Use the functions x) and gtx) to find the specified function. x) +3 9(x) - 4x - 1

Q: If w 5x2 + 2y2, x = -3s+t, and y = s – 4t, find in terms of s and t. Provide your answer below:

A: Given:   w = 5x2 + 2y2     x = -3s + t      y = 3 - 4t

Q: 3. The cost (in dollars) of producing x units of a certain commodity is C(x)=100+50x-0.02x (a) Find ...

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Q: Classify the series as absolutely convergent, conditionally convergent, or divergent. (– 1)* Σ k=I V...

A: The given series,       ∑k=1∞(-1)k6k(k+1)

Q: 4. Suppose that f(4)= 2, g(4)=5, f'(4)=6, and g'(4)=-3. Find derivative h'(4) in (a) - (d). (a) h(x)...

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Q: Find and sketch the domain of the function. f(x.y) = Vy – 4x – 5

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Q: 1. .f(x) = [(x² – 9)Vx + 2]°

A: As per our guidelines we are supposed to answer only one question.kindly repost other question as a ...

Q: dx x2 – 64 First, rewrite this with partial fractions: S, da = f 1/(x+8) dx + [ 1/(x-8) dr = log(x+8...

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Q: とマ ans oPパマ

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Q: Indefinite integral (1/((x^2)-6x+b)dx How could I calculate the b value using u-substitution and the...

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Q: To test the series e -7n e for convergence, you could use the Integral Test. n=1 Find the value of 7...

A: We can answer the question as below.

Q: Solve the differential equations using variation of parameters 1. (D²+1)y= sec³x

A: Given differential equation:D2+1y=sec3x Concept used: Variation of parameters.

Q: Sketch the curve by using the parametric equations to plot points. Indicate with an arrow the direct...

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Q: Question 2 · „] Let a be the vector (2, -3, –1) and b be the vector (6, -2, 3). Find the projection ...

A: Topic = Vector

Q: Evaluate the indefinite integral sin' t cos tdt %3D + C

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Q: decomposes at a rate proportional to the amount of A present. a) Write an equation that gives the am...

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Q: For dy/dx = y2-3y classify the critical points as asympotically stable, unstable, or semi stable

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Q: The decay rate, k, for a particular radioactive element is 2.4%, where time is measured in years. Fi...

A: Given k = 2.4%   Use formula N(at t ) = N(intial)e^(kt)

Q: (x-2y++)dx + ( 2xーy+2) dy =o 2. ー1

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Q: Question 5. , Which of the following statements is true about the lines L1 : x= 4 – 2t, y = 2+ 2t, z...

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Q: A species is considered to be endangered if it is expected to be extinct within 20 years. A populati...

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Q: 4. Suppose that f(2) = 16 and that f'(x) 2 – 3 for all x in the interval [2,7]. Determine the smalle...

A: 4.f(2)=16 and that f'(x)≥3 for all x in the interval 2,7

Q: tan (t) dt. Evaluate cos® (t)

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Q: Question 6 *| Let r(t) = 5i +*j-²k. Find the tangential component of acceleration (ar) of r at time ...

A: Here is solution

Q: Determine the sum of the following series. NOTE: Enter the exact, simplified answer as improper frac...

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Q: The points (-1,3) and (0,2) are on a curve, and at any point (x,y) on the curve d²y/dx² = 2 - 4x. Fi...

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Q: 3. Below is the graph of y = f'(x), which is the derivative for some function f. Using the graph of ...

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Q: Find the volume of the solid generated by revolving the region bounded by the given lines and curves...

A: If the region between the curves y=f(x) and y=g(x) and f(x)≥g(x) is rotated about the y-axis from a ...

Q: · y = sin(cos 3x) – sin x cos 3x

A: Given : Y = sin(cos3x) - sinx.cos3x Let's differentiate:  

Q: Stan (y-t0) dy ( α年

A: Our Aim is to evaluate the integral given below:-∫tan y-π4 dy-(i)

Q: 11. y x Sin x + (1 -x) Cos x Oa. x Sin x+ 2x Cos x b.x² Sin x ©* Sin x dxSin x+ 2 Sin x

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Q: x + 3x – 1 lim V4r6 – 2x エ→ーx 2.r

A: We have to find limit

Q: y(2x³ -x²y + y³)dx – x(2x³ + y³ )dy = 0

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Q: If f(x) = 4+ - find f'(x). 3.

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Q: 3 x+V X dx 6. 4

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Q: Let f(r) 3 sec(5z) %3D f'(x) =

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Q: (1) Which is the correct formula for finding the derivative of the product of two functions? O (fg) ...

A: (1) We have to determine the correct formula for finding the derivative of the product of two functi...

Q: Let R be the three-dimensional region described by 0<r<1, 0<0<, 0<z<1, which corresponds to a portio...

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Q: Using integrating factor, solve  dy/dx - 3y = 6

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Q: The population of a city is 140,000. The city declines continuously by 4% per year. ...

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Q: A company produces computers. The demand equation for this computer is given by p(q) = - 5q + 6500. ...

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Q: -r. r drd0

A: We have to solve the integration                                                      ∫0∞∫0∞e-rrdrdθ

Q: Consider the parabola given by y = x² + 1. a) Use Lagrange's method to find the point on the parabol...

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Q: Given the function f(z) = 3z2 f(z +h)-f(z) Find the difference quotient h f(z + h)- f(x) Find f'(z) ...

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Q: 8. 12. If y = then what is ? x+4 dx dy = 4x(x + 4) dy C. dx -4Vx + 8 dx dy dy = -4(x + 4) d. dx = 8V...

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Q: sin 4xdx = 2(sinx)? -2Csinx)4 tC %3D

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Q: The table gives the motor vehicles registered in the United States, C = f(t), in millions,23 in the ...

A: We have to find (a) f'(t) and f"(t) appear to be positive or negative during the period 2011-2017? (...

Q: (Don't forget to include the constant of da x + 3 antidifferentiation C) Evaluate

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Q: Indefinite integral (1/((x^2)-6x+b)dx How could I calculate the b value using u-substitution and arc...

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Q: Determine whether the alternating series converges. 5ln k k k=3 O The series diverges. O The series ...

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Q: Evaluate the function at each specified value of the independent variable and simplify. (If an answe...

A: Given query is to find the value of the function at indicated points.