Evaluate f(2x² + 3x + 1)5 (8x + 6) dx

Q: The base of a three-dimensional figure is bound by the circle x² + y² = 9. Vertical cross sections…

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Q: Use the Table of Integrals to evaluate the integral. dx S ex(5 + 10e* Select the correct answer. -X…

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Q: There are $448 available to fence in a rectangular garden. The fencing for the side of the garden…

A: Given that , Total available cost = $448 Road side cost = $12 per foot and other side cost = $4 per…

Q: Differentiate implicitly to find the first partial derivatives of z. 2x2 + 11y2 + 3z2 = 36

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Q: where does the function 1/sin(x) not exist? what happens if we try to calculate any of these values?

A: We have to find the values where function values doesn't exist.

Q: Analyze and sketch a graph of the function. Find any intercepts, relative extrema, points of…

A: We have to sketch the graph of given function.

Q: The eigenvalues of the coefficient matrix A are given. Find a general solution of the indicated…

A: Given  A=7716-32-72-113214432-59   λ=-3,5,5

Q: Determine which of the graphs below have Euler circuits. Vo Vg VI 3 m (US S 5 e6 4 33 V3 Ug (US 27…

A: Euler circuit: An Euler circuit starts & end at same Vertex Here in the given problem we have to…

Q: Q2A)Matrix A = 42find Eigen values of 4². dy -(x²+y) B)Solve differential equation x+siny

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Q: Find (s-¹1)' (5) using the Inverse Function Theorem, given that s(x) = −6x³ – 8x² – 9x - 2. Note…

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Q: A conical vessel full of water is 16 ft across the top and 12 ft deep. Find the work required to…

A: Given: Volume of the conical vessel=13π r2h          where r= radius of vessel                    h=…

Q: For the function f(x) = f'(x) = 0 x² 1+x find f''(x). Then find f''(0) and f''(8). 1

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Q: 1 Find equation of plane which is containing Points A(2,1,1) and B(7,5,2) and normal to 2 x - 3y -…

A: We have to find the required plane

Q: ind area bounded by y = 0, y =√x-x² using double integration.

A: We have to find area of given region.

Q: Given the function f(x) = x² + Draw a sketch of the graph of f. 16 - X x>0

A: Follow the procedure given below.

Q: ■ Show that the area of the triangle whose vertices are the [X1 У1 points (x₁, y₁), (X2, Y2) &(X3,…

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Q: Using the definition of the derivative, find f'(x). Then find f'(1), f'(2), and f'(3) when the…

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Q: Evaluate the integral. 1 -3 6²3 16 + r² dr

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Q: 35/ SEX √ 2 X-I d x

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Q: Given y=(3-ex)/2ex  , determine the behavior as x approaches negative infinity

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Q: Determine whether the statement is true or false. True False The equation y' = 4y - 2x + 8xy - 1 is…

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Q: The voltage Vin a simple electrical circuit is slowly decreasing as the battery wears out. The…

A: This question can be solved using the concept of rate of change.

Q: A 13.5-m fire truck ladder is leaning against a wall. Find the distance d the ladder goes up the…

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Q: Find all the second partial derivatives. V = e4xey Vxx = V xy v Vyx Vyy = = ||

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Q: 1. -5 cosh x 2+3sinh x dx

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: Evaluate x+1 S ex x² dx O e.e= + C O-e e + C O e e + C e = + C O

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Q: 5a) Suppose y = f(g(x)). State the chain rule. That is, what is y' = dy/dx? Now, suppose f(x) =…

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Q: Draw a graph to match the description given. f(x) has a positive derivative over (-∞, -1) and…

A: Here, given that the function f(x) has a positive derivative over -∞,-1 & (-1,7) and a negative…

Q: Use a graph to give a rough estimate of the area of the region that lies beneath the given curve,…

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Q: Given that f(x) = (x - 6)² and g(x) = 1 and g(x) = 1 – 2x, find

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Q: Q5: Find the sums of the following (geometric series): 3n-1 - 1 6n-1 n=1

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Q: which f(x) is negative. Determine the intervals on which f(x) is positive and on…

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Q: Q5: Find the sums of the following (geometric series): 3n-1 1 6n-1 n=1

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Q: You are given the following information about the function f(x): a) Domain: {x ER} b) Vertical…

A: Solution :Given f'x=41-x2x2+12integrate both sides∫f'xdx=∫41-x2x2+12dxlet,…

Q: Evaluate the integral. V3 /1 v3 + 3v6 3v6 d v4 dv

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Q: Find y': ○ 4kx (2kx + 1)7 ○ 4k (2kx + 1)7 ○ 8k(kx² + 1)7 ○ 8kx(kx² + 1)7 y = 1/(kx² + 1)8 ; k…

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Q: B)Is w = Zez analytical function or not?

A: Here given that. W=z.ez  we know that z is polynomial function  and ez is exponential function both…

Q: B)Prove (cose + i sine)" = cosne + i sin no

A: Solution is given below:

Q: The voltage Vin a simple electrical circuit is slowly decreasing as the battery wears out. The…

A: We have given  Resistance (R)= 423ohm  Current (I)= 0.05A  dV/dt= -0.06V/s  dR/dt= 0.04ohm/s

Q: Determine the critical points of f(x) = 8x3+81x2−42x−8.

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Q: a dy Find given y = 4 In da

A: The given function,   y=4x lnx

Q: Write and evaluate the definite integral that represents the area of the surface generated by…

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Q: f 2³x dx = O 0 23x In 2 + C ○ 23x+1 + C 3x+1 23x In 8 0 23x ln 2 O + C + C

A: To evaluate: I=∫23xdx

Q: Consider the following parametric curve. x = sin(8t) + cos(t), y = cos(8t) - sin(t) Find dy dx dy dx…

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Q: Find the area of the shaded region. y y=8x-r 15 (6, 12) 10 A y=2x 2 4 6 Step 1 To find the area…

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Q: f(x) dx = 4 and 0 1₂ 2 +S²g(x)dx? 3 f(x) dx + -2 10 2 g(x) dx = 6, what is

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Q: Find the absolute minimum and absolute maximum of the function f(x) = (x2 − 1)3 defined on the…

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Q: If f (x) = 1 and (a, ƒ(a)) and (a + h, f(a+h)) are points on f(x), where h = 0, then 2x -1 f'(a) =…

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Q: State the coordinates of intercept(s), end behavior, and domain and range of the logarithmic…

A: Lets have the graph of the given function to better understand above requirement

Q: 4. When finding the derivative of a fraction you have to use the Quotient Rule. 5. The derivative of…

A: 4. when finding the derivative of a fraction you have to use the quotient rule.5. The derivative of…