of cos 2 2 sin 0) de has the form 1 -F 4 sin lue of 0 to make F(0) =0?

Q: The solution of the non-exact differential equation 2ydx + (3y- 2x)dy = 0 is O (2y/x)+Iny=c O (2x/y)...

A:

Q: Consider f(x)=ax+xln⁡(bx) for a>0a>0, b>1b>1, and x>1x>1. Find f′(x)f′(x): f′(x)=f′(x)= ------- Bas...

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Q: sinx sinx + The integral cosx - e dr may be written as „nsinx me +px+qe* where m, n, p, q. r, and C ...

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Q: Match the quadratic function with its graph. (x) = x- 2)2 y 10 -5 10 10 5

A: Given query is to find the graph of the quadratic function.

Q: Find the area bounded by the curve y²=4x, the lines x =1 and x=4. 21 (A sq. units 63 B) sq. units 56...

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Q: Given cost and price​ (demand) functions C(q)=100q+42,000 and p(q)=−1.9q+850​, how many items must...

A: Given query is to find the number items to be sold to obtain the maximum profit.

Q: find lim f (x), if it exists. 1– cos z 59. ƒ (æ) = Answer + sin z 60. ƒ (x) = e" – 1 61. ƒ (z) = %3D...

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Q: Given Cost and Revenue functions C(q) ) = q° - 11q +57q + 5000 and R(q) = - 3q + 2600q, what costs s...

A: Given problem:- Given Cost and Revenue functions C(q) =q³-11q² +57q+ 5000 and R(q)= -3q² +2600q, wha...

Q: 1+2n 4) De termine whether the serics Converges 37 diverges. If it converges, find its Sum. A) 2 c) ...

A: Given:     ∑n=1∞ 1+2n3n

Q: Write the standard form of the quadratic function that has the indicated vertex and whose graph pass...

A: We will use the concept of standard form of parabola as a quadratic function to solve this problem.

Q: 1. у %3D х3 — х?cosx + 2xsic 2 sin x – 1 2. у%3D cosx+ 2 3. tan(xy) + xу %3D 0 4. у %3D хсоsх

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Q: 4. Consider the surface S parametrized by R(u, v) = (uv, sin u, cos v). Find an equation for %3D the...

A: The given curve S is parametrized by: R→(u,v)=uv,sin u,cos v Now, to find the equation of the tangen...

Q: 2. Given the integral dy dx, Sketch the region of integration, reverse the order of integration and ...

A:

Q: f. Find the area bounded by the curves y=x^2+6x and y=3x. Give exact answer.

A: We can find area of the given region as  Follows  

Q: se L'Hopitals's rule to find lim xIn(e* – 1).

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

Q: sinx sinx +x Cosx - e +e The integral / dx may be written as me' ,nsinx + рx + qe^ + C, e sinx where...

A: Given query is to find the integral and value of constants.

Q: 5x2 + 3x – 4 If h(x) find: 4 – 5x = (x),4

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Q: Solve this differential equation: dy 0.07y(1- dt 600 y(0) = 5

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Q: If F(x) is an antiderivative of x2 + x1, then what is the value of F(1) - F(-1)? O -2 O -1

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Q: Find the centroid (a, j) of the region bounded by: 7а? + 5a, у — 0, г %3D 0, and x = 9

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Q: Differentiate the functions: 1. y = 3x – Vx 2. y = 2 – 3x – 3. Given the function f(x) = x³ – 5x + 2...

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Q: If F(X) is an antiderivative of *-2 + x-', then what is the value of F(1) - F(-1)?

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Q: Mr. James had written two math tests. First test was worth 25% where he scored 40 marks out of x and...

A: topic - weighted average

Q: A vector function is given as A = R3R cos() What is the numerical result of fy (V A)dv over the hemi...

A: Solution

Q: Find the derivative of y = csc¯(In sin (x))

A: use simple integration formula.

Q: Section 4.1 p. 363/365 # 40 Solve the following initial-value problems starting from y(t = 0) =1 and...

A: We have to solve the initial value problem and draw solutions.

Q: Which of the following integrals represents the volume of the solid obtained by rotating the region ...

A:

Q: Use an appropriate test to determine whether the series given below converges or diverges. 00 In (n ...

A: We have to find if the given series converges or diverges.

Q: The integral of the function below may be written as me" sin(x) + px + qe"* + C. Where m,n, p, q,r a...

A: Solution is here

Q: Describe the graph of the function. ) (x- 3)2 +7 O parabola opening upward O parabola opening downwa...

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Q: Which of the following is an improper integral? In3e A xe COSX dr хе -2 S In(x++1) dx В dx 2x + 8 D ...

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Q: If C(t) = 71.6t e -0.4t ng of a drug in a person's system t hours after the drug is administered, wh...

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Q: The Taylor series expansion is given by: 00 (-1)" sin x= 2n +1 (2n + 1)! n= 0 Evaluate sin 44° using...

A: We will find all the asked values using Taylor series expansion as following.

Q: S- 10* dx may be written as AlnlsecRx1 tanB*+ C: where A, B, and C are constants not equal to zero. ...

A:

Q: iven Cost and Revenue functions C(q) = q° - 10q“ +51q + 5000 and R(q) = - 3q“ + 2600q, what quantity...

A: Given query is to find the quantity to minimize the marginal cost.

Q: e* What is the integrable form of dx? e* – e ¯* A (u²– 1) ² du (в du D

A: The given integral is: I=∫exex-e-xdx=∫exex-1exdx=∫e2xe2x-1dx=∫exe2x-1dx

Q: - -r(0)+c The resulting integral of sin-cos-sino de has the form +C. What should be the value of a t...

A: We will find the value of theta. 

Q: et cos(t) Ry = e' sin(t) for 0 <t < 5 Find the length of the curve (Hint: You can simplify the integ...

A:

Q: You record the temperature every hour from midnight until​ 8:00a.m. You see that the temperatures​ (...

A:

Q: Find the linearization of y = eV3x у at x = 64. (Use symbolic notation and fractions where needed.) ...

A: topic- linearization of a function 

Q: The number of hits on a certain website (in thousands) is approximated by f(x) = 70 e 0.1769x where ...

A: The number of hits on a certain website is f(x)=70 e0.1769 x, where x=0 corresponds to 2000.

Q: Question 2 Write a Riemann sum corresponding to the following definite sin x xp- 1+ x5

A:

Q: 7. Find the volume of the solid formed when the graph of the region bounded by y = e, x = 0, x 2, an...

A: We use the formula for volume=π integration of y2 from x=a to x=b.

Q: 5 Find the lateral (side) surface area of the cone generated by revolving the line segment y = x, 0s...

A: If the curve y = f(x) , a≤x≤b is rotated about x-axis, then the lateral surface area is given by    ...

Q: 1 x² + 10x + 41

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Q: 5. y = xArctanx - In V1+x 6. y = In (e* + e*)

A: topic-second derivative of a function

Q: Use sigma notation to write the sum. 20 Σ j- 1

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Q: 30. The radius of a puddle is claimed to be 12.0 inches, correct to within 0.01 inch. Use linear app...

A: This question is related to error and approximation, we will solve it using given information. 

Q: (6) Suppose the closed curve C in R? starts at the point (-1, 1), goes along the parabola y = r? to ...

A:

Q: Your are driving away from Tulsa. Your distance​ (in miles) away from Tulsa x hours after​ 12:00 n...

A: