Find the equation of the hyperbola with vertices (−3, 6) and (−3, −2) and foci (−3, 8) and (−3, −4). Enter your answer as an equation in standard form in terms of x and y. Provide your answer below:

Q: Find an explicit formula for the geometric sequence with a₁ = 10 and a3 = 40.

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Q: A landscape architect in a botanical garden plans to enclose a 2000 square foot rectangular region…

A: Firstly we need draw and label the situation followed by construction of equation for the total cost…

Q: 7) What value of N(x, y) will make the differential equation (3r2y +422)dr + N(x,y)dy = 0 exact? a)…

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Q: sin³ x + cos²x sinx = 2

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Q: Find the area of the region bounded by the parabola y = 4x2, the tangent line to this parabola at…

A: find equation of tangent line at ( 2 , 16 ) first find slope  for x = 2  slope m = 8*2 = 16

Q: Solve for 8: cos²0 (1 + 2cose) = 0 on the interval 0 sesn. = 06-1플 100-10. ㅠ 3 품 품 3 3 00-27, 0.ㅠ…

A: To solve the trigonometric equation cos2θ1+2cosθ=0 ; 0≤θ≤π.   As the general solution of the…

Q: Use reference angles to evaluate sec Enter the exact answers. For the number 7, either choose from…

A: Given query is to find the value of the expression.

Q: ) Inverse Laplace transform of 2S-5 2 + is s²+16 S3 f(t) = 2cos(4t)-5sin(4t)+t² F(s) =

A: NOTE: Refresh your page if you can't see any equations. . take inverse Laplace

Q: Use Partial Fractions to find | 2x + 24 (x+3)(x + 6) O None of these. O 6 ln x+6 - 4 ln |x +3| + C…

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Q: Simplify the following expression: O sin²(u) O 1 - sec²(u) O sin(u) O cos² (u) Ⓒ 1 - cos(u) cos(u)…

A: formula used is  secu=1cosusin2u+cos2u=1

Q: √2² This can be transformed into a basic integral by letting Consider the indefinite integral U= du-…

A: We have given an indefinite integral  ∫x5·x6-24 dx Let,  u=x6-2 du=6x5 dx So, integral will be…

Q: Which of the following is NOT true about the exponential function y = a where a > 1? O Its range is…

A: The domain of exponential functions is all real numbers. The range is all real numbers greater than…

Q: What is the value of 34 25 2 O 17 0-1 S²₁ x-3 dx?

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Q: Let f(t)= e¹t2 + cos(3 t) e5t then е L{f(t)} = ? O F(s) = F(s) = 2! (S-1) (s²+9) (s-5) F(s) = + 2! S…

A: Use property of Laplace

Q: In decomposing the rational function C (x + 1)² A x - 5 01 0-1 O-2 02 + 0 0 B + x + 1 2 x² + 11 -as…

A: Explained below

Q: Given f(x, y) Evaluate f(10, 8) f(10, 8) = 70x +90y - 5x² - 4y² - xy =

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Q: Which of the following graphs show a removable discontinuity? (Select all that apply) U e

A: Please see the below answer.

Q: What is the value of 22 1 110 O 21 S 0 x(1-x) dx?

A: Given ∫01x(1-x9)dx   The objective is to evaluate the integral.

Q: Suppose a linear function has a vertical intercept at y = -9 and a horizontal intercept at x = 15.…

A: Linear equation

Q: Find the degree, leading coefficients, and the maximum number of real zeros of the polynomial. f(x)…

A: Let's find degree, leading coefficient and maximum number of real zeros.

Q: n-1 2)Let an = 2( 2 (²1) ¹²-¹ Write the first 5 terms of an. Σ ¹00 k=1 ak

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Q: The cost C'(x), where is the number of miles driven, of renting a car for a day is $48 plus $0.95…

A: Let's find linear function.

Q: f(t) = te4t

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Q: The function w(z) represents a package's corresponding weight in grams when the package's weight is…

A: Given query is to find the meaning of the inverse function.

