State the coordinates of the intercepts, stationary points, and the inflection point of p(x) = (x + 1)²(2x – x²). Enter the exact answers Tumber of -intercepts: one Choose y-intercept: (?,?) Choose one 1 2 Number of tationary points: one Choose Number of Choose inflection points: one

Q: ntegrating (a) with respect to x and (b) with respect to y. y = Vx, 1s xS 8 (a) Integrate with respe...

A: we have to solve

Q: Find a parabola with equation  y = ax2 + bx + c  that has slope  13  at x = 1, slope  −19  at x =...

A:

Q: Find a function f(x, y, z) whose level surface f =1 is the graph of the function g(x, y) = 5x + 3y. ...

A: Here is the solution of the given problem. Level surface: 

Q: integrating (a) with respect to x and (b) withn respect to y. x = In(4y + 1), osysi (a) Integrate wi...

A:

Q: The area of a rectangle with one of its sides s is A(s) = 10s". What is the rate of change of the ar...

A:

Q: if x<3 Consider the function f defined by f (x) =. . Which of the following 6x – 9 if x2 3 - stateme...

A:

Q: The top of a 18 foot ladder, leaning against a vertical wall, is slipping down the wall at the rate ...

A:

Q: Vx + 3 On which interval is the function f(x) = continuous? %3D x – 3 (-0, –3) U (-3, 3] (-0, –3) U ...

A: Given f(x)=√(x+3)/(x-3)

Q: This function is given by 8ry (x, y) + (0, 0) f(x, y) 0, (x, y) = (0,0). (a) Find a formula for the ...

A: The given function is; f(x,y) = 8xy /(x2+y2) 

Q: Differentiate f() 5æ? 8 cos x. - Answer: f'(x) =

A:

Q: If A = 78°, b = 16, and c = 7, what is the area of this triangle? %3D %3D A, C >C a [? ] square unit...

A: Area of triangle = (1/2)*base*height

Q: 5. The following piece-wise function summarizes the tax levied by the United States government on th...

A:

Q: A particle moves according to a law of motion s = (t), t 2 0, where t is measured in seconds and s i...

A: As per the guidelines, we are suppose to answer only first 3 subparts. Please repost the rest of the...

Q: One of the roots of the polynomial equation is given. Find the other roots. Show solutions. x^3 - 1...

A: Given query is to find the roots of polynomial.

Q: Which of the following is continuous at x=3? A f(x) = log(x – 3) 1 f(x) = x – 3 (B f(x) = v3– x x – ...

A: A function is continuous at a point x=a,if and if only : limx→a+f(x) = limx→a-f(x) = f(a)

Q: Use the given derivative to find all critical points of /, and at each critical point determine whet...

A:

Q: A portion of the graph of the function f (x) = /2 is shown to the left. We are examining the limit o...

A: L=limx→2f(x)=2ε=0.5

Q: 2 0 Given that 3x² + p(1 – 2x) =-3. show that, for x to be real, p-3p – 9 2 0

A:

Q: A particle moves according to a law of motion s = (t), £ z 0, where t is measured in seconds and s i...

A: Note: As per our compnay guidelines we are supposed to answer only first 3 sub-parts. Kindly repost ...

Q: A particle moves according to a law of motion s = (1), t 2 0, where t is measured in seconds and s i...

A:

Q: Solve the differential equation of the following homogeneous equation. Show complete solution. 1. (3...

A: We have to find solutions

Q: Which of the following is NOT differentiable at a=4? x+4 A x-4 x- 4 y=- x+4 (B © y=(x-4)² D y=Vx+4

A: To check whether which of these function is not differentiable the method follows as :

Q: Which of the following is true about the derivatives of differentiable functions f an d da (2) – 9(x...

A: To tell which is the correct. 

Q: Solve the equation to four decimal places. 2.10612t = 3 (Round to four decimal places as needed.)

