Direction: Evaluate the following integrals: a. S 4x3 dx b. S(3x +5) dx

Q: y = vx² – 9

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Q: Find the maximum and minimum values of g(x) =1+ x + x2 + x³ + x4 + x on the interval [0, 2].

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Q: Evaluate the integrals that converge, enter 'DNC' if integral Does Not Converge. -x2 2xe dx

A: Given integral  ∫0∞2xe-x2dx We have to find integral for converges or diverges.

Q: Determine the volume generated when the area bounded by the curves y = sin x and y = cosx from x = 0...

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Q: solve for the unknown terms by the method of: 100 100 100 100 100 4 -1 1 X1 X2 X3 X4 X5 -1 4 -1 1 -1...

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Q: Find the derivative of the function. h(t) = 3 cot-(t) + 3 cot" h'(t) =

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Q: Σ Suppose that ax" converges to a function y such that y" – 2y' + y = 0 where y(0) = 0 and y'(0) = 1...

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Q: 4- -2 -2 2.

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Q: Evaluate the following improper integral. If it diverges, then type 'DNE. Otherwise, find its exact ...

A: The given integral,      ∫33316x-33dx

Q: H.W. 2 Let 1=-2 + 1li, z2 = 2- i. Showing the details of your work, find, in the formx + iy: %3D 1. ...

A: Note:- according to the company policy we can attempt ?️ only three subpart of a question so please ...

Q: volumes of these sol 4 m 4 m 4 m 4 m

A: Note: - “Since you have asked multiple questions, we will solve the first question for you. If you w...

Q: dt 1. cos (2 sin 2r) V1-4r

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Q: that its value V(t), in dollars, after t years, is given by V(t) = 2600e¬0.09t a) What did the drum ...

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Q: If F(x) = f(g(x)), where f(-4) = 5, f '(-4) = 3, f '(4) = 1, g(4) = -4, and g'(4) = 8, find F '(4). ...

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Q: Express 5.55 x 102 as an ordinary number.

A: We need to express given number in ordinary number.

Q: Differentiate f(x) = //2x² 4х + 2 %3D - 02() x-1 2x2-4x+2 x-2 2 2x2-4x+2 x-1 2x2-4x+2 x-1 2 2 2x2-4x...

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Q: Find an equation for the object's displacement, u(t), in feet aftert seconds.

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Q: 7Tt 2. sin - 12

A: Here we have to find the exact value of       sin(-7pi/2)

Q: Compute the following limit. 2х-3 as x approaches o -3 04 01 03 02

A: topic - limits

Q: Afx)

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Q: Let fand g be two functions given by f(x) =x – 4 and g(x) = Vx – 4 , find the range of g of. All pos...

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Q: Evaluate the integral. (Use C for the constant of integration.) cos (a) da J Vsin(a)

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Q: 3. Find the number of paths from A to B, travelling along the lines, downward or to the right.] A B

A: Number of paths from A to B is choose 5 from 11 . That is using combination 11C5

Q: (3y-2 Jdy y+2y+17

A: Topic:- integration

Q: 2x – x* .3 - 1. Evaluate dx. (x – 1)2 (x² + 1)

A: First we take partial fraction then integrate it. 

Q: 5 sin“(3t) dt

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Q: os made. te the cost function for this company. C(z) = te the revenue function for this company. R(r...

A: Given query is to find the cost function, revenue function and profit function.

Q: Find the exact value. 1. cos165°

A: Exact value of  Cos(165) = -0.965925826

Q: Find a linear differential operator that annihilates the given function. (Use D for the differential...

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Q: 12 dr r3 – I

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Q: Solve the given differential equation by undetermined coefficients. у" + у'+ у 3x sin(x) y(x) =

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Q: 1-4 Find the linearization L() of the function at a. 1. /(0) ) - x' - + 3, a--2 2. /() sin x. 3. /(x...

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Q: DOUBLE DECLINING-BALANCE METHOD OF DEPRECIATION Res- taurant equipment purchased at a cost of $150,0...

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Q: COST OF DRILLING A 100-ft oil well is to be drilled. The cost of drilling the first foot is $10.00, ...

A: Given query is to find the cost of drilling the well.

Q: Gauss-Seudel only

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Q: (S(nx)?dx re' 8.

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Q: A company estimates that it can sell 3,000 units each month of its product if it prices each unit at...

A: We need to maximize profit.

Q: For the quadratic function f(x)= 2x² – 24.x+90 (a) Complete the square to put the equation into a(x-...

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Q: f(x+h) = x^2+2xh+h^2-3x-3h compute and simplify. f(x+h)-f(x) =

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Q: Counting techniques (Using permuations or Combinations): How many outcomes are possible if you roll...

A: Given query is to find the number of possible outcomes when we roll 4 dice.

Q: Ax. 19-22 Compute Ay and dy for the given values of x and dx Then sketch a diagram like Figure 5 sho...

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Q: (- 4,3). a) Let f(x, y)= x²y°. Find the directional derivative of f at P(-1,1) in the direction of ū...

A: a)

Q: 17 yd L-11 vd. Calculate The Surface Area of the image above. Surface Area yd 2

A: Given : Given image is of the right circular cone in which radius r=11yd slant height(l)= 17yd   To ...

Q: de 2. eve -9

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Q: 1_dx -1 1-x The integral is an improper integral.

A: We can find the integral as below

Q: Compute the value of the following improper integral. If it is divergent, type D. 1 dx 0.

A: To compute the value of improper integral. 

Q: What is the first derivative with respect to x of the function g(x) = 3/9 9. O 1/2

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Q: 10. What is the equation of the slope of the line tangent to the function, f(x) = * 2 X_sin x´sin(x)

A: topic - equation of tangent of line

Q: Given the vector field F = (r + y)7+ (r – y)7, evaluate it's line integral over the plane curve a? +...

A: Line integral

Q: ydy +4y+11

A: