14х10+8 еx F (x : 4 x' + 13

Q: Find the focus of the parabola 4x +24 =8y-y².

A: Given: - The parabola is, 4x+24=8y-y2 To find: - The focus of the given parabola.

Q: A. Evaluate each of the following indefinite integrals: S*(1+v*) -ldv (cor-ly2) 2.

A: Solution is given below:

Q: 13 – 2r dx 1.

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Q: Write down the first five terms of the following recursively defined sequence. ɑi = 2; an+1 = -2an +...

A: Topic:- sequence and series

Q: 5* dx 1+5*

A: FOLLOW THE PROCEDURE GIVEN BELOW.

Q: What is the center of the circle with the equation: x² – 10x + y²=- 9? Blank 1 Blank 1 Add your answ...

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Q: Find y''' (3rd derivative) of y = sin^2 (tan(6e^x))

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Q: Find the value of the line integral given below. (Give your answer correct to 2 decimal places. Hint...

A: Given: F(x,y)=yexy i+xexy j

Q: find the average value of the function on the given interval 7T 5. COS on 0, 6. sin x on (0, 7)

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Q: nj 00 Write out the first five terms of the sequence with, |(1 – „4)" determine n+4 n=1' whether the...

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Q: 6. On the corresponding grids, draw any curve that satisfies the given conditions. A function where ...

A: Solution is given below:

Q: f(x)=2x^2+5x+3 find all values of x where the slope of the tangent line to is 0

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Q: 3 x° +x* dx x² 4 3

A: The given integral is solved below in detail.

Q: QUESTION 5 A conical water tank has a radius of 5 cm at the top and 20 cm high as shown in Figure 1....

A: Given: A conical water tank has a radius of 5 cm at the top and 20 cm high.  Water flows into a tank...

Q: Question 21 Give the coordinates of the vertex with focus at (1,2) and a directrix at y=8. Blank 1 B...

A: Given , The directrix is at y = 8 , focus at (1,2).  

Q: For the following exercises, find the volume generated when the region between the curves is rotated...

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Q: a) Queen Beyoncé's yacht will be leaving from Port Destiny and traveling on a straight line to an is...

A: Given: Queen Beyoncé's yacht will be leaving from Port Destiny and traveling on a straight line to a...

Q: Let ä = = (8,1, –4) and b = (5,-2,1). Find à + b, 4à + 2b, là\, and là – b\ %3D

A: a vector = <8,1,-4) and b = <5,-2,1>  Find , a+b, 4a+b, |a| , |a-b|

Q: Find the particular solution: (D^2-4)y=4x-3e^x

A: We need to find the particular solution of : (D2-4)y = 4x-3ex

Q: Prove that the line x +1 = 글(-6) - lies in the plane 3x + y – 2 = 3.

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Q: Sex sin x dx

A: Solving the problem by doing the integration.

Q: Find u v. u = 4i - 3j v = i - j V U V =

A: Finding the dot product of u and v

Q: ay The differential equation X dx =1 is a nonlinear differential equation. dx? %3D Determine it is a...

A: Since we are given with the multiple number of questions and our guideline is solve the problem so k...

Q: State the name of the property illustrated below. 4. /8 = /8 •4 Choose the correct answer below. Ass...

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Q: Find an equation of the plane containing the point P(2,1, –1) and having the normal vector N = -î+3 ...

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Q: Find the limit. Use l'Hospital's Rule where appropriate. If there is a more elementary method, consi...

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

Q: Consider the triangle formed by joining the points (0, 0), (A, B) and (C, 0) as depicted below. (A, ...

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

Q: 12. The volume of a spherical cancerous tumour is given by the function V(r) = {ar³, where r is the ...

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Q: 3. (а) х-ахis (b) y-axis y-4-

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Q: Let f(x,y) = x³y? The third derivative fexy

A: NOTE: Refresh your page if you can't see any equations. . take the partial derivative with respect ...

Q: 1. Graph y = -cos Ex) and y = -(x – 4)² + 1 accurately on the graph provided below. Provide the nece...

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Q: y" – 3y' + 2y = 2x² + 1

A: The Solution is given below

Q: Find the general solution of = 0 y" – 2y"' + 10y":

A: Given: y(iv)-2y'''+10y''=0To find the general solution of given differential equation:General soluti...

Q: 69x420

A: Given query is to perform indicated multiplication operation.

Q: if 2 and gcx) -X and h =1-2X %3D Find, fog fog, gof, gog, gofoh, fof > fof .

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Q: Variable Separable (6) (xy - 3y + x – 3)y' = xy + 2y – x - 2 (7) y' kM – ky; Provide the explicit so...

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Q: Find the general solution of 4y'- 23y" - 33у" -17у — Зу 3D 0

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Q: -3 -2 -1 1 2 3 g function is discontinuous at three values of x. List these values of t to largest. ...

A: Discontinouns

Q: f(t)=16t^2-64t, then f’(t)=

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Q: Write the trigonometric expression as an algebraic expression in u. cot ( cos 'u) cot (cos 'u) = (Ty...

A: Inverse function

Q: 5e3* dx J 6. 9-12e3 +4e6x

A: integration

Q: Suppose y = (x² + 5)³. (a) Find the differential: dy dx. (b) Compute the differential when x dx 2 an...

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Q: Find the equations of the line through (2,0, –4) and parallel to each of the planes x + y – z = 0 an...

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Q: Let   f(x, y) = √y - 2x.              NOTE: The y - 2x is all under the square root! - What is the...

A: As per the instruction, we will answer only the first one. Given f(x, y) = √y - 2x. So, domain for s...

Q: Determine the force due to hydrostatic pressure on a gate of an 8 ft tank filled with water (62.4 lb...

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Q: Question Evaluate the following limit using L'Hospital's rule. lim 3 In (x) 15х — 15 Provide an exac...

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Q: Find the 8th term of the arithmetic sequence -4, -9, –14, ... Answer:

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Q: 1. Using tables of values, determine the limits of the following. (a) lim (a) (b) lim)2x) (c) lim (-...

A: This question is based on Limits .

Q: what is the derivative of y=e^-1/2x(C1cos3x+C2sin3x) and evaluate if x=0, y'=8

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Q: 1. Using tables of values, determine the limits of the following. (i) lim (x° + 1) x→1 (i) lim(1 – a...

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