In Problems 23-28, find the vertex form for each quadratic function. Then find each of the following: (A) Intercepts (B) Vertex (C) Maximum or minimum (D) Range

Q: In Exercises -. , find the derivative of y with respect to the appro- priate variable. 37. y = sV1 –...

A: Since, you have asked multiple questions we will answer the first one for you. If you want any speci...

Q: The axes of the rectangular coordinate system divide the plane into regions, called-----------------...

A: The axes of the rectangular coordinate system dividethe plane into regions, called------------------...

Q: Find the limit, if it exists.

A: Given: L=limx→-∞5x2x+3 For evaluating given limit, we simplify given expression and evaluate the lim...

Q: Find an equation of the form r = f (θ, z) in cylindrical coordinates for the following surfaces. z =...

A: We have to convert the following surface into the equation of the form r = f (θ, z) in cylindrical c...

Q: In Problems 18-19, solve each quadratic inequality. 18. x2 + 6x - 16 <0 19. 3x2 2 14.x + 5

A: 18. We have to solve the following quadratic inequality: x2+6x-16&lt;0 Solving we get, x2+8x-2x-16&l...

Q: The gravitational force, F, on a rocket at a distance, r, from the center of the earth is given by k...

A: F=kr2

Q: find the absolute extrema of thefunction on the closed interval. y=e^{x} \sin x,[0, \pi]

A: y=exsinx,[0,π]

Q: Express the limit as an integral (or multiple of an integral) and evaluate.

A: limN→∞3N∑k=0N-110+3kN

Q: Solve the question below

A: ∫cos6x dxApplying reduction formula with n=6 := cos5x sinx6 + 56∫cos4x dxApplying reduction formula ...

Q: Use L'Hôpital's Rule to find the limit. lim (x² – Vxt + 32x² ) x00

A: Given:     limx→∞(x2-x4+32x2) By using L"hopital's rule            =limx→∞(x2-x4+32x2)·(x2+x4+32x2)x...

Q: Find the domain of each rational function.

A: Consider the rational function Rx=xx4-1

Q: Find the function value. tan 115°

A: We have to  find the value of the function tan115°. Then, tan115°=tan90°+25°=-cot25°=- 2.144506

Q: Evaluate iterated integral.

A: Integration is the process of finding the anti-derivative function of a given function. The integrat...

Q: In Problems 39–43, solve each system of equations. Į 2r + y + 3 = 0 x² + y? = 5 x + y? = 6y x = 3y S...

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question s...

Q: find the zeros of f and sketch its graph by plotting points. Use symmetry and increase/decrease info...

A: f(x)=2-x3

Q: Please solve to the 4th decimal place.

A: How we can find area of rectangles by approximating rectangles : Given a function f(x) where f(x)≥0 ...

Q: Consider the function f(x) = 8x° + 4x° – 10x² – 7. www. Enter an antiderivative of f(x). Do not ente...

A:

Q: Find the volume V obtained by revolving the region between y = x2 + 4 and y = 2 about the x-axis for...

A: To find: The volume V obtained by revolving the region between y = x2 + 4 and y = 2 about the x-axis...

Q: Use a graphing utility to graph each function over the indicated interval and approximate any local ...

A:                              f(x)=-0.2x3-0.6x2+4x-6    on [-6, 4]

Q: find the first and second derivatives

A: Given: y=-3x9-1

Q: Textbook Videos [+] Consider the function f(x) whose second derivative is f''(x) = 9x + 8 sin(x). If...

A: Proceed as shown below

Q: Marcus had 450 dollars. he spent 2/5 of it on a DVD player. He then spent 1/3 of the remaining money...

A:

Q: 5. Consider the function f(x) whose graph is shown below. Determine the following. a. f(-2) f. lim f...

A:

Q: In Problem,plot each pair of points and determine the slope of the line containing them.Graph the li...

A: Given, (4,2) and (3,4)

Q: For Exercises R.4-R.5, find the value of n so that the expression is a perfect square trinomial. The...

A: We’ll answer the 4th question since we answer only one question at a time. Please submit a new quest...

Q: Activity 1. Look at the graphs below. Which of the following is continuous at x = 1? Graph A Graph B...

