ydy can best be evaluated by algebraic substitution. Vy-1 A True В False B

Q: What u-substitution should be made in order to evaluate the following integral? dx (6x² + 4)* u =

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Q: 422+3r-2 Given z+1 determine y" 18 (z+1) (z+1) 2 (z+1) 10 (z+1)

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Q: Given the supply function   p=​S(x)=10e0.02x−1   find the average price​ (in dollars) over the…

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Q: Find curl (7z i + 8x j+4y k).

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Q: Find V· (V × F) if F(x, y, z) = 9 sin xi + 5 cos(2x – 3y)j+ 7zk. - V·(V × F) %3D

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Q: y= In e+1

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Q: Use Green's Theorem to evaluate the integral. Assume that the curve C'is oriented counterclockwise.…

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Q: Determine whether z is a function of x and y + z2 = 1

A: see below the answer and explanation

Q: af(x, y) If f(x, y, z) = , then is equal to dz

A: Given,  f(x,y,z)=x-zy-z

Q: dw dw Find ду at the point (w, x, y, z) = (75, – 1,2, – 3) if w = 3xy + 3yz- 3z° and x2 +y? +z? =…

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Q: Guess the value of the limit (if it exists) by evaluating the function at the given numbers. (It is…

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Q: C. coordinate

A: answer is in next step

Q: Find the foci of the hyperbola. 2-9y-90y-234 = 0

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Q: dx 3-x

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Q: 4x2-3z-2 Given a+1 determine y"

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Q: Let f(x) be the function 2a² – 4x + 11, Then the quotient f(2 + h) – f(2) - can be simplified to ah…

A: The equation of line between two points;(4, -3) and (-3, 0)f'(4)=0+3-3-4=-37passes through (-3,…

Q: Use the formula k(t) |r(t) × r"(t)|| x r" (t)|| to find «(t). ||r(t)||° r(t) = ti+ t5j «(t)

A: To find k(t).

Q: (x) = V19+r dt , find f'(3)

A: Given query is to find indicated derivative.

Q: Find the particular solution determined by the given condition. f'(x) = x2/5 + x; f(1) = -6 f(x) = =…

A: We can find the particular solution as below.

Q: (- 1)"(x + 1)" n! Consider the series E n=0 (a) Find the series' radius and interval of convergence.…

A: We will use Ratio Test for convergence

Q: 4) Compare your answers

A: answer is in next step

Q: Find the eigenvalues of the matrix and determine whether there is a sufficient number to guarantee…

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Q: Solve y" – 2y = x²

A: We have to find the solution of the given differential equation.

Q: ||r'(t) x r"(t)|| Use the formula k(t) to find k(t). ||r(t)|* 13 r(t) = t’i + t°j K(t) =

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Q: The company can sell the item for $90,000 each. a) Write a cost function C(x) and a revenue function…

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

Q: + 3x² 4)dx

A: Given query is to find the value of the integral.

Q: Find the interval of convergence of the power series. (Be sure to include a check for convergence at…

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Q: Solve the initial value problem y' = xe ; y(-1) = 3

A: We can solve the initial value problem as below.

Q: Evaluate: /1/T 1–x*dx (A 4) ² +c B D E) None

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Q: Find the particular solution determined by the given condition. F(x) = 3x2 - 2x; f(O) = 9 %3D %3D O…

A: Given query is to find the solution of the differential equation.

Q: Solve the differential equation for general solution dy = - dx V y = 14x + C O y = /14x + C, or y =…

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Q: Verify the Divergence Theorem by evaluating F.N dS as a surface integral and as a triple integral.…

A: Here, using the Divergence Theorem, ∯F·Nds=∫∫∫v∇·Fdv Here, F=xy,z,x+y So, ∇·F=∂F∂x,∂F∂y,∂F∂z=y,0,0

Q: ph of the parabola to fill in the table. 10- (a) Does the parabola open upward or downward? O=0 6+…

A: Given query is to find characteristics of parabola.

Q: A rectangular storage container without a lid is to have a volume of 10 m. The length of its base is…

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Q: Determine whether the improper integral diverges or converges. 0. -5x хе dx

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Q: Find the indefinite integral by using the substitution x = 3 sec(0). (Use C for the constant of…

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Q: Find the distance from the point to the plane. (5,7,6), 10y +z= 0 The distance is

A: We can find the distance as below.

Q: V = f(x, y) = x²y ,x(t) = 2.

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Q: 1. [²+3x - 4)dx

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Q: Evaluate (2x - y) dx + (x + 5y) dy. C: x-axis from (0, 0) to (0, -5) and (0, -5) to (5, -5)

A: The objective of the question is evaluate the definite integral.

Q: Find the particular antiderivative of the following derivative that satisfies the given condition.…

A: Solution: C′(x)=3x2 −5x​; C(0)=2,000

Q: 4. By implicit differentiation , find the 1st derivative of x3 + y3 + 6xy = 0

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Q: Solve the seperable differential equation 10yy' = x. Use the following initial condition: y(10) = 7.…

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Q: Compute (a) a1 and (b) r2 for the iterative process defined by an +1 = 2an(5 – an) with æo 3. 10z, –…

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Q: You are given the following information about a termite colony population. The current population is…

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Q: Given a function f(x, y) = In(9 – x² – y²). (a) Find and sketch the domain of the function. (b) Find…

A: Given function f(x,y)=ln(9-x2-y2 )

Q: Given the supply function   p=​S(x)=7e0.02x−1   find the average price​ (in dollars) over the supply…

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Q: Solve the problem. dV The growth rate of a certain stock is modeled by = k(25 - V), V = 20 when t=…

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Q: Find the derivative of the function: y = In e+2*+1 Oy = x"[(2x(ln x + 1) + 1] y = x*(2 + x + x² In…

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

A: Given : f(x)=7x+1   To Find : a) Derivative of f(x) b) Tangent at point (a,f(a)) where a=5