Apoint P(x,2) is equidistant from the points (-2,9) and (4,-7). What is thevalue of x?

Q: Solve the differential equation of order one.  (x4 + 2y)dx - xdy=0 STEPS: a. Put the equation in…

A: Separate the equation to form standard form then solve

Q: 3. Solve the differential equation of order one.  y' = csc x - ycot x STEPS: a. Put the equation…

A: Integrating factor of a differential equation of the form, dy/dx +P(x)y=Q(x) is given by, I.F=…

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Q: For the following system: a) Determine how, if at all, the planes intersect. b) If they do,…

A: Given

Q: IV. Solve the following problems completely. 3 1. Use local linear approximation to estimate √√(3.…

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Q: Perform the following integration. 1. (sinhr) (coth² x + csch³ x) dx sec³ x tan x 2. S dx √2 + sec x…

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Q: Below you are given six polar equations and plots of four of these curves. Match each plot with the…

A: Consider the curves

Q: Solve

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Q: Evaluate the limit: lim (x - Inx)* x→0+

A: Using limit definition

Q: R is the region bounded by the functions f(x) = - +3 an exact answer. Provide your answer below: A =…

A: The given two functions are:fx=-x23+4x3-103 and gx=x23-10x3+103We need to find the area bounded by…

Q: Evaluate f(x³ -x + 1) dx a. 0.250 b. 0.500 c. 0.625 d. 0.750 e. NONE OF THE ABOVE

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Q: Q2/ Find the derivative 1. sin(xy)= of each of the following functions:- 2. y =(Inx)³ 3. y=cos (sin…

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Q: consider the following. u=i+√√7j, v= -√7i+j (a) Find u. v. u'v= (b) Find the angle between u and v…

A: Solution is here

Q: 2 a sin 0 0 a²_r² .2 a So 0 rdz dr de

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Q: 1. Let B = {. What is A. C. B. ( D. cannot identify } and the operation * is defined by the table…

A: To find what element we get after operating the given elements.

Q: Evaluate ¹ dx √√9-4x2 a. 0.285 b. 0.123 c. 0.423 d. 0.365 e. NONE OF THE ABOVE

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Q: (13²-1| + |3²-3) da

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Q: Set-up the iterated double integral in polar coordinates that gives the volume id enclosed by the…

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Q: Find the derivative of the function. g'(t) = g(t) = (8t + 8)² (8t² – 8)−3 -

A: We need to find derivative of given function.

Q: IV. A small business determined that the price-demand and cost functions for producing and selling x…

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Q: (3) Prove the Generalized Triangle Inequality: if a1, 42, ..., are R then an + Q2 + · · · + @ < 41 +…

A: Given

Q: Evaluate (2x + 3e* - 4) dx a. 12.43 b. 13.45 c. 14.24 d. 15.23 e. NONE OF THE ABOVE A О в Oc O D DE

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Q: Evaluate the indefinite integral given below using the indicated substitution. /-20 -2(-2x +9)³ dx u…

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Q: Set up the triple integral that will give the following: (a) the volume of R using cylindrical…

A: Given that      Region R : 0≤x≤1 , 0≤y≤1-x2 , 0≤z≤4-x2+y2    Now, we take…

Q: Find the area bounded by y = 2 - x² and y = x a. 9/2 b. 7/2 c. 5/2 d. 3/2 e. NONE OF THE ABOVE A D E

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Q: Using Laplace transforms, solve the initial value problem y" − 2y' + 10y = 0, y(0) = -3, y'(0) = 3.…

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Q: Set up the triple integral that will give the following: the volume of the solid B that lies above…

A: Given

Q: Find the Integrating Factor (I.F) of the following linear differential equation:

A: Please refer to the image below

Q: Example Find dy/dx for the function y = x² In (4x)

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Q: 4x Find the average value of the function f(x) = = 5 Submit your answer as an exact value. Provide…

A: We know that average  value of the function f(x) on [a,b,] is 1b-a∫abf(x)dx

Q: Find the volume generated if the area between y = coshx and x- axis from x = 0 to x = 1 is resolved…

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Q: If y₁(x)=e³x and y₂(x)=xe³* are solutions to y" - 6y' +9y = 0, what is the general solution?

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Q: Find the value of the following definite integrals. Show your solution. L₂(x¹+4) dx 2. (cos x + tan…

A: Topic = Integration

Q: CONSIDER A FUNCTION OF R IN R DEFINED BY: x² + 1 X-2 SO, THE EXPRESSION: f(x) - f(3) x - 3 FOR 2 IS…

A: f is a function of R in R defined by  f(x)=( x2+1)/(x-2)  Then expression [ f(x)-f(3)]/(x-3) ?

Q: I the volume V of the solid obtained by rotating the region bounded by the given curves about the…

A: Topic:  application of integration

Q: 3 foa 0 (|3x − 1| + |3* – 3|) dx

A: Use integral concept

Q: 4. Find the area of the region bounded by the horizontal strip. y² +1 and the y-axis using

A: Topic = Area

Q: ways

A: Please refer to the image below

Q: lim x→0 sinh x2 – x2 sinhx−x

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Q: Find the volume of the solid that results when the shaded region is revolved about the indicated…

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Q: 3 Sx³ e³x² dx

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Q: Evaluate fsin² 2xdx Show step-by-step solution.

A: We need to do integration of  sin2(2x)  First we will apply it's formula, since this value is equal…

Q: Consider the function f(x) = cos x - 3x + 1. Since f(0)f < 0, f(x) has a root in [o,]. If we use…

A: The function f(x)=cos x-3x+1 has a root in 0,π2, with x0=0.5

Q: - 3x17 +10+10 - ) 4x19-3 b) (4x2 - 1)(7x3 + x)] + 100

A: Note: As per our company guidelines we are supposed to answer first three sub-parts of the question.…

Q: Evaluate the limit: sinh x2 – x2 lim x→0 sinhx − x

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Q: 1. Let f(x) = sin²(x) cos(x) g(x) = sin² (x) cos² (x) h(x) = sin² (x) cos³ (x) ㅠ (a) Plot all three…

A: Disclaimer: “Since you have asked multiple questions, we will solve the first question for you. If…

Q: Jill burns 100 calories per hour while sleeping, 300 calories per hour while walking, and 200…

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Q: The following differential equation is a Bernoulli equation: 2 dy = y³ where y = f(t) dt t By making…

A: To convert into linear differential equation.

Q: I can't understand your solution.

A: Let's solve given integral.

Q: 4x Find the average value of the function f(x): - 5 Submit your answer as an exact value. Provide…

A: Given problem:- Find the average value of the function f(x) =(4x/5) + 1 over the interval [-1,3].