Thìnking. Inquiry. Problem Solving.[11] (3] 13. Find the equation of the following graph. Give your answer in a vertex form. -8 -6 -4 F2 -6 -8

Q: B 11 a.) Find LA 17 A 18

A:

Q: Find the radius and interval of convergence for the series (n!)2 (2n)! (æ – 5)³n - n=1

A:

Q: A projectile is launched straight up in the air. Its height (in feet) t seconds after launch is…

A: Given query is to find the average height

Q: 197 Find the sine and cosine of - 12 197 Note that 12 Use sum or difference formulas involving…

A:

Q: Find the dimensions of a rectangle (in m) with area 216 m2 whose perimeter is as small as possible.…

A: We have to find the dimensions of the rectangle.

Q: sin x 34. lim 1 - x o0-r

A:

Q: Σ E n=2 n·ln(n)

A:

Q: Make a sine wave model of a musical note with a frequency of 340 cycles per second. Use an amplitude…

A: Find your answer below

Q: Given f () = 7z - 5 and f'(-3) = – 3 and f(- 3) = -1. Find f'(z) 95 5x- 2 - and find f(3) =

A: Given, f"(x)= 7x-5 f'(-3)=-3 f'(-3)= -1

Q: The population of an unknown bacteria in an experimental culture is estimated by the population…

A:

Q: Arctan'ax dx= b Arctan"3x +C , what is b? 1+9x²

A:

Q: Find the directional derivative of the function at P in the direction of v. f(x, y) = x³ – y³, P(10,…

A:

Q: The dimensions of avectargubr region are varying with the bimeltsaccoding 1-2728 cmfsee and wa3t+6…

A: L= 2t2-8w= 3t+6Let A be the area of rectanglegiven : dAdt= 360 cm2/sec   A= L×wA=(…

Q: Evaluate * Vx² – 1 dx.

A: Given,  ∫ x2-1x2dx

Q: Let D be the tetrahedron in the first octant bounded by the coordinate planes and the plane 6x + 3y…

A:

Q: The Plat circular plate has the shape af the region x+y<1. The plate including the boundary Hiw…

A: Temperature at the point (x,y) on the disk  x2+y2≤1 is given T(x,y)=x2+2y2-x

Q: 4. The measurement of a side of a square is found to be 16 in. The possible error in measuring the…

A: We have to find the error in the area.

Q: Let F(x)= ^4sqrt(x) A. Find the linearization of F(x) at x=16 B. Use your answer in part (a) to…

A:

Q: A driver accelerates when the car is traveling at a speed of 30 miles per hour (i.e., 44 feet per…

A: This question can be solved by applying the equation of motion.

Q: Write the form of the partial fraction decomposition of the rational expression. Do not solve for…

A: Reducing to partial fractions

Q: 4. Use the definition of derivative to compute the derivative of the following functions at x 1: a.…

A:

Q: In x 35. lim

A:

Q: Consider the following problem: a box with an open top is to be constructed from a square piece of…

A:

Q: Use mathematical induction to prove the given statement for all positive integers n. 20+10+0+..…

A: We have to prove given statement with mathematical induction.

Q: Evaluate* e/x dx. x3 1 1 еx 1 ex 1 еx + с + ex + c - Option 3 Option 2 1 ex 1 еx 1 еx + с + ex + с -…

A:

Q: Find the area between  F(x) = x^2-5 and the x-axis from x=0 and x=9

A: Given query is to find the area under the curve.

Q: Finding Vertical Asymptotes In Exercises 63–68, find any vertical asymptotes of the graph of the…

A:

Q: Vectors v and w have magnitudes ||ö|| = 2 and ||w|| = 8 and the angle between these vecto What is…

A: Given query is to find the dot product of v and w.

Q: 1. fx³e*/2dx /4 2. S*x sin 2x dx

A:

Q: Find the Fourier series of f(x) as given over one period and sketch f(x) and partial sums: so if…

A:

Q: Let a = (– 3, – 1, 2) and b = (- 4, – 3, 2). Find the projection of b onto a. proj, b =

A: Use the projection formula for the given vector .

Q: Find the gradient of the function at the given point. g(x, y) = 12xe/x, (14, 0) Vg(14, 0) = %3D

A: gradient g(x,y)=(dg/dx)2+(dg/dy)2 dg/dx = 12ey/x + 12xey/xylnx dg/dy = 12ey/x (dg/dx)(14,0) = 12 +…

Q: Expand cos'x as a series of ascending powers of x.

A: We have to expand cos2x as a series of ascending power of x. Recall that:           cos2x =2cos2x -1…

Q: A2. If y = In10 10* then y'= %3D (a) x. 10*-1 (b) x10. In10 (c) 1 L 10* Ina

A:

Q: Consider the function f(x) = cos(2x). %3D 1. Find the Taylor series for f(x) at x = T.

A:

Q: Let I = / (7x + 14y²) dA where %3D D is the region between y = 3x² and y = 12. a) Sketch the region…

A: see below the answer and explanation

Q: 1. Differentiate the following function: y = Jo Hs dt. 1+t3 ctan 2x 2. Differentiate the following…

A:

Q: Let f(x)=x^3-2x^2-4x+104 on the interval [0,3]. A. Find all crirical numbers of F(x) inside [0,3]…

A: We have to calculate absolute maximum and minimum.

Q: the ground. (a) How many seconds after its release will the bag strike the ground? (Round your…

A: Given  Initial height = 32 feet initial velocity = 16 feet per second  a(t) = -32

Q: 30 507 13.

A:

Q: Find the area of the parallelogram that has u = i – 2j+k and v = 3j +k as adjacent sides. NOTE:…

A:

Q: ercise To Try 4 (A piecewise function.) Find the area under the graph of f(r) and ve the x-aris…

A:

Q: simplify

A: We have to simplify  of the given expression

Q: f(x, y) = R is the rectangle bounded by +1 -5<x<5 and 0<y<1.

A: Given function fx,y=1ex2+1Region R is bounded by -5≤x≤5 and 0≤y≤1.Surface area of over region R is…

Q: dx 6. S; ezx+1

A:

Q: Answer the following about the function F(x)=x^4-24x^2+700. Justify all your answers. A. Find the…

A: Given

Q: 4. Consider the polar curve r = sin(30). Set up, but DO NOT evaluate, a definite integral equal to…

A:

Q: Vector p = Vector n Calculate the total sales of all the bicycles. 239, 193, 219 > represents the…

A:

Q: ee) Using the Laplace transforms to solve the following equations: y" + 3y' + 2y = e', y (0) = 0, y'…

A:

Q: 3T/4 18) 3 sec 0 tan 0 de

A: