Find the area of the shaded region. 4 3 2 f(x)=x- 8x +21x, g(x)= -14x + 136

Q: 1. y=√√3x²-5x+

A: Given: y=3x2-5x+1

Q: It is known that f g (x) dx = e³, f₁ g(x) dx = 4, and g(x) dx = 12. Find g(x) dx. O e5 - 8 e6+16 es…

A:

Q: Based on the given table of data, compute each of the following derivatives (fog)'(2) (gof)(4) = X 2…

A:

Q: Derive the following functions 2-3x 5 50. y=- 6 3+x 52. y=: 54. y=- Sx²

A: 50. y=2-3x5

Q: A دے 1. Graph the following pairs of functions. What is the domain of each? Where are the vertical…

A:

Q: Find the derivative of the following functions. Whenever possible, express answer in factored form.

A: Given, y=x2-1x

Q: Find the Laplace transform of the following: (b)sin 2t + Ans: (b) 2 3 cos 3t 2 2 13+4+3² +9 2

A: I am attaching image so that you understand each and every step.

Q: 2 1. (2xy-3x²) dx + (x ² + 2y) dy = 0

A: 2xy-3x2dx+x2+2ydy=0

Q: 57-62. Transcendental functions Determine the end behavior of the following transcendental functions…

A: As per the guidelines we are supposed to answer only one question at a time. If you want answers of…

Q: e selling price of a refrigerator, is $678.70. If the markup is 10% of the dealer's cost, what is…

A: Given query is to find the dealer's cost.

Q: Solve the following system of equations using Gaussian elimination method. If there are no…

A: The given system of linear equations, 5x-6y-6z=2-6x-8y+7z=9-20x+24y+24z=8 We have to find the…

Q: Evaluate the indefinite integral S -10x² X dx

A:

Q: The general solution of the Differential Equation (2x-y²)dx-2x(y²-x+y)dy=0 is -xe2Y(x+y2)=C

A: To determine whether the following statement is true or false.The general solution of the…

Q: Find the derivative of the following functions. Whenever possible, express answer in factored form.…

A: Explanation of the answer is as follows

Q: FB 1.2 Arguing from first principles, find the derivative of the func- tion f defined by x+ f(x) =…

A:

Q: Question 7 In the Four-Step Rule, which among the steps is the most important, upon which the…

A: A differential equation is an equation that involves a function and it's derivatives.

Q: SOLVE STEP BY STEP IN DIGITAL FORMAT PLEASE Derive the following functions 50. y=- 52. y=- 2-3x 5…

A:

Q: Given the demand equation p + (x/5)=40, where p represents the price in dollars and x the number of…

A: Understanding of the Price Elasticity of Demand concepts are required in order to solve this…

Q: Is there a value of n that will make the following function continuous at x = 0? Give reasons for…

A:

Q: function of x and y sın (x²₂ + y²)+2x³=yz²+2, If z is a differentiable satisfying the equation find…

A:

Q: On a routine inspection of the water system of Cincinnati, Fernanda discovers a pipe leaking at the…

A:

Q: The daily cost (in dollars) of producing Samsung VR headsets is given by C(x) = 900+400x² + 5x3…

A:

Q: 5. y = (2+ x)²(1-x)'

A: We need to find out the derivative of the function.

Q: Suppose the position function of an object moving along a straight line is given by s (t) = and you…

A: Velocity of any moving object is defined as rate of its position so you need to find the rate of the…

Q: Calculus Find the volume of the solid generated by revolving the region bounded bythe graphs of y=x,…

A:

Q: Suppose that y is a differentiable function of x and z = cos (x5,8). Express in terms of x, y, and…

A:

Q: u 2.) du + (-1/2 − u²)dt = 0 t

A:

Q: b) lim 818 c) lim 818 2x³-3x+1 3x4+7x³-2x-1 sin (x+3) X

A:

Q: Solve the following for C. (Assume that C > 0) C (4x+8) dx 0 C = = 90

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

Q: Use the integration by parts to evaluate the following integral by assuming u = 6.³ x² dx (cos x + x…

A:

Q: Find the maximum value of the function z = 4x + 3y subject to the following constraints. 3x + 2y ≤…

A:

Q: 10 B 64 2 2 6 $10 Q

A:

Q: Find the linear approximation of f(x)=√x when x = -27.

A: Linear approximation is an approximation of a general function using a linear function. It is useful…

Q: t f(x, y) = x² cos(xy). ) Determine f(x, y). Determine fy(x, y). Determine Vƒ(1, π).

A: Topic:- application of derivatives     Note:- as per our guideline if more than three subparts…

Q: he graphs of y = f(x) (solid) and y = g(x) (dashed) are shown. The two graphs intersect at ( Region…

A: Topic:- application of integration

Q: Find the volume of the solid that results when the shaded region is revolved about the indicated…

A:

Q: Sketch two periods of the graph for the following function. x + π) TU m(x) = 2 csc -X 3

A:

Q: Find the derivative of the function. f(v) = (v−3 + 3v−2)3

A: to find out the derivative of the given function.

Q: Find the derivative of the following functions. Whenever possible, express answer in factored form.…

A: y=(2+x)2(1-x)3

Q: FInd d/dx (1-xe^2/x+e^2 Derivative: ___

A:

Q: 2. Find the equation of the curve whose slope at any point *-2 and 3-y passes through (-1, 1).

A:

Q: Evaluate the following integrals 16 ³√/1+√√/x dx √x a) 16 b) S dx x+Vxn-m where m and n are natural…

A:

Q: Do the points (4, 3, −4), (4, 1, −1), and (4, 9, −13) lie on the same line?

A:

Q: Black pink held a concert in moa arena. the vip ticket sold 15$. Lower box ticket were sold for 10$.…

A: NOTE: Refresh your page if you can't see any equations. . x=number of VIP tickets (each sold for…

Q: 4. G(x) = n x3.4 -5me + p 5. F(x) = ax³ bx² + cx - d 6. f(x) = (3x + 1) (2x7 - x + 2)

A: I am attaching image so that you understand each and every step.

Q: b) H(x) = (3 sin x + 5 cos x) e²

A: Given query is to find the derivative of the function.

Q: Find an arc length parametrization of r(t)=

A: Given, r(t)= <6t2,t3> Formula : Length of parameterization: L= ∫0t|r'(t)| dt

Q: 5. Find the second derivative of f (x) (x² + 1)³.

A: Given query is to find the second derivative.

Q: Find the function y = f(t) passing through the point (0, 10) with the given differential equation.…

A:

Q: 2. Find the following limits without using a graphing calculator or tables. x-5 a)lim x-5 2x²-9x-5 -…

A: