FinD THE arza BOUNDED By THE CURVES : y° +y +Z %3D

Q: Question 9 of 10 q(x) = e" ln x Select the correct response. O e" In x - + eª ln x et +1

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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: Given that y = 3e is a solution of the differential equation %3D y" + 3y' = 0. Then, by using…

A: Follow next step

Q: Question- Let R be the region bounded by x= y-25, and x= 1. Then draw the region and. evaluate the…

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Q: I. Evaluate f V A 4x + 4x + 5dx

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Q: Choose the suitable substitution for the method of reduction of order to find a second solution y2…

A: We have to find the second solution of the differential equation.

Q: 1. Let f(r, y) Find: I+y+1 (a) f(2, 1) (b) f(1,2) (c) f(a, a) (d) f(y+1,y)

A: Let fx,y=x-yx+y+1. Finda f2,1b f1,2c fa,ad fy+1,y

Q: The substance's amount at time t may be modeled by an exponential function. Substance X has an…

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Q: 3. The height, in metres, of an object thrown from a rooftop is given by the equation h(t) = -x? +…

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Q: Use cylindrical shells to find the volume of the solid generated when the region enclosed by the…

A: In this question we have to find volume by revolution of the given curves.

Q: Solve the initial value problem y" - 8y' +52y = 0, y(0) = 1, y'(0) = -3. %3D

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Q: Question 5 of 10 r(x) = cot2(3x2 + 1) Select the correct response -6x2 csc(3.r2 + 1) cot (3.x + 1)…

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Q: N(t) at the given point. cos(t)i+ 6 sin(t)j+ tk; t = 2

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Q: (x3-4) 2. S dx x3+2x2+2x

A: To evalaute: I=∫x3-4x3+2x2+2xdx=∫1-2x2+2x+4x3+2x2+2xdx=∫dx-∫2x2+2x+4x3+2x2+2xdx

Q: 15 / 17 116% C. Directions: Solve for the derivative of the following functions using the indicated…

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Q: uate the integral dx. /1+x

A: Given  jkjbb

Q: Verify Green's Theorem by evaluating both integrals ƏM r dx + x² dy= dA ду Ne for the given path. C:…

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Q: 1. 2) (EF Simplify and find the value of (2) loga-1)2) log a - (2) 1) as a single log 2a1) logarithm…

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Q: 16. Graph the line determined by the two points, and find the slope of the line: (-1,2), (7,8)

A: slope of the line passing through the point  (x1 , y1)  and (x2,y2) is m=y2-y1x2-x1

Q: d d Calculate ri(t) · r2(t)] and [r(t) × r2(t)] first by differentiating dt dt the product directly…

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Q: Solve Nonhomogeneous Equations - Undetermined Coefficients (D^2 + 1)y = sinx

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Q: What is the first derivative of the equation? 2. What is the second derivative of the equation? 3.…

A: Follow the procedure given below.

Q: 2. A closed rectangular box with a volume of 16 ft is made from two kinds of materials. The top and…

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Q: 118 118 Suppose that ) ai = 11 and bi = 3. Compute the sum. 118 I (2а — 22b) i=1

A: The given sum,       ∑i=1118ai=11 and ∑i=1118bi=3

Q: Determine all the critical numbers of the following function: f(x)= x² + 10x+25 a. None of these. b.…

A: Let us consider a function f(x). To get critical points of f(x) we put f'(x)=0

Q: Find the domain of r(t) and the value of r(to). NOTE: Round your answer to two decimal places when…

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Q: dy Solve dx x +y and find the particular solution when y(1) = 1 dy = x – y and find the particular…

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Q: Evaluate the definite integral. e6t i + e¬j +t k )dt O e6 - i - e- 6. + (e* – 1) i – (e-1 – 1) j + k…

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Q: Evaluate ſ _dx V16-x 4-x

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Q: What is the derivative of the function f(x)= In(3x²) ? a. f'(x)= b. None of these. 1. f'(x)= бх rw-…

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Q: Given the following optimization problem: max(500-q)q-50q q*=50 O True O False

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Q: dx II. Evaluate the improper integral J x(Inln x)

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Q: 5- (tanx + secx)2 dx

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Q: Find the area of the surface generated by revolving the given curve about the y-axis. I = 8y +3, 0<y…

A: given x=8y+3

Q: ANSWER

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Q: Find the limit. lim (t i – 3 j + r² k)

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Q: 2-fx'e-2x* dx

A: To evaluate: I=∫x3e-2x4dx Substituting x4=u⇒4x3dx=du⇒x3dx=du4

Q: REPEAT

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Q: A. Solve for the integrals of the following: 3 - dx b) 2+ 3x ST a) dx c) 1+ 2x2 e2a + 1 3

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Q: HimilFind the akeas fak the folfewing regions Area of theregion insidethe circle (r=1)and outside…

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Q: Solve for the volume of the solid generated by rotating the plane bounded by the equations below…

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Q: Solve the following Initial Value Problem using Laplace transform: y" – 9y' + 8y = e-8t ; y(0) = 1,…

A: The given equation is  y''-9y'+8y=e-8t; y(0)=1,y'(0)=1

Q: Directions: Find the derivative of the given function using the limit definitions. 1. f(x) = -3x + 5…

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Q: B. Directions: Determine whether the following functions are continuous on the given interval. x-5…

A: 1).f(x)=x-5x2-x-6f(x)=x-5(x-3)(x+2)⇒Function is discontinuous at x=3 and -2And 3∈(-1,3)Therefore…

Q: Determine the series' radius of convergence and interval of convergence: 00 1) En" x" n=1 E 2"n² x"…

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Q: The critical numbers of the function f(x) = x³ – 6x2 are x = 0 and x = -4. Select one: True O False

A: Given; fx=x3-6x2   As we know that; To calculate the critical numbers of the function, f'x=0.   And…

Q: Find thee inverse function. of fcas_ 2x+3 らメープ

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Q: Use the fact that the volume of a tetrahedron with adjacent edges given by the vectors u, v and w is…

A: The given expression for the volume of a tetrahedron is; V=16u·v×w And The vertices are P-6,7,0,…

Q: The auxiliary equation for the differential equation y" – 4y" – 12y = 0 - is

A: The given problem can be solved as follows:

Q: the exact arc length of the curvex = + 2) trom y 0to y r the exact answer.

A: arc length=∫ab(1+(dx/dy)^2)dx x=(y^2 +2)^(3/2)/(3) dx/dy=1/3*3/2*(y^2+2)^(3/2-1)2y…