Q2: Solve the following integrals: (3) dx

Q: If the L[ eatsin3t ] = a/( s² + bs + 42), determine the value of b.

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Q: The curves y = 2x - x 2 and y = 3x2 - 6x are used to form the boundary of a thin plate of uniform…

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Q: Given the equation 5 sin 6xy = 3, evaluate dy Assume that the equation implicitly defines y as a…

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Q: Evaluate the function at the given values of the independent variables. Simplify the results. g(x,…

A: We can solve this as follows:

Q: a. Use the definition mtan lim - h h→0 b. Determine an equation of the tangent line at P. f(x) = √5x…

A: topic- equation of tangent line to curve

Q: The pH can be calculated using the equation pH = -log(H"), where H" is the hydronium ion…

A: We can find the hydronium ion concentration as below.

Q: (A): Solve the following linear equations by Cramer's rule: x + y + 2z=1 2x-y-z = 0 = 4 x +2y-z

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Q: Describe the domain and range of the function. g(x, y) = x√y

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Q: 1.4 Assuming that C₁ Cos (wot) and C₂ Sin (wot) in 1.2 are two independent solutions of the SHO…

A: It is given that C1 Cos( W0t) and C2 Sin(W0t) are two independent solution of the SHO differential…

Q: 4. What is the length of the latus rectum of the ellipse whose equation is + = 1. 16 25

A: Latus rectum of an ellipse is a straight line passing through the foci of the ellipse and…

Q: Find the antiderivativef e* sinxdx A.je*(sinx – cosx) + c C. e*(sinx — cosx) + c Find the…

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Q: Which of the following describes the graph of h(x) = −3(x − 1)²(x + 1)²(x + 2)? O-12 O -10 -0 -4 -12…

A: see below the answer and explanation

Q: Find its length over the given interval. (Round your answer to four decimal places.) (No Response)

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Q: x² + ax − 2bx - 2ab-x³-2ax² - 2bx² dx x² + ax³ - 2bx³ - 2abx²

A: The given integral is  ∫x2+ax-2bx-2ab-x3-2ax2-2bx2x4+ax3-2bx3-2abx2dx To evaluate the integral.

Q: 2A)Matrix A = 12 2₁ B = B = [₁ ²2₁ find AB. -21

A: Note:- Please repost part B because unable to understand  right side of differential equation…

Q: The stopping distance for an automobile (after applying the brakes) is approximately F(s) = 1.1s +…

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Q: 5: Find the volume of the solid which is generated by rotating the region bounded by y=√x, y=x-2 and…

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Q: 3. The marginal revenue function has x measured in years and MR(x) in hundreds of dollars per year.…

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Q: If we use the secant method to find the root of the function 0 = sin x, then one of the following…

A: This is a solving of roots by secant method problem

Q: 1. Find the equation of the circle passing through the points (1, 5), (-2, 4), and (10,-2).

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Q: S dx x² √√9-x² 2

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Q: 2 The function f(x) ==, x0, is one-to-one. X Find an equation for f(x), the inverse function. ...…

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Q: 2. 3. ત્ર 6 -1 cos²2x dx X - dx

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Q: Find the cross products uxv and vxu for the the vectors u=2i-j-2k and v= i +3j-2k.

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Q: SULWAY 5. x- 7. dx 9. dt In Problems 7-16, obtain the general solution to the equation. dy -y-e³x =…

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Q: 3 여 x 3

A: Given: 121-111231X=0-21

Q: Example Two tanks T₁ and T₂ each contain 100 gal of water each. In T₁ the water is pure, whereas 150…

A: AS WE KNOW THE GENERAL FORMULA IS dy1dt=inflowminconcentration of…

Q: 3. xdx (x²-7)

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Q: The velocity function the time interval [-3,5]. article moving along a line. Find the displacement…

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Q: a. For the following function, find f'(a). b. Determine an equation of the line tangent to the graph…

A: Given:

Q: 1. y = Arccos 1-x

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Q: Think back to early in the semester when the weather was cold and often snowy. Imagine that in a…

A: Concept: Here we have the height of the mound is 24 inches (h) And the base of the mound is 36…

Q: 9. -1 2x xe dx

A: We have to find out solution of integral

Q: 11, 0-20² 2. 3. चं 5. T S cos 2x dx sin(²³) cos²(:-) / dx 2x-1 4x dx dx 6. 7. 8. S [² (x² + 0²³) dx…

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Q: 3. 3 1 S (2x - 4y)dydx 1 -1

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Q: A-Find the intercepts, the symmetry for the polar equation r = cos20 am draw it.

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Q: Describe the domain and range of the function. F(x, y) = 5x² - y Domain: 0 {(x, y); x = 0} 0 ○ {(x,…

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Q: Suppose the speed of a car approaching a stop sign is given by v(t)=(t−13)2​, for 0≤t≤13​, where t…

A: The given data is: vt=t-132, for 0≤t≤13 (a) Find v'7

Q: The equation u = 2uxx is O an ordinary differential equation in two variable: t and x O a partial…

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Q: 10.¹ (3x² - y²) dx + (xy − x³y¯¹) dy = 0 2 du

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Q: 1.)fx²cos²2xdx; Evaluate using integration by parts

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Q: 4. C(x-xxx

A: 4. ∫-342x5-3x4+4x3dx Note:    Multiple questions are given, we are answer only one question. If you…

Q: The amount of a radioactive substance, y, decays exponentially such that its half-life is 8 days. In…

A: topic- differential equations

Q: y = sin(x), y = 0, x = 0, x = Exercise (a) the volume of the solid formed by revolving the region…

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Q: Find the mass and the center of mass of the lamina with density 8(x, y) = √y x² +1 the rectangular…

A: We have the following formulas(i)  Mass of a region m=∬δ(x,y)dA, where δ(x,y) is the density and dA…

Q: Find the Taylor polynomials of orders n = 0, 1, 2, 3, and 4 about x= xo and then find the nth Taylor…

A: Taylor series of function fx at a is defined as:…

Q: If R is the region bounded by the graphs of the functions f(x) = 2 + 5 and g(x) = x + ½ interval [1,…

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Q: Consider the following situation, which involves two options. Determine which option is less…

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Q: Given f(x) = 3x² Rn = 6, find a formula for Rn on the interval [2, 5]

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Q: Set-up and evaluate the triple integral for the mass of the box 1≤x≤2, 1≤y≤16, 0≤z≤ with √√y density…

A: To setup and evaluate the triple integral for mass of the box.