Find the standard equation of the parabola which satisfies the given condition. Vertex (-4, 2) focus (-4, -1)

Q: Determine the convergence or divergence of the series using any appropriate test from this chapter. ...

A: The given series is: ∑n=1∞cos(n)4n Let, an=cos(n)4n; n≥1

Q: Use the ratio test to determine whether the series converges. If the test is inconclusive, then say ...

A: This is a problem related to series calculation. Based on the ratio test we will determine the natur...

Q: NgOZp5p4CnlLGsL9a. E The monthly profit for a small company that makes long-sleeve T-shirts depends ...

A:

Q: prove that (sin?acos'x)(tan?x+ cot?x + 2) = 1

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Q: Problem 2. Do both part a. and part b. Find the maximum or minimum value of the quadratic function f...

A: see below the answer and explanation

Q: 4 5. Find the sum of the series 2 (2n + n³) n =1

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Q: he table below shows some input-output pairs or a function f. x f(x) 1 -5 2 -3.4 3.5 2.8 8. 13 a. De...

A: Given query is to find the average rate of changes for indicated intervals.

Q: Question dy Using implicit differentiation, find dx Vxy = -4 + xy

A:

Q: " + y = 12 cos 2x - sin x. A. " + y = sin 3x +4 cos x. A

A: Given: y''+y=12cos2x-sinx

Q: Use the formula for the binomial series: m(m–1)---(m-k+1),★ + k! m(m-1) 2! m(m-1)--(m-k+1) „k if k=1...

A: expansion through maclaurin series .

Q: f(x.y) = / (x² - 16) (y² - 9) Find the domain of the function. Express the domain so that coefficien...

A:

Q: A polynomial f(x) and one or more of its zeros are given. f) =4x-43x²+134x-78 2. 5-i is a zero Part:...

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Q: 7.2. +4 7.2. 1- 'y'+ 16

A: Using integration formula,

Q: Uncover the function f shown that the slope of the tangent line to the chart of f at any point (x, f...

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Q: A ship sails from a harbor for 16 nautical miles south. It then sails in the direction S 55 E for 18...

A:

Q: Prove that 2"+l > (n + 2) · sin(n) for all positive integers n.

A: We have to prove that, 2n+1>(n+2)·sin(n) for all positive integers n.

Q: A differentiable function f has one critical number at x = 8. Identify the relative extrema of fat t...

A: We have to choose correct option

Q: Plot and label the following polar point on the graph. Find the Cartesian coordinates of this point....

A: see below the answer and explanation

Q: Use the ratio test for absolute convergence to determine whether the series converges or diverges. I...

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Q: Find all the points of the graph of y = (x - 2)2 at which the tangent line is perpendicular to the l...

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Q: Determine whether the series converges, and if so find its sum. 4k+5 7k-1 k=1 II

A: topic - sequence and series

Q: Evaluating Indefinite Integrals Evaluate the integrals in Exercises 37–46. 44. (sec 0 tan 0) V1 + se...

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Q: 6. ху\ + (1+х)y %3Dе*, у(1) — 0 7. sinx y'+2y cosx = sin2x, y : 2 6.

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Q: 1 dx cos x 7. . /3 1+sin x 8. cos rsin r dr. 9. cos rsin?r dr. COS

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Q: 3. Evaluate ". a, Inutc b. In u C. Inx+c

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Q: Directions: Determine which graphs represent a function and then drag each into the appropriate colu...

A: Topic = Functions

Q: curve r = 5 cos(30). Set up an integral for finding the area that it encloses.

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Q: ans ) Find the lengthaf the Projection of the line jeining (-1,2,) ane -19 2) on the Plane 2X-y-27=4...

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Q: Solve the system. 2х + 6у - z %3D 6 4х - Зу + 5z 3D - 10 8х + 9y - 2z 3 12 The solution set is {(CI)...

A: We have to solve system of equation

Q: Given: В 2, 30° V3 A ZA = O 50° 40° 60°

A: We have to find out the angle

Q: 2 sin x lim x→01 – cos x + sin x -

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Q: Determine the quotient and remainder if P(x)=x'+6x'+2x'+x-3 is divided by D(x)—x'—2х—1

A: Topic = Algebra

Q: Solve the following differential equation (y-4x-1)²dx-dy=0

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Q: Evaluate Log base (1-i) (1+(sqrt of 3)i) and express the final answer in polar form.

A: Given: - log(1-i)(1+3i) To evaluate: - The final answer in polar form.

Q: What is the average rate of change of the functin g(x) = 2x^2 -9 on the interval [4,7]

A: g(x)=2x2-9 on the interval [4,7]

Q: The system of equations has a solution set: X1 - Xz - 2x4 = -9.1 X2 + 2x3 + 3x4 = 10.1

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Q: Convert the parametric equations of a curve into rectangular form. No sketch is necessary. x = In(2t...

A: Given query is to find the equation in rectangular form.

Q: Given the graph of the function f(x) = cosx, evaluate the following limits: (5 points each) 2x 3T 1....

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Q: If y = 9csc²-x 3 O -18 csc2> 3 -6 csc²}x• 3

A: Given: y=9csc213x

Q: y = tan o (sin 67E-TT) find dy dt ()

A:

Q: 5. Evaluate J2xdx, a, x' +c b. x+c C. 2x+c

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Q: Зх + 7y h(x,y)%3D find and dx ду ху - 10

A:

Q: 8 6. Evaluate E n(3 + 2n + n2) n = 1

A: ∑18 n(3 + 2n + n2 ) if n =1 1(3 +2 +1) = 6 if n=2 2(3 + 4 +4) =22 n =3 3(3 + 6 +9) = 54 n =4 4(3 + 8...

Q: Use the Limit Comparison Test to determine the convergence or divergence of the series. 00 1 Vn? + 1...

A:

Q: 5dx Evaluate the æ(x+1)° O a. Ina + In (æ +1) + 5 +C O b. Ina – In (x + 1) – а. 5(x+1) 1 + C 5(x+1) ...

A:

Q: Find the absolute maximum and minimum values of the function f(x) = xV4 – x² on the interval [-1,2].

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Q: Find [(dy)/(dx)] if the curve is defined by 7 x² e7 Y + 6 y2 e2 x = 16. %3D [(dy)/(dx)]

A: Given:     7x2 e7y + 6y2e2x = 16

Q: Use the ratio tl to determine if the sequence {ne" }, is strictly increasing or strictly decreasing....

A: Please see the below picture for detailed solution. 

Q: Given the table of values below, find h'(3) if h(x) = g(x · f(x)). f(x) f'(x) g(x) g' (x) 1 4 -8 Pro...

A: Given query is to find the value of the Indicated derivative.

Q: Solve the given problem below: (2x + y cos x) dx +sinx dy=0

A: We will solve it by exact differential equations method.