Q: If f(x) = In x where x > 0, what is In r 2 1 2√ ln x O 1 2x ln x 1 2x 1 d (f (√)). ? dx

A: Given: fx=lnx To find: dfxdx Now, first we need to find fx fx=lnx ⇒fx=lnxy2 ⇒fx=12lnx

Q: 6. Find a unit normal vector to the surface z = f(x, y) = xey - 2y at (0, 1, -1) and find an…

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Q: Suppose that f'(x) = e for x < 0, and f'(x) = x + 1 for x ≥ 0. Find fƒ(1) - f(-1). Round your answer…

A: we will find the required.

Q: Would you use the dividing out technique or the rationalizing technique to find the limit of the…

A: see below the aanswer and explanation

Q: Refer to the graph of y = f(a) with secant line PQ and tangent line PS. O PQ O PR O QR OQS OOO…

A: By the definition of dy  dy = f(x+ ∇ x) - f(x)

Q: Please answer the question. Asap. Thank you.

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Q: Given the ellipse below, determine the coordinates of the two foci. Enter the coordinates as ordered…

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Q: If y = ln(lnx) then x = ety O Y eey ?

A: Given query is to find the value of x.

Q: 4. Find the equation of the plane that is perpendicular to the curve C(t) = at t = π/4.

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Q: Let f(x) = x² + 7. Find and simplify: f(x + 6) - f(x) O 12x + 50 O 12x + 36 O 12x O 50 0 36 O 6x +…

A: We can simplify and find the correct answer in the below steps.

Q: Consider the following system. dx dt dy dt = 6x + 5y K = = -2x + 8y Find the eigenvalues of the…

A: As per guidelines of bartleby we solve only one problem

Q: 14 6,¹ 3 Suppose f(x) dx 3 S f(x) dx = [ 14 = 15. Find

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Q: Consider the following parametric curve. Answer parts a and b. x = 4+2t, y=1-6t; t = 2 a. Determine…

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Q: ppose h(x) = f(g(x)). Given the table of values below, determine h' (2). x f(x) g(x) ƒ'(x) g'(x)| 2…

A: Given query is to find indicated derivative.

Q: Set up an integral which calculates the total distance traveled by the drone between t=1 and t=2?…

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Q: 10-9-8-7-6 -5 -43 -2 10 thow 4665 8 7 665 + 4 324 7 -3 -4 -5 -6 -7 -8 -9 10 7 ∞ 114 OI 6

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Q: If a loading ramp is placed next to a truck, at a height of 8 feet, and the inclined portion of the…

A: Given query is to find indicated angle.

Q: Let f(x) = x for x < 0 and f(x) = sin(x) for x ≥ 0. Match the following. Here DNE means does not…

A: The function is  f(x)=x for x &lt; 0 and f(x)=sin(x) for x≥0

Q: 1 COS X sin² x O - cscricot - O sec x O tan x dx = cotx +C - tam x - C + C secx + C O csc x - cotx +…

A: First we need to simplify the given trigonometric ratio and then integrate it accordingly.

Q: Vectors are shown in the graph. n Or O q Ou 7 n 60 5 3 2 1 T -2 P XX u S ? 1 2 3 Which of the…

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Q: Perform the matrix operation. Let A = °[4 4 -3] -16-4] O 0-31 [0-12] O [d [-2 2 -8-8 O -4 -3 0 -12]…

A: Given query is to perform indicated matrix operation.

Q: Evaluate the integral f(2x + by making the substitution u = x² + 3x + 8. 2x + 3) (x² + 3x + 8) ¹dx +…

A: Evaluate the integral. By making the substitution u= x2 + 3x + 8

Q: Find a "cartesian" equation for the circle which is given by the polar equation r = 2 sin 0, and…

A: Given query is to find the Cartesian equation and the centre of the circle.

Q: 19) Determine a particular solution of NHLDE (3D³-2D2-3D+2)y=10 b) Up = 5 10 3 d) p 10

A: Given differential equation ( 3D3 - 2D2 - 3D + 2 )y = 10 as we know that yp = perticular solution

Q: Evaluate the integral by making the appropriate substitution: u = f2¹ (25 - 4) 43³dz = dx 43 fz¹ª…

A: To evaluate the integral.

Q: If f(x) = x² and g(x) = 0 (6³-a³) O None of these. O2(6²-a²) 026-2a 06² q² what is g(x)da?

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