Sa x5 √x² + 1dx

Q: Evaluate √ (2x - y) dx + (x + 7y) dy. C: x-axis from (0, 0) to (0, -7) and (0, -7) to (3, -7)

A: Let's find.

Q: Evaluate [² (2x − y) dx + (x + 6y) dy. C: x-axis from x = 0 to x = 3

A: C:x- axis:y=0dy=00≤x≤3=∫03(2x-0) dx +(x+0) 0=∫032x dx

Q: Evaluate the definite integral. NOTE: Enter the exact answer. 10 S™ || ti + ²i|dt = 0

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Q: Find all solutions to the equation. cos 2x+1=0 Write your answer in radians in terms of , and use…

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Q: Solve the differential equation y Pemer 6a y5 subject to the condition that y 3 when = 3.

A: Here we have to solve the given differential equation

Q: x5 (2 – x²) 5 dx

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Q: 2ydx + x(x² In y-1)dy=0

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Q: 3. In evaluating the integral S x² dx (x-1)²(x²+1) you will decompose x² dx (x-1)²(x²+1) into…

A: No Partial fraction formula is incorrect. Actually it is, x2x-12x2+1=Ax-1+Bx-12+Cx+Dx2+1Multiply…

Q: @[² (d) √x-x (x² + y²)³/2 dy dx.

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Q: The base of a certain solid is the area bounded above by the graph of y = f(x) = 9 and below by the…

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Q: Given: xe*² + In(x - y) = . Find dy/dx. 2xy(x-1 dy dx 20g/l) ta [1+(v)(22+1} ] x4+x²(x−y) Ody dx…

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Q: '1+tanx Evaluate the integral 1-tanx dx A In sinx-cosx + C B -In cosx+sinx + C C -In cosx-sinx + C D…

A: Here, to evaluate: ∫1+tan x1-tan xdx

Q: Determine the volume of the solid obtained by rotating the region bounded by x=(y-2)^2, the x-axis…

A: Solution is given below:

Q: 3 We were given that = 1²ex dx = @³² = e. 3 3 Therefore, •L²³ ex+ 5 dx = 20²³ [²³ ex α 2e5 dx =

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Q: dy dx +y=e*

A: The standard form of the linear differential equation is; dydx+Py=Q Where, P & Q is the function…

Q: Evaluate [sin2xcos2x, dx 1 Acos4x+C 1 ® - cos4x+C B 1 -cos4x + C Cos 1 -cos4x + C

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Q: Using trigonometric substitution to evaluate * ,5x³√9-x² dx 243 243 45 - 15 (1-x²) ³² + C 243 5 ² (1…

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Q: 2(-3x+1), dx

A: I=∫ 32(-3x+1) 2-3x dx21-3x =t21-3x ln2  ddx(1-3x) dx=dt-3 ln(2) 21-3x dx=dt2-3x dx=dt-6 ln 2

Q: 6.S dx √1+√√x

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Q: While measuring the side of a cube, the percentage error incurred was 3%. Using differentials,…

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Q: 4. (y² cos x - 3x²y - 2x) dx + (2y sin x - x³ + Iny) dy = 0, when x = 0, y = e

A: exact differential equation

Q: Find T(t) and N(t) at the given point. r(t) = 6 cos(t)i + 6 sin(t)j; t = T(-₁) = (53) 3. N(₁) = Z =…

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Q: Jo (2x - y) dx + (x + 5y) dy. C: x-axis from (0, 0) to (0, -5) and (0, -5) to (3,-5) X Evaluate -30

A: Here we have to evaluate        ∫c(2x-y)dx+(x+5y)dy    C: x-axis from (0,0) to (0,-5) and (0,-5) to…

Q: Compute the flux of the vector field F(x, y, z) = 3x + 3yk through the surface S, where S is the…

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Q: Quiz 2.1- Evaluating Definite Integral Evaluate the following and post your answers in the g.…

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Q: Calculate the following derivative if h(w) = √weów¸ (Use symbolic notation and fractions where…

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Q: • [F. dr. Evaluate F(x, y) = xi + yj C: r(t) = (3t+1)i + tj, 0 st≤1

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Q: Evaluate fff (3x + 2y)dV, where S is the solid bounded above by the plane z=4, below by plane z=0…

A: ∫∫∫(3x + 2y) dV=∫∫∫(3x + 2y) dxdydz = ∫z = 04∫y = -13∫x =-11(3x + 2y) dxdydz = ∫z = 04∫y = -134y…

Q: Question Find fy (x, y) for f(x, y) = Provide your answer below: ezy xy

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Q: Use the given derivative to find all critical points off, and at each critical point determine…

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Q: Using Disk Method solution, R is bounded by x-axis, y-axis and the line 2x + 3y = 1. This is…

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Q: Σ (1 + 28) n=1 n =

A: Solution: ∑n=1∞(1+x8)-n is an infinite geometric series with the first term b=1x8+1 and the common…

Q: Teddy got 87% in his Quarterly Assessment for Physical Education and Health. If there are 65…

A: Teddy got 87% in his Quarterly Assessment for Physical Education and Health. If there are 65…

Q: 3. Use Green's Theorem to find the area of the region enclosed by one arch of the cycloid x = t -…

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Q: Determine whether the infinite geometric series is convergent or divergent. If it is convergent,…

A: The given geometric series :35+925+27125+...The geometric series can be written as:an=3535n-1 where…

Q: 13. What is f2sinx cos x dx? 2cos.x A. +C In 2 C. 2cos.x B. +C In 2 D. 14. Which of the following…

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Q: Solve the differential equation with complete solution.

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Q: -The Bernoulli's form of the differential equation 2x'dy-y(y² +3x)dx=0 is

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Q: 4. The Bernoulli's form of the differential equation x'dy+ (2xy-y')dx=0 is

A: Given problem:- The Bernoulli's form of the differential equation x2 dy + (2xy - y3)dx = 0

Q: Solve the solution: (D2 - D - 2)y= cos x

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Q: Differentiate the following without solving for y in terms of x. 1. x² + y2 = 81 2. x²-x-y = 6 3. x2…

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Q: Find the volumes of the solids generated by revolving the regions bounded by the graphs of the…

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Q: 3. In evaluating the integral S x² dx (x-1)²(x²+1) you will decompose x² dx (x-1)²(x²+1) into…

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Q: A rectangular plot of land is to be fenced in using two kinds of fencing. Two opposite sides will…

A: A rectangular plot of land is to fenced in using two kinds of fencing. Two opposite sides will use…

Q: d³y d²y dy+y=0 dx3 dx² dx

A: d3ydx3-d2ydx2-dydx+y=0                (1)LetD=ddxTherefore   equation (1)…

Q: Determine whether the sequence converges or diverges. If it converges, find the limit. If it…

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Q: Kuya Bill is selling 'Bill phones'. If the cost for selling a phones is given by 10000 C(x) = 120x +…

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Q: PS. Evaluate fff(3x + 2y)dV, where S is the solid bounded above by the plane z=4, below by plane z=0…

A: Solving

Q: The gravitational force, F, between an object and the Earth is inversely proportional to the square…

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Q: Use the midpoint rule with n = 6 to estimate the value of the integral (x³ + x)dx.

A: This question can be solved using the concept of mid point rule of definite integrals.