A: Consider the graphs of the functions: Determine which of the following functions are continuous at x...

Q: Find all values x = a where the function is discontinuous. For each value of x, give the limit of th...

A: Consider the given equation. fx=2+xxx-7 Put the denominator equal to zero. xx-7=0x=0, 7

Q: Suppose that x and y are two positive real numbers so that x + y = 10.Maximize the product xy.

A: To find the solution of the given problem use the second derivative test. Second derivative test: Le...

Q: Find the derivative of the function.

A: Given : y = 5cos9x+1

Q: question attached

A: The value of a definite integral of some function f(x) can be evaluated by considering the area boun...

Q: Find all values of a and b that make -а - х, x<-2 f(x) = {bx? + 1, Vx+b, -2<x<1 x21 continuous every...

A: The function is given by: f(x)= -a-x , x&lt;-2           bx2+1 , -2≤x&lt;1         x+b   , x≥1 Also ...

Q: Using an Identity Use the results of Exercise 137 and a graphing utility to evaluate each expression...

A: Given: (a)arc cot(0.5) (b)arc sec (2.7) (c)arc csc (-3.9)

Q: The count in a bacteria culture was 400 after 10 minutes and 2000 after 30 minutes. Assuming the cou...

A: t = 10 minutesBacteria count = 400t = 30 minutesBacteria count = 2000Count grows exponentially :Bf =...

Q: Evaluate the derivatives of the following functions

A: we have to evaluate the derivatives of thefollowing functions f(x)=sin-1(lnx) ....................(1...

Q: Which of the following is solution of (D3+2D2+D)y=0(D3+2D2+D)y=0 ? a. y=(c1+c2x)e−2x+c3y=(c1+c2x)...

A: We have given  differential equation D3+2D2+Dy=0 Auxiliary equation of diferential equation m3+2m2+m...

Q: If f and g are odd functions, show that the composite function f o g is also odd.

A: given,        f  and g are odd functions         to show f 0 g is also odd 

Q: 35. Does the graph of Sx*sin(1/x), x + 0 f(x) (o. x = 0 have a tangent line at the origin? Give reas...

A: Given: fx=x2sin1x,x≠00,x=0

Q: Graph the following functions.

A: The function: fx=-2x-1if x&lt;-11if -1≤x≤12x-1if x&gt;1

Q: Given f (x) = 2x3and g(x) = 4x + 3, evaluate each expression. (a) f (g(0))

A: Given f(x)=2x3 and g(x)=4x+3we need to find f(g(0))

Q: Assume that the growth of peacocks obey the rule dP — Р3 — 17P2 — 38P dt Here P represents the popul...

A: Autonomous equation.

Q: Approximate to three decimal places usingNewton’s Method and compare with the value from a calculato...

A: x=273273=22+13Apply exponent rule:   xa+b=xaxbx=22· 21322=4x=4· 213x=273  :  x=4· 213  Decimal:  x=5...

Q: The parabola x^2 = -4y is shifted left 1 unit and up 3 units to generate the parabola (x + 1)^2 = -4...

A: To graph the new parabola

Q: Consider the following relationship: (x"A)- = BC where A is a 2x3 matrix, B is a 3x3 matrix and C is...

A:

Q: Estimate the area under the graph of f(x) = ln(x) over the interval [1, 2] using five approximating ...

A:

Q: Let f(x) = x4 – 8a² + 2. Let m be the absolute minimum of f on [1,3]. Let M be the absolute maximum ...

A: Find the derivative of f(x)

Q: Find integral.

A: To find the integral  I = ∫sin10x cos x dx

Q: Find Taylor polynomials of degree 4 at 0 for the functions defined as follows.

A: Find the derivative and the values for derivatives for f(x) at point a = 0. fx=x+273f0=0+273=3f'x=dd...

Q: Find the linearization of f(x) = I at a = 8. What does the linearization approximate for V9 ? O 21/1...

A: The linearization of f(x) at x=a is         L(x) =f(a)+f'(a)(x-a)

Q: The integrals in Exercise  converge. Evaluate the integrals without using tables.

A: ∫2∞ 2v2-vdv =0--2ln2=2ln2  

Q: Consider the triangle shown below. If Ø increases at a constant rate of 3 radians per minute, at wha...

A: