4 9 Find the critical points of the function f(x) = 45x 5 + x 5. Enter your answers in increasing order. If the number of critical points is less than the number of response areas, enter NA in the remaining response areas.

Q: 2. Evaluate the integral. 7 5 dx (x − 6)2 PLEASE SHOW STEP BY STEP .

A: Given, ∫57x-62dx

Q: Q2. Find the area of the triangle (by using vectors) whose vertices are A (0,0,0), B(1,1,1), and…

A: To find the area of the triangle with given vertices.

Q: Evaluate the integral. 5 1³w² w² In(w) dw

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Q: Simplify. 2 X+1 2 x + 1 1 + X 3 + X

A: Topic = Algebra

Q: Express the equation in exponential form (a) In 2 = x is equivalent to e4 = B. A= and B= (b) In x =…

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Q: EXAMPLE 3 Suppose that a ball is dropped from the upper observation deck of a building, 350 m above…

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Q: Differentiate the function. 1 2 =(√x + + + + + ) ² 3 v' = V

A: See this solution in below.

Q: 6. B. A A = t²i- tj + (2++1) R B = (2-3)2 +Ĵ-tê d (A x d B dt dt dB dt 11 @t=1 FIND:

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Q: 56x²5x-50 15x²-44x-20 20x²7x-6 2x² + 9x + 10

A: We know that the root of quadratic equation ax^2 + bx + c = 0 is x = ( -b + √ (b^2 - 4ac)) / (2a)…

Q: Find the dimensions of the open rectangular box of maximum volume that can be made from a sheet of…

A: We have given the dimensions of the cardboard sheet i.e.  Let length is = 13 in.  breadth is = 8 in…

Q: Let F(t)=sin(5t)i+2tj+t^3k and G(t)=t^6sin(5t)i+t^3j+5 ln(6t)k,find F(t)×G(t).

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Q: 9²-9 9² + 69 79 2 9²-29-3 9² +29-3 2

A: To simplify ans solve the given question

Q: Given f(x, y, z) = xyz, find fxyy

A: The given function is fx,y,z=xyz We have to find the value of fxyy

Q: 14. Find a y=r³ parametrization for the path that travels along the graph of z from (-1,0) to (1,0).

A: To find the parametrization of the path that travels along the graph of y=x3-x from (-1,0) to (1,0).

Q: Solve for x, y and z using (a) Cramer’s Rule, (b) Inverse Matrix Method

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Q: Determine whether the improper integral converges and, if so, evaluate it.   ∞ 0 5x dx (3 + x2)2

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Q: Cost, revenue, and profit are in dollars and x is the number of units. Suppose that the total…

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Q: Find div F if F(x, y, z) = (x2 + y) i + z2 j + (ey - z) k.           A . 2xy i + k          B. 2x…

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Q: Let g(t)=(0.2)^t Estimate g′(6.5) to within one decimal place by using a small enough interval.…

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Q: Sketch the graph of a function f for which f(0) = 0, f'(0) = 3, f'(1) = 0, and f'(2) = -1. y y -1 -1…

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Q: The graph of a function f is shown. 800 400 20 40 60 (a) Find the average rate of change of f on the…

A: we need to answer the questions from the graph.

Q: integral

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Q: rounded

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Q: 18. 19. 20. dy dx dy = -5y, y = 7 when x = 0 = 4 sin 2x, y = 2 when x = π/2 dx dy = x² + 3 + e²x, y…

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Q: 2. Solve the following system of equations dx dt dy dt = = -4x - 2y 5x + 2y (a.) Find the…

A: According to bartleby guidelines,  we are supposed to do only 3 subparts . If you want more to be…

Q: Differentiate the following function. f(x) = x5 e5x f'(x) =

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Q: Let f(x)=2x+1, find f(a), f(h +a), the net change, and the average rate of change. I found…

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Q: A differential equation (DE) is a mathematical equation for an unknown function that relates the…

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Q: √2142 dr = || +C

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Q: Solve g) iv. using the lebiniz rule, differentiate the following functions with respect

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Q: Question eleven: We suppose that {1,2,3,4} = A that f: A→ A is a defined function as in the…

A: Given Data: Set A=1,2,3,4 Function f: A→A

Q: dy xẩy + y = xy3 dx

A: We are asked to solve the differential equations

Q: 2-y If x = 32, find 2y 4. y+2 2y√ √2y B. dx B. Find y' if y = 4x-1 y-2 2y√ √2y (2x²-3)(3x+2)…

A: We can answer both the question in the below steps.

Q: Differentiate y=11x³ +4

A: Given, y=11x3+4

Q: Find the particular solution of the following equation by first finding its general solution: y''…

A: Given, y'' - 4y = 10

Q: (3) Consider the initial value problem zy' + y = 5x¹, find the general solution. Now, with inital…

A: Solution

Q: don't understand how I can graph this function, can someone please help as well as explain

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Q: -3x++4+5x7 -6

A: Given query is to find the soluof the expression.

Q: = Multiply, and express answers using positive exponents only. 1 (6u²z - v² ) Lu 2 би V - 3v 2

A: Solution

Q: 2 Find and simplify the expression if f(x)=x²-3. f(4 + h) − f(4) f(4+h)-f(4)=

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Q: 4. For the second-order differential equation y" + 4y = -16 cos²x: a. Show that y = cos 2x + 2 is a…

A: We have to find a,b,c .

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) √er (5 + 6e 6e)7/2 dr

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Q: Use the graph of the function to find its domain and range. Write the domain and range in interval…

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Q: Cost, revenue, and profit are in dollars and is the number of units. Suppose that the total revenue…

A: According to bartleby guidelines I can only answer the first three question of the given problem.

Q: The root of e^x-2 is known to exist in (0,2). Find an approximate value of the root within a…

A: The given function is fx=ex-2 which has a root in the interval 0,  2.

Q: 2) Consider the equation x² + y² = 100. Suppose that x and y are both functions of time t. Find…

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Q: Given f(x, y, z) = xyz, find fyxy

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Q: Multiply, and express answers using positive exponents only. 3z1/8 (527/8-4216)

A: To multiply and express the answer using the positive exponents for the expression: 3z18(5z78-4z16)

Q: Use PMT= 3¬ to determine the regular payment amount, rounded to the nearest dollar. The price of…

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Q: The curvature of a plane parametric curve x = f(t), y = g(t) is given by |x y - yx| [x² + y2]3/2…

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