Find a function y = ax? + bx +c whose graph has an x-intercept of 1, a y-intercept of –3, and a tangent line with a slope of –1 at the y-intercept.

Q: A young superhero mixes up a batch of goo they can use to fight crime. The recipe for the goo…

A: W be the amount of water C be the amount of cola A be the amount of alcohol

Q: 1. A stone is thrown upward from the top of a tower 50 meters high. Its velocity in an upward…

A:

Q: 5): If A is a n x n matrix such that A0 = In, then %3D A is a nonsingular matrix. Select one: True O…

A:

Q: Find the cylindrical equation for the ellipsoid 4x2 + 4y² + 2² = 1.

A:

Q: Consider the following function. H(x, y) = 7 In(3x²+y³) %3D (a) Find fr(2,3). (b) Find fyy(2,3). (c)…

A:

Q: On a sketch of y= e*, represent the left Riemann sum with n = 2 approximating ff e dx. Write out the…

A:

Q: Find the absolute maximum and minimum of the function f(x,y) = 4y² + 18x – 18 over the closed region…

A:

Q: Find functions f (x) and g(x) (either graph or explicit formula) that satisfy both of the following…

A:

Q: What is the area, in square feet, of the triangle whose sides have lengths equal to 10, 6 and 8…

A:

Q: Find the Taylor series expansion for the following function about c = 1 1 f(x) = 1+2x

A:

Q: 3) Find the missing angle and sides of the triangle below. Round the lengths of the sides to the…

A:

Q: Find the area of the region bounded by 2-2 8-x X= 8 3.

A: We need to find the area bounded by given curvey=2+x-2 and y=8-x3 and x=8

Q: Vx + 2 – 2 Evaluate the limit lim x→2 x2 – 4

A: We can evaluate the limit in the following steps.

Q: For the function f(x,y,z) = sin -(7xyz), find f, fy, and f,. (Type an exact answer, using radicals…

A:

Q: Find all points of intersection of the given curves. (Assume 0 ≤ ? ≤ 2? and r ≥ 0. Order your…

A:

Q: : If a linear system has the augmented matrix 1 3 1 -2 0 Then x1 = 0, x2 = 0, x3 = 0 is a solution…

A:

Q: 31. n! it n n =D1 n = 1

A: The given power series,   ∑n=1∞n!nnxn

Q: Use the limit laws to evaluate the limit. (x-19)2 lim X-19 x-361

A: limx→ 19x-192x2-361

Q: At time t in seconds, a particle's distance s(t), in micrometers (um), from a point is given by s(t)…

A:

Q: Match the indicated conditions with one of the graphs (A)-(D) shown below. 13. f'(x) >0 and f'"(x) >…

A:

Q: 2. For an earthquake that measures 6.0 on the Richter scale what is the amplitude of the energy…

A:

Q: Let f(x) = 2x + 3 and g(x) = x2+ 4x + 3. a) Find and simplify (g◦ f)(x). b) Find f −1 (x) and show…

A:

Q: IV. In each of the following, evaluate | F(t) dt: 4 1. T(t) = 7(t : 1+t î – e-2 ĵ– te' k ; a = 0 and…

A: According to company rule we can answer only first question and rest can be reposted.

Q: A cable lowers equipment into a mine shaft. After 5 minutes the equipment is 243 meters from the…

A: The given problem is solved below in detail.

Q: Find the moment of inertia of the first quadrant area bounded by y=4ax and x-a with respect to…

A:

Q: Determine whether or not the improper integral is convergent, and find its exact value if it is…

A: The given integral,      ∫012x+5x57dx Note:     Multiple questions are given, we are answer with…

Q: Let f(x) = 2x + 3/3x-2 , g(x) = 4x/3x − 2, h(x) = √3x − 12, F(x) = 3x + 4, G(x) = 2x − 3 a) Find the…

A: Solve question

Q: 3. Let f(x) = 1+x + x² + x³ +x* + x³. (a) definition of Taylor polynomials. Find T3(x), the Taylor…

A:

Q: Determine the length of x =(y – 1)3/2 between 1<y< 4.

A: We can determine the length of the curve as below.

Q: Let f(x) = 4x + 3, g(x) = −2x2 + 4. a) Find the average rate of change of g(x) from 0 to 2. b) Find…

A: a) Average rate of change of a function over an interval [0,2] is given by A=g(b)-g(a)b-a Given,…

Q: dy (t2 – 26t + 120) = y dt

A:

Q: What is the general formular for simple linear regression? * a) y = ßo + ß1x b) y = ß1 + ß0x…

A:

Q: Write the integral in terms of u and du. Then evaluate. x(x + 1)5 dx, u = x + 1 (Use symbolic…

A:

Q: Use the graph to estimate the open intervals on which the function is increasing or decreasing. Then…

A:

Q: Determine the extreme values of the ff. functions. f(x) = x^2 + 3 on [1,3]

A:

Q: Find recursive definitions and closed formulas f sequences below. Assume the first term listed is 1.…

A:

Q: Find the function satisfying the differential equation f'(t) – f(t) = -2t and the condition f(2) =…

A:

Q: Find all values of k for which the function y = sin(kt) satisfies the differential equation y" + 8y…

A:

Q: +2=0 (p) (e) In e -lna4 In 3 In r 4 In 3 (f) log16 Vr +1 = 4 %3D

A: In these equations x value exists only if the equation is valid.

Q: has 1100 ft of fencing to fence in a rectangular horse corral. 550- x (a) Find a function that…

A:

Q: Find the area of the region bounded by = y ; x=2y²_4

A:

Q: Find the power Series representation for the furiction and determine the radius of convergence.

A:

Q: + 4n V1 + n?

A:

Q: dy х+3у. dx 2х

A:

Q: Write the quotient in standard form. 3 5 – 9i

A:

Q: x*+1 dx = 0 y

A:

Q: Confirm that the Integral Test can be applied to the series. Then use the Integral Test to determine…

A:

Q: H.W 1. Test the convergence and divergence of the following series, find the sum of convergent…

A: As per our guideline we are allowed to answer only one question. Kindly repost the other question as…

Q: Prove AX (BUC) - (Ax B) U (AxC)

A:

Q: Find the limit. 6x + 2 lim e 6x+ 2 =(Type an exact answer in terms of e.)

A: