Question 20 Find the derivative: x²(x² + y²) = y² y = - fo Ov fi P r(2x+y) (1-²) v(22:²-²) x(1+z²) y(22²+²) 2(2x² - y²)

Q: Find the distance from the point (-2, 8, 9) to the line ā(t) = ( − 1, 3, 2)t + (− 2, 3, 9).

A: To find the distance from the point -2, -8, 9 to the line a→t=-1, 3, 2t+-2, 3, 9.

Q: Let f(x) = 0 for x < 0 and f(x) =x3 for x ≥ 0. Match the following. Here DNE means does not exist.…

A: Givenf(x)=0,x&lt;0f(x)=x3,x≥0We need to findf'(0),f''(0),f'''(0)

Q: 1. Find a particular solution to y" + 4y + 4y= 25 cos(t). Solution yp(t) =

A: As per guideline we can solve maximum one question you can repost other question

Q: Find the differential of the function. y = e³x dy = =

A: We have given function  y=e3x dydx=ddxe3x dydx=e3x·ddx3x dydx=e3x·3 dydx=3e3x dy=3e3x dx

Q: Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your…

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Q: Let f(x) = √22 – 3x and g(x) = -5x - 9. • You must combine all like terms before you submit your…

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Q: 27-30 Compare the values of Ay and dy if x changes from 1 to 1.05. What if x changes from 1 to 1.01?…

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Q: 47-48 Simplifying a Difference Quotient Simplify using the 1101 Binomial Theorem. (x + h) ³ - x³ h…

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Q: Evaluate the following integrals using substitution(s): Might want to use your own paper 1. S - x²…

A: According to guidelines we can solve only first question .solution:-(1)∫x31-x2 dxlet 1-x2=t,…

Q: 23-24 Find the local maximum and minimum values of f using both the First and Second Derivative…

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Q: A hamster "runs in place" on a circular treadmill, causing the treadmill to rotate at constant…

A: Number of revolutions in 4 seconds = 1 Diameter = 4 inches

Q: Write Equations of a Line in Space Find the point at which the line 7 (t) = (1, 3, 8) + t( − 2, 5,…

A: Given form of line is r→t=1,3,8+t-2,5,6 We need to find the point where the given line intersect xz…

Q: Given the coordinate matrix of x relative to a (nonstandard) basis B for R", find the coordinate…

A: Solution:

Q: A certain isotope has a mass of 50 grams. It’s half life is 100 days. Write the equation that will…

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Q: A projectile is shot upward from the surface of Earth with an initial velocity of 113 meters per…

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Q: = 2. Find a linear approximation of the function f(x) e at x = 0. Use this to approximate the value…

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Q: Find the absolute minimum of f(x, y) = 5xy - 4x - 4y on the triangular region R that has vertices…

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Q: The function f(x) = sin(x + sin 10x), 0 ≤ x ≤ π, arises in applications to frequency modulation…

A: See the details solution in below

Q: Gandalf the Grey started in the Forest of at Mirkwood at a point P with a coordinates (2,3) and…

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Q: Find the dimensions of a rectangular corral split into 2 pens of the same size producing the…

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Q: Calculate Dot Product (2, 4, 5) and 6 Let a = Find a . b. (5, — 1, — 5).

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Q: Differentiate the following. (a) y = sin(x4) (b) y = sin(x) Solution (a) If y = sin(x4), then the…

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Q: Perform the following operations on the vectors μ = (3,-2), 7 = (0, −5), and w = (-4,-2). ü.w=…

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Q: Find and classify (as a relative maximum, etc) all critical points of j(x, y) = 2x³ + 3xy + 2y³.

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Q: Write the equation: Vertical asymptote at x = −1, double zero at x = 2, y-intercept at (0, 2)

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Q: J. R (x + y) dA where R is the region bounded by y = √x and y = x².

A: The answer is in step 2.

Q: 1. Evaluate the integral f2162+12+0dx. (Hint. You may need to use partial fractions and trigono-…

A: Here we use the partial fraction to compute the integral . see below the answer and calculation we…

Q: Which is larger: a = a>b Oa<b √8.1 -√√8 or b = √√2.1-√√/2?

A: Solve

Q: Consider the function f(x) = x² − 72x² + 5, −5 ≤ x ≤ 13. This function has an absolute minimum value…

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Q: Evaluate the integral by reversing the order of integration. *27 [² 3 6e+4 dx dy

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Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y.…

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

Q: Find the minimum of ƒ(x, y, z) = x² + y² + z² subject to the two constraints x + y + z = 1 and 2x +…

A: Given :- fx,y,z=x2+y2+z2Subject to constraints x+y+z=12x+3y+4z=8

Q: Given the position function s(t) = 2+³ - 2 +² - 60++ 3₂ where it is in seconds and s is in ft, Find…

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Q: A cereal company find that the number of people who will buy one of its products the first month it…

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Q: り wh

A: Given s(t) = 2t3 - 92t2 - 40t + 3 let velocity function = v(t)

Q: Box office revenue at a multiplex cinema in Paris is R(p) = 3600p - 4p³ euros per showing when the…

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Q: A population of a particular yeast cell develops with a constant relative growth rate of 0.4321 per…

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Q: Find three positive numbers whose product is 86 such that the sum of their squares is as small as…

A: Let the three numbers be x, y and z. x + y + z = 86 -----(1) ⇒ z = 86 - x - y ------(2) Product, P =…

Q: Problem 5. Consider the curves y = 4x, y = 1/x and y = 1. (a) (b) Graph all the curves to visualize…

A: Let's graph the given curves and find area of region.

Q: The stopping distance for an automobile (after applying the brakes) is approximately F(s) = 1.1s +…

A: Given;- Fs=1.1s+0.054s2 ft

Q: A population of bacteria grows to twice its original amount in 3 hours. How long will it take to…

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Q: Find the slope of the graph of the function at the given valu 8 f(x) = 4x² + - when x = 5

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Q: EXAMPLE 2 A ladder 10 ft long rests against a vertical wall. If the bottom of the lad- der slides…

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Q: Find the volume V of the solid formed by rotating the region inside the first quadrant enclosed by y…

A: Given that Curve y=x3 and  y= 25xand Rotation about x-axis.Solution :

Q: Find the limit. 3 - 3 tan(x) lim x→→/4 sin(x) - cos(x)

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Q: X = 8 At the end of your work, sketch the graph of 5 x²¹ 2. y 8x8 and 1. y = 3. The tangent line at…

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Q: 15-18 Verify that the function satisfies the hypotheses of the Mean Value Theorem on the given…

A: We need to find values of c.

Q: and x³ and y = √√√x. Find the area enclosed between the curves y = x³

A: We can find the area between the curves.

Q: Find the equation for a polynomial f(x) that satisfies the following: ■ Degree 4 ▪ Root of…

A: The number of times a given factor appears in the factored form of the equation of a polynomial is…

Q: Precalculus express the logarithm in terms of In 2 and In 5 In 2000

A: Here we have to solve the logarithm.