Determine the area bounded by the functions f(x) = (x + 1)³ and g(x) = x + 1. A unit² 3 B -unit² © 3/1/14 D m|w 2 -unit² -unit² H|m

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Q: sin (+) can be expanded to: π TT O sin COS sin sin 4 7 TT O sin sin COS cos 4 T Osin COS + cos sin…

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Q: se sec³ xtanxdx

A: we have to solve integration

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A: lim   16x2/4x x -->∞   lim   4x/4x x -->∞ = 1

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Q: 2 2) x² + y² - 16x + 18y + 96 = U 0 4) x² + y² + 28x + 28y +376 = 0 2 6) x² + y² - 16x-20y+128 = 0 0…

A: Solution is here

Q: Find the derivative of the function at Po in the direction of u. x-y g(x,y)= xy+2 Po(1,-1), u=12i+5j…

A: Given :g(x,y)=x-yxy+2u=12i+5j

Q: Estimate the slope of the line given to the right. Select the correct choice below and, if…

A: slope of line = (y2 -y1)/(x2 -x1 ) here y2 = 5 y1 = 0         x2 = 1    x1 = 0 slope = (5-0)/(1-0)…

Q: y = tan e³x + etan3x

A: (tan x)' = sec2(x) (eax)' = a eax.

Q: (x²-3x+1) dx

A: Given that ∫23x2-3x+1dxSolution :∫23x2-3x+1dxx33-3x22+x23333-3322+3-233-3222+2

Q: Determine the graph of g = x^2 + sqrt of (x + 1) and solve for its extrema, concavity, and points of…

A: Please see the below picture for detailed solution.

Q: S x cos √x² +4 V √x² + 4 dx

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Q: Given the 2nd order linear differential equations, y"-7y'+y=6. What type of case applies if solved…

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Q: dx Evaluate: (x+1) log(x+1) 1 A In10 log² (x+1)+C 2 B -log² (x + 1) + C 2 In 10 In[log(x+1)] + C…

A: We have to integrate of given function

Q: - EXAMPLE 3 Find the particular solution of 3xy' y = lnx + 1, satisfying y(1) = -2. x > 0,

A: It is a first order differential equation.

Q: (+X (x2) (x+2) dx = 특미지 2x tc

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Q: 2 - Find the average value of the function f(x)=x -21 on [0,6]. The average value of the function…

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Q: Use Lagrange multipliers to find the critical points and the relative extrema. f(x,y,z) = x² + y² +…

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Q: 14-f(t)= cos 2t.

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Q: Why is it "h • db/t + b • dh/dt"  instead of   "h • dh/dt  + b • db/dt"?

A: Using Rule of differentiation.

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A: Given this problem we find how many trees should she plant per acre to maximize her harvest.   Here…

Q: D. Graph each of the given functions and solve for the area of the region that they enclose. 2. 4.…

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Q: 2. Find an equation for the plane that passes through the points P=(2,-1,3), Q = (0,0,5) and…

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Q: A lighthouse is on an island 400 meters off shore. The lighthouse beam makes a full turn every 15…

A: First we diagram the problem, labeling the point A , the lighthouse beam as B and C as another…

Q: What is the range of the function y = 5 sin(0+ 60°) - 4? O -60° ≤ y ≤ 60° O-9≤ y ≤ 1 O-4≤ y ≤9 O-1 ≤…

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Q: 7.) (2x-y)y=4x-2y-5

A: Note:- These are multiple questions and according to our company guideline we can do maximum one…

Q: Question 1 S A - -/-/- B If (0 dx (0+2)(x-1)² 12 93 -ja 12 3 - I 3 B -S[ = √( 14+2+ = -1 (1-12 4 +…

A: We can solve this as follows:

Q: 6. In(x³y²) = x² +y³

A: Let's find second derivative of given function.

Q: 1. Consider a point in Cartesian coordinates given by (3√/3, -3, -8). (a) Find a corresponding…

A: We have to find out the coordinates

Q: y = x Arccsc (+)

A: We have to to slove derivative

Q: Find the area bounded by : f(x)=e*, g(x)=e* and x=3.

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Q: Q1/ From the following table of values, find the approximate value of f'(1.5)

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Q: sinh x tex cosh x + ex In the indefinite Integral Sin(cosh x + e*)- dx, what is the integrand?

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Q: Find the rate of change of total profit, in dollars, with respect to time where R(x) = 7x and dx…

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Q: (1) y=x, y=2-\x/ (2) y=1/x², y = 8x, y = x/8

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Q: +4y= 16t (Laplace)

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Q: When calculating the integral shown, using trigonometric substitution method with 6x sen(B) = in the…

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Q: Find the value of x If f'(3) = 52? X 1 2 4 f(x) -2 8 X

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Q: 5 Let f(x) = 5x + 3x²³² + 1 and g(x) = 3x²+2x+1 in 27 [X]. Determine the quotient and remainder upon…

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Q: Suppose that cote = c and What does sin equal in terms of c? O sin = √1+c² O 1 sin = √1-c² O sin =…

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Q: 1- f(t) = 2t³; 3–f(t)=sinh(2t); 5-cosh (t) sin(2t);

A: Given :1. f(t)=2t33. f(t)=sinh(2t)5. cosh(t).sin(2t)

Q: b)show that: I(cosh at cos at) = 5²440*

A: This is a problem related to laplase transform. Here we will use convolution theorem for evaluating…

Q: Sx² + 4 ; x<2 Question (4): Using the definition, determine whether the function f(x) = (3x + 2 = ;…

A: here we have to check from left hand side of x = 2  and right hand side of x = 2 it means lim…

Q: Put the given function into vertex form. Fill in the blanks to complete the function below.…

A: The vertex form of a quadratic equation is y = a(x-h)2 +k

Q: 4. f(x) √√3x52x + 7x² 18x-25 5. f(x) = (33x5-22)( 5x+13x4- 32x+51)

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Q: Q1/ From the following table of values, find the approximate value of f'(1.5) ? X 1.0 1.5 2.0 2.5…

A: Use the formula of derivatives and put all the values and calculate.