22 (1 + x)*

Q: Determine the average value of the piecewise function f defined below on the interval x = 0 to x = 3...

A: This question can be solved using the concept of definite integral.

Q: Find dy/dx by implicit differentiation. 8x3 + x?y - xy3 = 2 dy/dx =

A: Solution: 8x3+x2y-xy3=2

Q: 1- x evaluate the improper integral dx. Does it converge V1 – x2 diverge? Justify your claim.

A:     ∫-111-x1-x2dx=∫-1111-x2-x1-x2dx=∫-1111-x2dx-∫-11x1-x2dx=arcsinx-11-0=π

Q: Given vector u (1, 1) and v (6, 2) , determine the value of V + 2u in component form.

A:

Q: Find the area of a sector of a circle with a radius of 5 ft with a central angle of 4

A: Given query is to find the area of the sector.

Q: Let f be a function such that xf 2) dx = 12. Write an -6 equation that can be inferred involving the...

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Q: The functions f and g are continuous and differentiable with g' (x) = f(x). Selected values of the f...

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Q: t cos 412 dt

A: We have to solve this integration.  I am using substitution method. 

Q: cos? t sin t dt

A: Here we have to integrate the given integral.

Q: 3. у %3D С1 е2х e2x sin3x cos3x + C2

A: In this problem we eliminate C1 & C2  by differentiating  y with respect to x and forming Differ...

Q: A baseball diamond is a square, 90 feet on each side. The instant a runner is halfway from home to f...

A: Rate of change

Q: Set up a definite integral that represents the shaded area. y foo A fxdx

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Q: Sand is pouring from a hole at the rate of 25 cubic feet per second and is forming a conical pile on...

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Q: A particle travels along the a-axis such that its velocity is given by v(t) = t04 t = 2.5. Determine...

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Q: Convert the angle from radians to degrees. 0 = 4

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Q: Give the first four nonzero terms of the series about x = 625 representing the function f(x) = v

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Q: s2 - 265 - 47 Y(s) (5 - 1)(s + 2)(s + s) %3! 1. Use Partial Fractions to break apart the large fract...

A: Topic:- calculus

Q: find A-1 using Gaussian elimination and check the resul 3 -2 [1 1) A = |1 2 4. 27 1 1 Ans: A-1 = -2 ...

A: Explanation of the answer is as follows

Q: Use the table below to find: (f o g)(10) = (go f)(7) = %3D %3D (f o f)(2) = (9 o g)(9) = || -9 -7 -4...

A: Use the table 

Q: Find an equation of the plane with the given characteristics. The plane passes through the points (4...

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Q: Make a substitution to express the integrand as a rational function and then evaluate the integral. ...

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Q: Given the following differential equation and its initial conditions y" - 10 y' + 9y - St with y(0) ...

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Q: Consider the function 9(x) = (3x + 5)*2 %3D Which of the following expressions would we use to deter...

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Q: Use implicit differentiation to find an equation of the tangent line to the curve at the given point...

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Q: (A) Estimate the area under the graph of 5 f(æ) = - from x = 1 to x = 6 using 5 approximating rectan...

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Q: 3. The cost C of manufacturing transformers in a factory varies with the output N per day according ...

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Q: b. g(b) Use the Substitution Formula, f(g(x) • g'(x) dx = | f(u) du where g(x) = u, to evaluate the ...

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Q: Find f'(x) and find the equation of the line tangent to the graph of f at the indicated value of x. ...

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Q: Given vectors u = (-6, 5) and v = (1, –4) , find the difference V – u and represent the difference g...

A: Vector

Q: Determine whether the planes are parallel or identical. -5x + 3y - 8z = 5 15x – 9y + 24z = 14 %3D O ...

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Q: Find f'(x) and find the equation of the line tangent to the graph of f at the indicated value of x. ...

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Q: Find the component form of u + v given the lengths of u and v and the angles that u and v make with ...

A: Solution: we know that u→=ucosθ i +usinθ j

Q: Given the following differential equation and its initial conditions y" - y' - 2y -0 with y(0) - -2 ...

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Q: sin' 0 cos 0 d0

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Q: Given vector u= (-3, 3) and v = (6, –2), determine the value of 4u + v in | component form.

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Q: csc? 20 d0

A:

Q: Suppose that we don't have a formula for g(x) but we know that g(1) = -1 and g'(x) = V x2 + 15 for a...

A: Given, g(1)= -1 g'(x)= √(x²+15) g'(1)= √16= 4

Q: Let cot (0) = 6 where 0 is in Quadrant III. Find the other trigonometric functions of 6

A: topic- trigonometric ratios

Q: 3. Given w = x² + y² + z²; z = te"+s, use the CHAIN RULE to find x = ret+s; y = se**; and aw а. ar a...

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Q: 12 17 Find p, q if s" f(x) dx + fi2 f(x) dx = " f(x) dx. (Give your answers as whole or exact number...

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Q: -2 Let f be a function such that f(u) du = -12. What must be the value of -3 dx?

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Q: 2. Find the area of the region bounded by the graph of y = x2 –- 3x – 4 and the x-axis. %3D

A: The region is bounded by y=x2-3x-4 and the x-axis.

Q: 4. Use implicit differentiation to find az in xexyz sin(2z) – xyz = 5. ду

A: I am going to solve the given problem by using some simple calculus to get the required result of th...

Q: Find the derivative of the function at Po in the direction of A. f(x,у) - 4хy + 3у?, Po(-1,1), А-D6і...

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Q: 10.5 Csc In x-2 da x (csc Inx+1) A

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Q: Let R be the region bounded by the functions f(x) = -4x² and g(x) = -x – 5 as shown in the diagram b...

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Q: っ (6xt- 2x+4シュ)

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Q: Use logarithmic differentiation to find the derivative of the following functions (y ′ ). Hint: Take...

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Q: 4- find Juw w = X + y y + Z ९ ८०९ ६ y = e Sint and

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Q: You purchase 50 light sabers for 18 dollars and plan to sell them at the yard sale for 87 cents each...

A: