∙e 1 In x X

Q: Evaluate the given definite integral. -23 125 th In x

A: let D=∫123lnxxdx

Q: 10. for fx fx xy f₂ y f(x,y)=3x³y² + 4(3x+2y)³ find

A: The given function is;  f(x,y)=3x3y2+4(3x+2y)5 Find the fx, fxy, fy, fyx.

Q: What is the partial fraction decomposition of the function O x+1 x² 1 2x -x-2 2(x²+4) 1 x² x+2…

A:

Q: 3 For the differential equation: (), what is the slope at (0,2)? √2y² +1 O 9 O 1 O

A: The differential equation y'=f(x,y) represents the slope field of the curve y=g(x,y). at any point…

Q: Sketch the region then reverse the order on integration for Sx=0 Sy=x²-6x f (x, y)dydx

A: ∫x=07∫y=x2-6xxfx,ydydx

Q: Integral is convergent or divergent. Evaluate those (c) (d) S 2² 9+x6 dx

A:

Q: What is fxe-* dx ?

A: Consider,

Q: Find all the first and second order partial derivatives of f(x, y) = −8 sin(2x + y) + 9 cos(x − y).…

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Q: A car drives down a road in such a way that its velocity (in m/s) at time t (seconds) is v(t) =…

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Q: If v(t) = -t+2 and d(0) = -3, then d(t) = - + 2t-3. false Otrue

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Q: 3 What is f S₂² 1+1/2² dx ?

A:

Q: How many petals does the graph of the rose curve r=4sin(3θ) have? Enter your answer in the box

A: For the function, r=asinnθ    or    r=acosnθ If n is odd then there are n number of petals. If n is…

Q: For an object whose velocity is given by v(t) = - +4, what is its displacement on the interval t = 0…

A: Given that valocity v(t) = - t2 +4. And interval is t=0 to t=3. We find displacement on this…

Q: Use a triple integral to find the volume of the given solid. The solid enclosed by the paraboloid x…

A:

Q: В (9,-8)

A: We know that the vector= Terminal point -initial point

Q: Consider the equation −5x +9y = 27 A line parallel to the above line would have a slope of A line…

A:

Q: Find the volume of the solid whose base is bounded by the circle ² +² -9 (a circle of radius 3,…

A: To find volume of solid whose base is bounded by the circle x2+y2=9,whenthe cross-sections…

Q: A projectile is fired vertically upward into the air; its position (in feet) above the ground after…

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Q: Find the average value of f(x) = sint over the interval [0, π]. O 0 01/ O O2

A:

Q: 5. Evaluate 3x 4e³x -dx 3x e³x +1 S-

A: given integration ∫ 4e3xe3x+1dx

Q: What is the compound interest if $110,000 is invested for 6 years at 8% compounded continuously. If…

A:

Q: Determine and sketch the domain of the function f(x,y)=√xy.

A: f(x,y)=√(xy)

Q: Scot³ (x²) csc² (x²)x dx Туре u u |

A: To evaluate the following integral. ∫cot3x2 csc2x2 x dx

Q: Find the area of the surface generated by revolving the curves about the x = sin t, y = 1 + cos t, 0…

A:

Q: -10 x f(x) 10 10 Use interval notation to determine where f(x) ≤ 0. (0,1) 10 Use interval notation…

A: A graph is given and we need to find out the intervals.

Q: MATCHING LIST Match each pair of vectors with their dot product. v = 6i + 7j and w = -8i + 9j v=3i -…

A: (a) given v=6i+7j and w=-8i+9j

Q: FIND THE INTEGRAL BY THE METHOD INDICATED: Notes: By Parts formula: 1. (BY PARTS) udv= = uv -Svdu […

A: The given integral is x(x-3)4. Integrate the integral by parts formula.

Q: Find the area under the line y = 4 - 2x bounded by y = 0 and x = 0.

A:

Q: Use implicit differentiation to find дz дх дz ду || || 9yz + x In(y) = 22 z2 X дz дх and дz ду

A: By using the implicit differentiation to find ∂z∂x and ∂z∂y. 9yz+x lny=z2

Q: F. dr. For example, the in Sc F. dr where =tb (1)'4- ((1)) 16.2 EXERCISES 1-16 Evaluate the line…

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Q: Write out the first five terms of the sequence, determine whether the sequence converges, and if so,…

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Q: 5 430 X 32°

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Q: What is fxe- dx ? -x Oxe xee+C Ox²e-2x 2 + C X -xe-* — e * +C x² e-x 2 + C

A: Consider,

Q: If you want to earn 13% annual simple interest on an investment, how much should you pay for a note…

A:

Q: For the region bounded by the graphs of the equations, find the volume of the solid generated by…

A: The region bounded by y=sinx ,y=0,x=0,x=π Graph

Q: What is the value of c > 0 that maximises the function h = ln(c) — ct, where t is a positive…

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Q: Given that v = (0, -2) and w = (5, -8), what is w - v? A (5,6) B (5,-6) C (-5, -6) D (-5, 6)

A: Explanation of the answer is as follows

Q: Suppose that fx cos(x²)dx = G(x) + C = F(x). Determine the constant of integration C if F(0) = 2. 0…

A: Given Integral  ∫xcos( x2 )dx∫xcos( x2 )dx = G( x ) + C Given condition F( 0 ) = 2

Q: Using row operations, find the inverse of this matrix. 1 -2 -61 [6] 01 5 001

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Q: Approximating the integral de by using the Trapezoidal rule and using, integral of: O 135.5 O 137…

A:

Q: Evaluate the integral. (Use C for the constant of integration.) [si sin³(y) cos(y) dy

A: NOTE: Refresh your page if you can't see any equations. . use the formula:  sin2x=1-cos2x

Q: Find the area of the specified region. Inside the limacon r- 8+4 sin @ O 72m+ 64 O None of the other…

A: To find the area inside the limacon r=8+4sinθ Graph

Q: 2. For each problem, find the length of the curve. (a) y = (e+ e-*) on the closed interval 0 ≤ x ≤…

A: Solving the problem

Q: 6. Are the following expressions meaningful? Answer yes or no next to it. a. axb.c b. a. bxc I c. dx…

A: Given that  a→×b→.c→a→.b→×c→d×a→To determine the expressions are meaningful or not

Q: The graph of a function f is shown. O O Does f satisfy the hypotheses of the Mean Value Theorem on…

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Q: Compute the improper integral DNE 1 e e e 1 x ln(x) -dx if it exists. If not, select DNE.

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Q: What is the area between the curvey and the x-axis on the interval from [0, 2]? O 128T OO CAT 128 7…

A: The given curves are: y=x6   and   x-axis  on the interval  0, 2

Q: 1. Given the following vector in 2D 100 m [E10°S], Determine the following: a. Another vector that…

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Q: 1 cotx ln sinx|dx x In [ x Ja 2 1 2

A: To find, ∫ cotx2lnsinx2dx Let I=∫ cotx2lnsinx2dx We know that cot(x2) = cos(x2)sin(x2). Therefore…

Q: Find a function f(x, y, z) such that V f = (8z, 4y³, 8x). (Use symbolic notation and fractions where…

A: Given that :-       ∇f=8z,4y3,8x  ⇒∇f=8zi^+4y3j^+8xk^  ....(1) Now we know that…