6. S x³ √9+ x² dx x = 3 tan 0

Q: x) [in(3x²-36)]². Then f'(x) = A. 12x In (3x²-36) 3x²-36 O A. O B. O C. O D. O E. 2 In (3x²-36)…

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Q: Find and classify the critical points of f(x, y) = x³ + 2xy + 3y². Local maximums: Local minimums:…

A: NOTE: Refresh your page if you can't see any equations. . take the partial derivative with respect…

Q: Assume that lim f(x, y) = 2 (x,y)-(2,5) lim g(x, y) = 3 (x,y)-(2,5) Evaluate the following limit.…

A: We have, limx, y→2, 5fx, y = 2limx, y→2, 5gx, y = 3 To evaluate: The value of the limit limx, y→2,…

Q: Given f(x) = 3√x + 2, find f'(x) using the Limit Definition of the Derivative. Doing this question…

A: Given that  f(x)= 3√(x+2) we find f'(x) using limit defination and without limits defination.   Here…

Q: The graph of y=f(x) is given on the following set of axes. The graph passes through the points (-2,…

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Q: Evaluate the limit: limo 9x² (= cos 4x-1

A: To evaluate the following limit.limx→0 9x2cos4x-1

Q: Knowing the Integrating Factor to the above differential equation, vdx - (2v1) x dv = 2v²e²dv, the…

A: Topic = Differential Equation

Q: Amanda makes $350 each week from her part-time job. She works from 1pm - until 6pm Monday through…

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Q: The curve ƒ(x) = x¹ − 25x² + 8 has a horizontal tangent at which of the following points

A: To get  point at which the tangent line is horizontal, we put  slope of the function is 0 because a…

Q: Find (f-1)'(a) for f(x) = -5x -2 when a = 8. Enter an exact answer. Provide your answer below:…

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Q: Find the constants in the partial fraction decomposition. A x-10 10x+12 (x-10)(x²+12) A = + Ba+C x²…

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Q: Graph the solution to the following system of inequalities. 3x+4y2-16 -2x+3y<-6 Then give the…

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Q: (c) (d) 120 x² + 3x + 1 x² - 4 [ 21 dx x arctan x dx

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Q: Given f(x)= x + 2 sinx, for what values of a does the graph of f have a horizontal tangent line?

A: See the answer below

Q: Differentiate the function f(x) = x5 + 5º.

A: Given function, f(x)=x5+5x

Q: For the equation given below, evaluate dy |. dx at the point (1, -2). 25 y x + 8y = x² − 4 -

A: dydx1,-325=-71625

Q: Find (f-¹)'(a) for f(x) = = (Enter an exact answer.) -x - 3 3x + 2 Provide your answer below:…

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Q: If_f(x) = xcotx , then f(л/4) = Ов A. K B. 2 С. 1-л/2 D. 1 + л/2

A: See this solution in below.

Q: 3. sum. Write Determine if the following series converges or diverges. If it converges, find its…

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Q: Use implicit differentiation to find the slope of the tangent line to the curve defined by 7xy³ +…

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Q: Use logarithmic differentiation to find the derivative of y = (ln(4x))In(4x) (where x > 1/4, so that…

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Q: Find an equation of the sphere that passes through the origin and whose center is (1, -6,8). =0 Note…

A: We need to find equation of sphere.

Q: If  f  is continuous and  9 f(x)dx   0=4 , 3 xf(x2)dx   0=

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Q: Evaluate: 2 2 dxdy (x + y)² 5² 5²

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Q: Find the directional derivative of f at the point P in the direction of a. f(x, y) = 7x³ - 9y³;…

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Q: When a bactericide is added to a nutrient broth in which bacteria are growing, the bacterium…

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Q: Evaluate the integral. 15x² dx (x + 1)(x² + 1) J = | + C

A: Here we use the partial fraction of the integrand to find the integration ∫1xdx=ln(x),…

Q: Find and classify the critical points of f(x, y) = x³ + 3xy + 4y². Local maximums: Local minimums:…

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Q: Use Lagrange multipliers to find the maximum and minimum values of fsubject to the given constraint.…

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Q: dy (1+x)y + xy² dx x

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Q: tan(x) = 12 x in Quadrant II

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Q: Чп S 1 + bu do

A: We need to evaluate integral.

Q: 1 F(x) e(u) Set up an integral to find the area A of the region enclosed between f(x) = 0.9x² + 2…

A: Given Data: f(x)=0.9x2+2 g(x)=2

Q: Evaluate the limit using continuity. (Use symbolic notation and fractions where needed.) et lim…

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Q: 2. Find a particular solution Y(t) of y"" - 2y" - v' + 2y = t

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Q: #3) Find the derivative of the function. y = 2-5x

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Q: If f(x) = ln(x) where x = [1, 3] is rotated about the x-axis, then the area of the resulting surface…

A: NOTE: Refresh your page if you can't see any equations. . the given function is  and the given…

Q: Sketch the region enclosed by the curves x = 3y² and a || y² + 4. List the points of intersection of…

A: We need to sketch the region and point of intersections and also the area bounded by the curves.

Q: Sketch the region that lies between the curves y = 2 sin(x) and y = 2 cos(x) from z=0 to z=0.7.…

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Q: 2x² -f(x) x + 3 Find k'(-2), given that Let k(x) = Provide your answer below: K'(-2) = f(-2) = -3,…

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Q: What is the standard form of this linear differential equation in one variable, (y + 1) dx + (4x −…

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Q: Show and explain all work!!!!!

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Q: Consider h(z. y. 2) = cos(ry) + e*+ln(rz) at the point P (1,0,-). Determine the Collowing: (a) the…

A: Given function:- hx,y,z=cosxy+eyz+lnxz

Q: a. [ 3x (x² - 5)³ dx 1

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Suppose f is a continuous function defined on the interval [0, 3] and that some of its values are…

A: Given : Suppose f is a continuous function defined on the interval [0,3]

Q: (d) Find P(501) - P(500). Explain what this value represents. O This is the actual cost of the 501st…

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Q: Suppose that f(x, y) = x² − xy + y² − 5x + 5y with −5 ≤ x, y ≤ 5. 1. The critical point of f(x, y)…

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Q: Find the equation of the tangent line of f(x) = sin x tan x at x = pi/4. Write answer in exact form.

A: we need to find out the equation of the tangent line

Q: MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the…

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Q: 3. Sketch the graph of a function f with the following properties: x f is not continuous when x = 4…

A: We have to sketch the graph of a function that has the properties, f is not continuous when x=4 but…