5 Set up only $$$ 6xydu where W is the sold asked = By two perabolous 23x² + y² $2=8-x²__y² Sketch the 3-D residy and the region inte xyphe f

Q: Evaluate the given definite integral. -23 125 th In x

A: let D=∫123lnxxdx

Q: x cos(x) dx?

A: ∫xcosxdx

Q: 2x cos(x²) esin(x²) dx

A: ∫2xcosx2esinx2dx

Q: Let Find e such that lim f(t) exists. t 2 The cis f(t) = 4 1 2t t + c for t 2

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Q: The force F has a magnitude of 310 lb and acts along the diagonal of the parallelepiped as shown.…

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Q: Use cylindrical shells to find the volume of the solid obtained by rotating the region bounded on…

A: The volume of the solid obtained by revolving the region bounded on the right by the graph of g(y)…

Q: When finding the moment produced by a three-dimensional force we commonly use the equation M = r X…

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Q: Σ(-1)" √TI 2n + 3

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Q: A bicycle with 24-inch diameter wheels is traveling at 16 mi/h. Find the angular speed of the wheels…

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Q: 15. a) Find the limit. x²-9 lim x--3x²+2x-3 b)lim √25+h-5 h

A: (a) let H=limx→-3x2-9x2+2x-3

Q: Find the area between the curve y = y 2.0 1.5 1.0 0.5 1 square units y = 2 1 x5/4 1 X5/4 3 and the…

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Q: Calculate the integral approximations To and Me for (Inx)-¹dx. Your answers must be accurate to 8…

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Q: Evaluate the integral See ex -2 dx Note: Use an upper-case "C" for the constant of integration.

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Q: 3. Determine the absolute extreme values for the function Y=3sinx + 4cosx on the interval [0,27]

A: y = 3sin x + 4cos x ,on the interval [0, 2pi]

Q: Let F(x, y, z) = xi + yj + zk. Evaluate the integral of F along each of the following paths. (a)…

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Q: 7. (1 point) An object starts from rest at the point P(1,2,0) and moves with an acceleration of a(t)…

A: Given an object starts from rest at the pont P(1,2,0) and moves with an acceleration of a(t)=j+2k.…

Q: Assignment: Consider the region bounded by the parabolas: 2 2 y = x + 4x + 3 and y = x + 2x + 3. B.…

A: Consider the region bounded by the parabolas:  y=x2+4x+3 and y=-x2+2x+3 To calculate the volume of…

Q: [b] Take a limit of the standard slope formula, as shown below, to find the instantaneous rate of…

A: The given function is gx=x2+2x. To find the derivative at x=2 and the equation of tangent line at…

Q: Find the linear approximation of the f(x, y) = Answer: f(x, y) ~ X x + y at the point (1,6).

A: To find the linear approximation of the function f(x, y) = x/(x + y) at the point (1, 6), we need to…

Q: Simplify the expression (3a¹b³c²)² (2a²b²c³) ³

A: This is question of algebra  Here simply expression is given  We have to convert it in simple form…

Q: 6. Write out the series and find the sum: Σ= 2(k − 1)(2k – 1)

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Q: Please circle the final answer. Specify each answer of each section to which question it is related.

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Q: Suppose you deposit $10,000 into a savings account that earns 3.5% interest compounded quarterly.…

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Q: Consider the funtion f(x)= 7x+1/2x-1 a)Determine the simplified first derivative and use it to find…

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Q: A plane has parametric equations x = 2-s + 3t y = 4 + 3s-t z = -5 + 2t where s, t E R a) Find the…

A: Given equation  x=2-s+3t y=4+3s-t z=-5+2t

Q: Find the area under the line y = 4 - 2x bounded by y = 0 and x = 0.

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Q: 2. For the vectors a = (1, 2, 3), b = (2, 1, 3), and c = (1, 1, 0), show that the following is true:…

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Q: Find c> 0 such that the area of the region enclosed by the parabolas y=x²-c² and y=c²-x² is 20. C=

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Q: Evaluate the line integral JC 2xyz dx + x²z dy + x²y dz where C is an oriented simple curve…

A: We have, integral 2xyz dx + x²z dy + x²y dz where C is an oriented simple curve connecting (1, 2, 4)…

Q: Find the 32th derivative of f(x) Enclose arguments of functions in parentheses. For example, sin…

A: The given function is;  f(x)=cos2x Find the 32th derivative.

Q: 33 ow your work and explain, in your own words, how you ar relevant explanations may receive reduced…

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Q: 8) Find the inverse of the following matrix A. Show your work. Check your work. . i.e. AA-1 =1 1 2 2…

A: This Is question of algebra Here matrix is given  We have to find inverse of matrix  Further…

Q: The total U.S. personal income I (in billions of dollars) can be approximated by I=535.6(1.054)t  ,…

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Q: - Consider the surface F(x, y, z) = x626 + sin(y³z6) — 10 = 0. Find the following partial…

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Q: X cos(x) dx?

A: ∫xcosxdx

Q: D is the region enclosed by the parabolas = 2 -2 2 = y² - 1 and 2 = x = y² + 1.

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Q: 2. Solve by separating variables and check y'= 4x³y with initial conditions_y(0) = 2…

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Q: The rate (in liters per minute) at which water drains from a tank is recorded at half-minute…

A: The rate at which water drains from a tank is recorded at half minute intervals ∆t=0.5

Q: a. Find the derivative function f' for the function f. b. Determine an equation of the line tangent…

A: The slope of the tangent line to the curve is equal to the derivative of the function at the given…

Q: = The federal tax rate for heads of household is given in the graph shown to the right. Use the…

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Q: g(y) y - 1 y²y + 1 2

A: to find critical points of gy=y-1y2-y+1

Q: f(1) = 1 ƒ'(1) = 2 ƒ'(3) = -5 (a) Chain Rule: h(x) = f(g(x)) ⇒ (b) Product Rule: h(x) = f(x) · g(x)…

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Q: 6 5 4 J 2 *+ -2 3 -4 s -6 V 1 2 3 4 6 The graph above shows the base of an object. Compute the exact…

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Q: Suppose f is a differentiable function of x and y, and the following applies. p(t) = f(g(t), h(t))…

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Q: Determine the value for c so that lim f(x) exists. X-5 f(x) = 1 5x+C, -x+10, for x>5 The value of c…

A: If limx→af( x ) exist then limx→a-f( x ) = limx→af( x ) = limx→a+f( x )

Q: Without using symmetry, determine a definite integral that represents the area of the region…

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Q: Use the one-to-one property of logarithms to find an exact solution for If there is no solution,…

A: Here we have given a logarithmic expression: ln7+ln7x2-6=ln39 Properties we will use here are given…

Q: Yes or No? If No, give a reason. Let f be a function. 8 and f(8) = 8? (a) Is it possible that f(7)…

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Q: Find the value of k such that the limit exists x² kx + 4 lim x-1 - x - 1 The k value is The limit is…

A: We have  function (x2-kx+4)/(x-1) We have to find value of k for limit existence when x tends to 1…

Q: Graph the function and then find the specified limits. When necessary, state that the limit does not…

A: A piecewise function is given and here we need to find out that limit exists or not at x=1 and also…