule to find the derivative of the given function. b. Find the derivative by…

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Q: Which of the following differential equations most likely represents the given directional field? a.…

A: The answer is in step 2.

Q: Determine the open intervals on which the graph is concave upward or concave downward. (Enter your…

A: for concavw up  f''(x)>0for concave down   f''(x)<0d dx(x)n=nxn-1

Q: An open box is to be made out of a 6-inch by 20-inch piece of cardboard by cutting out squares of…

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Q: Find the values of x, y and z that correspond to the critical point of the function: f(x, y) = 5x² -…

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Q: Use the Integral Test to determine whether the infinite series is convergent. ∞ 7n (n2 +…

A: The given series ∑n=1∞7nn2+135 We have to find the convergent of the series using integral test.

Q: Use the formula d = √²+r₂²-2rr₂ cos (0₁-0₂) to find the distance between the two points indicated in…

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Q: Find the point of inflection of the graph of the function. (If an answer does not exist, enter DNE.)…

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Q: Use a definite integral to find the area under the curve between the given x-values. 3 X f(x) = from…

A: To find the area under the curve.

Q: A firm manufactures a commodity at two different factories, Factory X and Factory Y. The total cost…

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Q: factor the polynomial f(x)= x4-7x3+9x2+27x-54 given that 3 and -2 are zeros. then identify all real…

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Q: Find f'(x) for the following function. Then find f'(4), f'(0), and f'(-3). -8 X f(x) =

A: We have given function  fx=-8x fx=-8x-1 f'x=ddx(fx) f'x=-8ddxx-1 f'x=-8-x-1-1=8x-2 f'x=8x2 Put x = 4…

Q: Let f(x) be a function that is defined and has a continuous derivative on the interval (2, ∞).…

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: (d) -6 x= -4 -2 decreasing y (i) Identify the critical numbers of f. (Enter your answers as a…

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Q: Find the point on the plane 4x + 5y + 8z - 18 = 0 closest to the point (-4,5,3). The point is ().…

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Q: Consider the following function. f(x)= 15x+1 (a) Find the critical numbers of f. (Enter your answers…

A: “Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts…

Q: Question Differentiate the series represented by the function f below term-by-term to find the power…

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Q: Let - 2x3 - 2y³ - 2z3 + 2xyz - 284 = 0. дz дz Use partial derivatives to calculate and at the point…

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Q: For the given cost function C(x) = 78400 + 700x + x², First, find the average cost function. Use it…

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Q: Determine the sum of the following series. 3)n-1 6n n=1

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Q: K Consider the function f(x) = - (a) lim f(x) = X→∞0 3 4x³ + 18x² + 18x lim f(x) = (a) Evaluate lim…

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Q: Set up a triple integral in cylindrical coordinates for the volume of the solid region E, where E is…

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Q: terminal point of 6pi x.y coords please

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Q: Evaluate the double integral. 16 (2x + y (2x + y) dA, D = {(x, y) | 1 ≤ y ≤ 4, y = 3 ≤ x ≤ 3}

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