c. Let h(x) 5x2. Determine the roots of h, as well as the x-value of the vertex of the graph of h. i. Roots: x Preview ii. x-value of vertex: Preview d. What do you notice about the roots of a quadratic function and the x-value of the vertex of the graph of the function? Select all that apply. The x-value of the vertex is the sum of the roots. OThe x-value of the vertex is greater

Q: Identily the asymptotes. Give your answers in exact form. Do not round. *-4x+2x-5 a(x) = X-6 Separat...

A: To find horizontal, vertical and slant asymptote.

Q: Question Given the following table of values, find h'(-1) if h(x) = (x³ + p(x)". %3D -1 1 2 p(x) 5 1...

A:

Q: Find f'(-3) if f(x) = - 7x. f'(-3) = (Simplify your answer. Type an integer or a fraction.)

A: topic - derivative of a function

Q: Identify the vertex, focus, directrix and length of the latus rectum each

A:

Q: Given an autoregressive model y(t) + a1y(t – 1) + azy(t – 2) = e(t) derive and plot the area in the ...

A:

Q: k If u = f(x), then ſ dx x++2x2+1 +C for some constant k . Compute kf(1). x2+1 ... 1 (A 4 1 © -1

A: I =∫xx4+2x2+1 dxI=∫x(x2+1)2 dxu=x2+1du = 2x dxx dx =du2

Q: Initially, 20lb of salt is dissolved into 100 gallons of fluid in a large tank. A salt solution with...

A:

Q: 9. What is the parent function of f (2)? What transformations have taken place, to get from this par...

A:

Q: 5dx Evaluate the æ(x+1)° O a. Ina + In (æ +1) + 5 +C O b. Ina – In (x + 1) – а. 5(x+1) 1 + C 5(x+1) ...

A:

Q: Find the first partial derivatives of the function. f(x, t) = tªe¬x %3D

A:

Q: Determine if the series is convergent or divergent. Hint: First use partial 00 -6 n(n + 2) n = 1 con...

A:

Q: Calculate the real values of x and y such that (x+y)³ is bigger than 8

A: Given: - The expression (x+y)3 is bigger than 8. To calculate: - The real values of x and y.

Q: Use the Ratio Test to determine the convergence or divergence of the series. If the Ratio Test is in...

A:

Q: Identify the vertex, focus, directerix and length of the latus rectum. y= 1/14x2

A:

Q: Write the equation of the sphere if (1, - 2, of the sphere. 5) and (- 1, - 2, - 7) are the end point...

A: Solving question by equation of sphere

Q: Determine the derivative of f(x) = ( In x )6 with respect to x. f'(x) =

A:

Q: I. Solve the inequalities and write the solution in interval notation: 1. 2x +3<7x- 23 2. -8< 2x - 5...

A:

Q: The concentration C of a chemical in the bloodstream t hours after injection Into muscle tissues is ...

A: Here, the given function is: C(t)=8t27+t3, t≥0 is the contraction function with t in hours.

Q: Evaluate the following. (Give an exact answer.) (x, y, 2) dS x² + y² + :2 f(x,y,z) : %3D x² + y? S: ...

A: The value of the given integral is 64/9

Q: Convert the parametric equations of a curve into rectangular form. No sketch is necessary. = Vt, y =...

A:

Q: Find f"(7) given f(x) =- sin(z – 3x) our Answer:

A: Please see the below picture for detailed solution. 

Q: landscaping

A: We will find a linear equation. 

Q: Provide ONE first-order critical point of the curve f (x) = x4 - 8x² + 16 *Input the answer as coord...

A: Solve by derivative

Q: (-1)"+12na" n² + 3 V. Determine the interval of convergence of

A:

Q: Calculate S3, S4, and S5 and then find the sum for the telescoping series s-(.) S = п+1 n + 2 n=3 wh...

A: Given telescoping series∑n=3∞ 11+n-12+n

Q: Given the the parametric curve S x(t) = est – 2t l y(t) - 8t sin t dy (a) Find an expression for dx ...

A:

Q: Solve the differential equation below: Find the particular solution: (D+1)^2 y=3xe^-x

A:

Q: The sum of the series 1 is: A) 1. B) 2. 1 C) D) E) Diverges. A) B)

A:

Q: Select all lines that are parallel to the plane x+ y+ z = 3. OF(t) = T (t) (1, 1, 1) +t(1,1, –2) OF(...

A: We are given a plane x+y+z=3. We have to determine which lines are parallel to the given plane among...

Q: x3-x²+1 4. S (x²+2x+2)² xp

A:

Q: Problem 2: A piece of string whose length is given below is cut into two pieces. One piece is used t...

A: Let length of one piece be x, then the length of the other piece will be 48−x.

Q: Given the following series (-9)" I. E-1(VZ – 1)" II. En-1n10"+1 5n (-1)" En-1 ninn -2n IV. En III.

A:

Q: What is the derivative of (6 x+1)5 (4 x-21)16 (21 x-23)3 (3 x+25)4 y = In with respect to x? [(dy)/(...

A:

Q: The region enclosed by the curve y = sech x, the x-axis, and the lines x= +1In /3 is revolved about ...

A:

Q: In Exercises 17–56, find the most general antiderivative or indefinite integral. You may need to try...

A:

Q: find dy dx 15 In 4+ xe) 6

A: dlnax+bdx = a.1ax+b.

Q: DETERMINE IF THE FOLLOWING FUNCTION IS CONTINUOUS AT THE GIVEN VALUES OF X.  f(x) = 1/x^2 - 9  a. ...

A:

Q: Current Attempt in Progress The quantity of a product demanded by consumers is a function of its pri...

A:

Q: what is (x fyx+ fy) given fCKiy)= ey

A:

Q: 2y 4. у'+ х+1 = (x + 1} %3D

A: 4) Here we have, y'+2yx+1=x+12 Compare with, y'+yp(x)=q(x)  

Q: d'y if-8x-7y = 10. Find %3D dx2 Provide your answer below: -口 dy dx² FEEDBACK

A:

Q: Evaluating Definite Integrals Use the results of Equations (2) and (4) to evaluate the integrals in ...

A:

Q: Find the particular antiderivative that satisfies the following conditions: F' (x) = a* + 5Væ; F(1) ...

A:

Q: Verify that wxy = wyx for w= In (4x + 5y). W. ху Wyx Compare wxy and wyx. Choose the correct answer ...

A: Given query is to find the correct option for partial derivatives.

Q: Find all the points of the graph of y = (x - 2)2 at which the tangent line is perpendicular to the l...

A:

Q: Given Cost and Revenue functions C(q) = q° - 9q° +51q + 5000 and R(q) = - 3q +2600q, what costs shou...

A: Given query is to find the cost for maximum profit.

Q: (ke) 3 (1-In 2-) 1. For Sk*e3* dx = +C.f u= 3x, then k=? 2.

A:

Q: Ql findthe Partal derivativescfirsfand WaltxyZ Second) -W-SinczTメ+-32 Zーメーー -2-Ln(X+24+ろ) @-T-tchlx十...

A: according to our guidelines we can answer only three subparts  and rest can be reposted. 

Q: Use the ratio test for absolute convergence to determine whether the series converges or diverges. I...

A:

Q: Show that f() find that root. (Use five iterations of the method by starting point xo = 1. You need ...

A: Given problem:- Show that f(x) = x3 - 2x - 4 has a root between 1 and 3 and use Newton's method to f...