Sx5 V16x6 – 24.x3 + 9 dx

Q: Write the partial fraction decomposition of the given rational expression. (x- 3) (x + 5) What is…

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Q: Find g(x) given that g'(x) = cos x and g(π/2) = 4.

A: Given; g'(x) = cos x and g(π/2) = 4.

Q: b)I bounded by y 2 0, z 2 0, x > 4z, and 16 > x + y. Evaluate the following triple integral: Let E…

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Q: You will calculate L5 and Ug for the linear function y =16 – 5 z between z = 0 and z - 2. Enter Az…

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Q: seParable 5い / / とll y=2メJタ! 4 xx

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Q: 6- Use Newton-Raphson method to solve the system x3 + y - 1 = 0 y3 – x +1 = 0 with the starting…

A: answer is in next step

Q: 7. Let E be the region in R enclosed by the cone z = Va2 + y? and the paraboloid z = a2 + y?. Then…

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Q: Consider that, we have the following initial value problem: 1 y' =-y+y). 1sts2 y(1) =-1; Use Taylor…

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Q: log-(cot 1x) lim 1- cosh(2*)

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Q: Find k such that the vertical line =k divides the area enclosed by y= Vx y=0 and x=5 into equal…

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Q: Solve fx² In(x) dæ using Integration by Parts. Use u = In(x) and v = x?. Answer:

A: Topic = Integration

Q: 3. Find the value of the directional derivative at the particular point Po for the given function in…

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Q: S (e7z +8) dæ

A: LetI=∫ (e7x+8)dxWe apply the Sum RuleI=∫ e7xdx+∫ 8dxI= e7xddx(7x)+ 8xdx+CI=17e7x+8x+C∫…

Q: бу + 4z Зх + Зу = -24 %3D -6 %D 2x 3z = 4 (х, у, 2) -

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Q: Find * L(sin? at) 2

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

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Q: Next question Solve the system. Use any method you wish. x? + 2y? = 29 4x2 - y? = 10 What is the…

A: We need to solve system of equation.

Q: DUseThe Runge-Kutta Method SoNe the: dy X(i+メ)yco)=3 hこo.2

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Q: dy yt + 3y2 +1

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Q: -dx 8a2+5

A: We know that integration of (1/x) is( lnx + c) .     Here i attached the solution of this question.

Q: I want to research any topic of operations research

A: Linear programming is an optimization technique to solve systems of linear constraints with a linear…

Q: EXAMPLE 4 Solving an Equation (Complex Roots) Find all complex number solutions of x' –1=0. Graph…

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Q: Given the curve x = 2 y – y´ and the line x = 0 Find the ordinate of the centroid y of the region…

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Q: 1 dy J yi + 3y² + 1

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Q: 1. Evaluate the following integrals. 3r5 (a) / dr V2 – x3 2" + e2" sin(2") sin(2=) dx 2x +3 (c) / dx…

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Q: dy olve the O.D.E’S y + 4 = 2x using separable of variables. dx

A: Here is the solution:

Q: 2 cos 2" da 10. In 2

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Q: The interval on which the graph of f (x)= cos 2x, xE 0,7 is concave up is: %3D 37 (A) t 37 4 4 (B)…

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Q: Consider the function f (z) = es: Show that if f (z)is purely imaginary, then 2n +1 T, n = 0,±1,±2,…

A: Complex function

Q: Ed has a rectangular garden along a bank of a river. He plans to enclose it with a fence with a…

A: Note: The area of a rectangle A = length × breadth = xy

Q: Which test is most appropriate for In(n+4) series: 2 n =1 n*+2? b) series is convergent or…

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Q: B. A certain culture is able to sustain 100 colonies of bacteria. Initially, there were 10 colonies…

A: We need to find colonies after 24 hours.

Q: What are the intervals on which the graph of the function f(x) = x +2x+1 is concave upward? O a.…

A: Option (e) (-∞,-1) and (0,∞)

Q: (a) Use the Second Derivative Test to find the local extreme values of the function

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Q: Find the radius of convergence and the interval of convergence of the series. (-1)" (2n – 1)2" (x –…

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Q: Identify whether the statement represents an exponential function. The value of a coin collection…

A: Rate of value increased=3.25Time=20 years

Q: (x-4)2 (y+1)² Problem #4: Find the slope of the line tangent to the conic section 16 = 1 at (4,6)).…

A: We can find the slope to the conic section at the given point as below.

Q: 8. dx x² + 36 0.

A: The given integral,        ∫08x3x2+36dx

Q: Solve f 8x cos(7x) dx using Integration by Parts.

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Q: Along the curve r(t) =ti-j+ť k, 0sts1, evaluate each of the following integrals a. (x-y+z)dx b.…

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Q: السؤال 3 -Sec2 (). dx tan (5). · dz O ). de tan tan . da O ). dz O tan

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Q: Find the volume of the solid formed by revolving the region bounded by the graphs of y = x2 + 1, y =…

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Q: FIND THE LENGTH OF THE CURVE y = In sec X from X = 0 to X = - 4

A: Given curve is y= lnsecx .  We have to find the length of the curve from x=0 to x=π4. Length formula…

Q: 8 +3 dx Vx2 + 36 t,

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Q: Find the slope of the line tangent to the conic section 25 (x+3), (y+2)² = 1 at (3,8). 36

A: We find the slope of tangent to the given conic with the help of calculus .

Q: 25 1 21

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Q: Write the augmented matrix of the given system of equation X+y-z = 8 3x – 4y = 2 5x + 2y - z = 4 The…

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Q: 1 log3(r – y)*

A: Given; fx,y=1log3x-y   As we know that; The Power law: ddxxn=nxn-1 The Chain rule: fgx'=f'gx·g'x And…

Q: Let f: R->R be a continuous function that is convex on (-∞), 0] and [0, ∞)) and has a local maximum…

A: We have to show that function f is not differentiable at the point 0.

Q: Findl the value of s hux? + Hx t 5 dx

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