Find the vertex, focus, y-intercept, directrix of the parabola. Find the domain and range. Graph: (y + 1)² = 8(x + 2)

Q: Use the given information to find the indicated probability. A and B are mutually exclusive. P(A) =…

A: As per our guidelines we can solve only one question at a time.  Please upload separately for more…

Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. [ cos¹…

A: This question is related to indefinite integration, we will solve it using given information.

Q: xdx + (y − 2x)dy = 0

A: According to our guidelines , we can answer only first question. Kindly re-post other remaining…

Q: Solve the problem. 28) A kitchen remodeling company determines that the marginal cost, in dollars…

A: In this question we have to find the cost of installing an extra 9 feet of countertop.

Q: uanita wishes to have a rectangular garden in her backyard with an area of 60 ft². etting x denote…

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Q: Evaluate the integral. I sin sin (3x) cos(6x) dx = NOTE: Enter the exact answer. + C

A: We can answer the integration as below.

Q: Find the general solution of the differential equation y" - 10y + 125y = 0. NOTE: Use c₁ and ce as…

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Q: If    f(x) = 2 cos(x),    0 ≤ x ≤ 3pi/4,    evaluate the left Riemann sum with  n = 6,  taking the…

A: Given :fx=2cosx   , n=60≤x≤3π4

Q: Consider the surface described by Question the equation z² = √е¹-2y. a) Find the equations of the…

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Q: 6. Suppose you drop a golf ball onto a hard surface from a height h. The collision with the ground…

A: Disclaimer: Since you have multiple sub parts of question, we will solve first three part for you.if…

Q: Find an equation for the hyperbola that satisfies the given conditions. Foci: (±5, 0), length of…

A: We will find the equation of hyperbola.

Q: If-2 is one root of x² +kx− 6 = 0, find the other root and the value

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Q: Find f'(x) and find the equation of the line tangent to the graph of f at the indicated value of x.…

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Q: Use partial fractions to find the power series of the function: 8 n=0 11x² + 629 (x² + 64)(x² + 49)

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Q: 3) A) E B) [ Consider the homogeneous DE: y'"" + 2y" + y = 0 Verify that y = cos(x) is a solution of…

A: The given differential equation is;  y''''+2y''+y=0

Q: Determine whether u and v are orthogonal, parallel, or neither. u = (cos(8), sin(0), 1) v = (sin(0),…

A: If u and v are orthogonal then u•v = 0  if u and v are parallel then u • v = | u | •| v |

Q: When proving the limit lim(2x + 8) = 14, and e > 0 is given, what is an appropriate choice for 8?…

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Q: SPA 32 Select one: True ● False dx dy = 13 2

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Q: C'(x) = C'(8) = 1 √√2x + 48

A: It is given that, C(x)=7+2x+48     ,    0≤x≤50 We have to find the value of C'(8).

Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. | sin (2) x²…

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Q: Choose the area of the region enclosed by the curves -6 4x 0 x=0, x=6, y = 4x², y = 4x. 4x2 6 SO SAX…

A: Given.

Q: Let y₁ = e³x and y2 = xe³x be solutions for a homogeneous DE. Then, is also a solution to the DE.…

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Q: 3. A bucket that weighs 3 lb and a rope of negligible weight are used to draw water from a well…

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Q: Q2) [ Given the function f(x,y)=x²-6x+y²-6y+8 a) [ Find all critical points of f. b) Find the…

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Q: 2) A) (::.. y" + 9y = 0 B) i y" + 9y = 0, y(0) = 0, or else show that it has no solution ... )…

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Q: Find the area bounded by the given curves. ')y=x3, y=x2

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Q: 14. Determine whether the triangles are similar. If they are, write a similarity statement. Explain…

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Q: The shape of a colony of bacteria on a Petri dish is circular. Find the approximate increase in its…

A: topic- application of derivatives

Q: Find the associated exponential decay or growth model. (Round all coefficients to three significant…

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Q: 3x 1+x* 4. Find a power series representation for the function f(x)=; and find its interval of…

A: Please see the below picture for detailed solution.

Q: Find the one-sided limit (if it exists). (If an answer does not exist, enter DNE.) 6x²+x-1 6x²-3x -…

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Q: Find the percentage rate of change of f(x) at the indicated value of x. f(x) = 310 + 65x; x = 3 The…

A: We have to find percentage rate of change

Q: Find y' and the slope of the tangent line to the graph of (2x - 5y)7 = 3y2-2 at the point (3,1).…

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Q: Find the work done by the force field F in moving an object from P(-3, 7) to Q(7,5). 2x F(x, y) = -

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Q: The normal vector to the tangent plane for the surface xy² z³ 2 3 = -4, at the point (1, 2, -1) is:…

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Q: Use the Integral Test to determine if the series shown below converges or diverges. Be sure to check…

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Q: Find y' and the slope of the tangent line to the graph of (2x - 5y)7 = 3y2 -2 at the point (3,1).…

A: The used formulas are

Q: (2x - y)dx(x + 4y)dy = 0

A: As per the rules, we can answer only the first question and other can be reposted.

Q: Find the relative extrema of the function and classify each as a maximum or minimum. -2)2/3 5) f(x)…

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Q: Use a double integral to find the volume of the indicated solid. X 2 N z = e¯(x+y)/4 2 0≤x≤ ∞o 0 ≤ y…

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Q: 7. If f(x)=4x-3 and h(x) = 4x² -21, find a function g such that fog=h

A: The given functions are: fx=4x-3 and hx=4x2-21

Q: The series verges Justification: (converges, diverges) by applying the test.

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Q: Find the absolute maximum and absolute minimum values of the function, if they exist, over the…

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Q: [ 1² dx dy = 1/2 Select one: True False

A: Evaluating the definite integral

Q: The function f(x, y) = 2x³ - 6x + 6xy² has: Select one: O One minimum One maxima and one saddle…

A: Topic:- application of derivatives Note :- as per our guideline if more than one question uploaded…

Q: The total sales of S (in thousands of DVD's) of a certain movie are given by the following formula…

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Q: Find the limit (if it exists). (If an answer does not exist, enter DNE.) làm 9 cot x

A: topic- limits

Q: Match the vector-valued function with its graph. r(u, v) = ui + vj + uvk -2-1 2 2

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Q: Find d²y/dx². y=xsin x 10 cos x

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Q: 1. y (x²-y²2) dx + x(x² + y²) dy = 0

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