A:

Q: t A particle moves along the x-axis, its position given by x (t) t > 0, where 1+ t2 t is measured in...

A: Explained below 

Q: Find the equation of the line that is tangent to the curve y = 6x cos x at the point (T, -6T). The e...

A: Given curve is: y=6x cos x. We need to find tangent to y at (π, -6π)

Q: ) If the position of an object is s(t) = -t³ + 6t² – 9t meters in t seconds; 8. . a) Determine the v...

A: Topic - derivatives

Q: 2) Solve the Initial Value Problem. y" +3y" + 3y' + y = 0, y(0) = 1, y'(0) = 2, y"(0) = 3

A:

Q: It is given that f(x) = 4 + &r – x². (i) Find the value of a and of b for which f(x) =a – (x+b)² and...

A: Given f(x)= 4+8x-x2 Note: Stationary point is where the df/dx =0.

Q: Which of the following statements is NOT true? 1- cos(1) A 1-OL lim =0 B lim |=0 I+ sin(t) =2 (c) li...

A: We can check the truthfulness of the given options as below

Q: Find dy/dx by implicit differentiation. x4/3 + yA/3 =12 %3D dy/dx = (Express your answer using posit...

A:

Q: 9. /4x – x² dx

A:

Q: What is the value of the slope of the tangent line to the curve y = 2x2 + x – 3 at the point (-1,–2)...

A: Given :-  y = 2x2+x-3 To find:- slope of tangent line at (-1, -2)  METHOD:- Slope of tangent =dy/dx

Q: csc(x) – 1 sec(x) Differentiate: f (x) = (A f'(x) = - csc²(x)+ sin(x) B B f'(x) = - csc2(x) – cos(x)...

A: We can use differentiation of trigonometric function rules to find the derivative of the given quest...

Q: Find points of horizontal and vertical tangent lines r = 1- cos(0) %3|

A:

Q: Evaluate: lim logo (x) X-0+ (A) в) о C) 00 D + 00

A: In this question we have to evaluate the limit.  

Q: Consider the function as representing the value of an ounce of palladium in U.S. dollars as a functi...

A: We can findout

Q: Anformation about 0 is given in each of the following problems. Find the other trigonometric functio...

A:

Q: Determine the roots of the equations using iterative methods with initial values of 1. 2х + 6у + 3z ...

A:

Q: hich of the following is NOT a homogeneous? a. xy+y2 b. x+xy c. x+y sin(y/x)2 d. x3+xy2ex/y

A: The answer is option b

Q: A particle moves according to a law of motion s = Rt), t z 0, where t is measured in seconds and s i...

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for you...

Q: Evaluate the line integral, where C is the given curve. z2 dx + x2 dy + y² dz, C is the line segment...

A:

Q: x(x²+1)y' + 2y = (x² + 1)³, when x = 1, y = 1

A:

Q: The equation for the volume of a cone is shown below. Rearrange the equation to solve for the radius...

A:

Q: Consider the solid obtained by rotating the region bounded by the given curves about the line x 3. I...

A:

Q: Find f'(x) for the following (please do not use product, quotient, or chain rules): 4x³–3x²+2x-4 f(x...

A:

Q: 10 (a) g(x) dx 30 (b) g(x) dx J10 35 (c) 9(x) dx Jo

A: Solution:   we have to evaluate the integral from the given graph we know that integration of the fu...

Q: Which of the statements is/are true about the derivative of a function f and the slope of the tangen...

A: Here we use the basic knowledge of derivatives

Q: Differentiate: f(x) = 2ª + e² + log, 5 f'(x) = 2" In 2+ e² A 1 ® f'(x)= 2" +e² + : 1 © f'(x)= 2" + e...

A:

Q: Yes/No Function If no, why not If yes, what is the degree If yes, what is the leading coefficient f ...

A:  We will use basic definition that a polynomial is an expression consisting of indeterminates (also ...