5 If ["f 5 1 [²1(x) f(x) dx = 9.2 and nd [* f(x) dx = 5.7, find f(x) dx.

Q: Evaluate > f zy³dz + z³dy, where C' is the rectangle with vertices (0,0), (6.0), (6,2), and (0,2).

A: To find:- ∮cxy5dx+x3dy Where C is the rectangle with vertices 0,0,6,0,6,2,0,2

Q: (D3 - 2D2 - 5D +6)y=e4x, Find Yp a. 1 24 O b. 1 O c. 1 d. ∙e ∙e e 4x 4x 4x 1 18 O e. none e 4x

A: Given:    D3-2D2-5D+6y=e4x we know particular integral       Yp=1fDQ where Q=e4x…

Q: They say the answer is 3; 2/3 i - j + 2/3 k. (where the first part is the length and the second part…

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Q: Given f(x) = 3x2 + 5 and g(x) = –2x, calculate f(g(x))

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Q: You are driving a car away from home. Your velocity (miles per hour) t hours after noon is given by…

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Q: Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. ·S*· g'(x)…

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Q: Complete the parametric equations for the given rectangular equation. 1 -x+3 (a) Rectangular…

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Q: (D-5D + 8D-4)y = e, Find Y = Yc - Yp 1 Cate -21 2 a. Cetci 2t O b. 2x 2x C₁ et + C₂²1 +C₁₂re ² +…

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Q: 4. Use a linear approximation to estimate tan (47°).

A: Let's find value of tan(47°) by using linear approximation.

Q: 2 cos² (0)=√3 c-

A: Given 2cos2( πθ ) = 3cos( πθ )let cos( πθ ) = u

Q: 2) Graph 1 period of y = -3sin2x + 2

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Q: 7. dx dy 4y - 3x 2x-y

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Q: Find f. (Use C for the constant of the first antiderivative and D for the constant of the second…

A: Given query is to find indicated antiderivative.

Q: In Exercises 61-66, find an equation for each graph. 61. -2# 2# ÄA Af AA 3″ 5m 62. 63. -3m R/C bire…

A: Answer is in step 2.

Q: Calculate the 4th derivative of y = xe*

A: Given query is to find 4th derivative

Q: g(x) = 4x +9|x| 8x - 12|x|

A: g(x)=4x+9x8x-12xx=x,    x≥0-x,  x<0

Q: 3. Consider the piecewise function g(t) = ((t + 2)² +2 t≤0 t+6 t> 0° (a) Does g(t) have an absolute…

A: Let's find absolute maximum or minimum value of g(t).

Q: Divide by g (y) to separate the variables: dy IP fi O dy || gt h = 7/²010 y de 9х = прто

A: ∫xndx=xn+1n+1+cgiven  dydx=x6ypasses through  (1,3)

Q: The function f(x) This function has a local maximum at x = with value = 5x+9 - 1 has one local…

A: The objective is to solve the above question.

Q: Find the mass M of an object in the shape of a right circular cylinder of height 2 and radius 6 if…

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Q: Consider the function f(x) = z ln(z). Let T be the nth degree Taylor approximation of f(2) about z =…

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Q: Match the general solutions to the differential equations. ✓ (D² - 18D+81)y=0 (D²+14D+49)y=0 •…

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Q: What is the best convergence test to determine the convergence or divergence of the following…

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Q: Find po q and its domain given: p(x) = √4x² and q(x) = √3-x

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Q: (D3 - 2D² - 5D + 6)y = e³x, Find Yp O a. 1 10 3x e

A: Given differential equation ( D3 - 2D2 -5D + 6 )y = e3x

Q: lim (cos(2x)) ¹/x²_ +0x

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Q: Let F(x, y, z) = 4xy²i + 2x²uzi - 3uz²k. Find div(F) and curl(F)

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Q: Evaluate the integral. [² f(x) dx where f(x) = = {} if -4 ≤ x ≤ 0 2 -x² if 0 < x≤

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Q: Find the roots of (D4 + D² + 1) +1+√³ 1 ± √√√3 1± √3 2 2 -1 ± √3 2 - 0 1 + −1+ - 1 ± i√√3 2 e. none…

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Q: Find the following indefinite integral using integration by parts. [(3x + =0+c (3x + 9)e* dx =

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Q: ") Triangle ABC is Drawn with a 125cm C= 9.8cm and LA=59' The messure of Lc is? Ⓒ is an angle in…

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Express the limit as a definite integral on the given interval. lim [6(x)3 - 3x,"]AX, [2, 7] n→∞ dx

A: NOTE: Refresh your page if you can't see any equations. . here the given function is  and the…

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) sec³(x) tan(x) dx

A: Evaulate the indefinite integral

Q: Use implicit differentiation to find d2y/dx2 in terms of x and y.  3x2+2y2 = 5

A: The given differential equation is  3x2+2y2=5 We have to find the d2ydx2.

Q: Use Green's Theorem to evaluate SF F.ñ ds, where F = √x + 5y, 4x + 5y) and C' is the boundary of the…

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Q: Question 33 The demand curve for a certain product is given by p(q) = 551-q^2. The supply curve…

A: The demand curve for a certain product is given by pq=551-q2. The supply curve is given by pq=1.3q2.…

Q: Set up the definite integral required to find the area of the region between the graph of y=x²-14…

A: formula for area is A= ∫abf(x)-g(x)dx

Q: Evaluate the integral. [₁² ( 2x + 1) dx

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Q: Find the distance between the two points shown below. 2 1 -1 -2- -3 -4 -5 Distance = A 2 B + Ta…

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Q: Graph the set {xx<-1} on the number line. Then, write the set using interval notation. {x|x<-1}=

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Q: f(x) = sin лx π.χ

A: given function is  f(x) = sinπx⇒f(0)=sin(0)=0and…

Q: (4) Find the volume of the solid obtained by rotating the triangle (2,0)(2, 4)(1, 1) about the…

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Q: 8 If f.° F. '8 +6³ ² f(x) dx = 31 and g(x) dx = 18, find 8 6.² [3f(x) + 5g(x)] dx.

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Q: Find f"(x). 13. f(x) = x² + fr) - r³ 375

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Use the ratio test to determine if the series converges or diverges n 3+2n n In(n) Σ - n=2

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Q: 5. Find the critical points of f(x) = 2x - e and classify using the second derivative test.

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Q: ao= a₁ = a2= a3 = 9. 9- a4 = (c) The answer in part (a) equals the sum of the infinite series in…

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Q: 5. Compute all roots. Indicate the location of the roots on a circle centered at the origin 1/2 (i)…

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Q: (D3-4D2)y = 5, Find Yp O a. 5x² 4 O b. 5x² 4 O C. 5x² 12 O d. 5x² 12 O e. none

A: To find Yp

Q: The midpoint of AB is at (3, 4). If A = (7, 6), find B. B is:

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