5. Calculate the area between the Curve fex) = 4-x² and y = 4, y = 2x_4? 20 GMS: S-U 3

Q: 3 5 -3 1 12. 0 2 3 1 5 2 1 5 8 T 16. Find a QR factorization of the matrix in Exercise 12.

A: Concept: According to the Gram-Schmidt process,uk→=vk→-∑j=1k=1projuj→vk→ where…

Q: B)ls w = Ze² analytical function or not?

A:

Q: The eigenvalues of the coefficient matrix A are given. Find a general solution of the indicated…

A:

Q: 2 2(x + 1).In(x ² + 2x + 3) x²+2x+3 $² A) In(x²+2x+3) + c dx = ? B) In²(x²+2x+3) 2 +C

A: According to question,Given Integral,Let I =∫2x+1 lnx2 + 2x + 3x2 + 2x + 3 dx

Q: Find both first partial derivatives. z = 8y2 sqaureroot x

A:

Q: The displacement (in feet) of a particle moving in a straight line is given by  s = (1/2)t2 − 9t +…

A: Use instantaneous velocity concept

Q: Consider the following equations. 3 y = 9- -1/2x², y = X₁ x = -2, x = 2 Sketch the region bounded by…

A: Here we have to find the area and the graph of the functions.

Q: Solve by Gaussian-Jordan algorithm (reducing to rref). Show all row operations you apply. If the…

A: First we reduce in row eclehon form .

Q: Q1A)The vectors A = 3i+j+ 4k, B = 2i - 3j-k, find vector normal to A and In plane of A and, B. cos…

A: According to bartleby guidelines, we are supposed to do only one question. If you want more to be…

Q: ample 23: Show that the function f(x)=1-1-x is continuous on the interval [-1. 11.

A: A function y=f(x) is continuous in an interval [a,b] if it exists for every x∈[a,b] In other words a…

Q: Find the exact length of the curve. x = et - 4t, y = 8et/2, 0≤t≤2

A:

Q: cel You are driving away from home. At noon, you are 212 miles away. Your velocity (miles per hour)…

A: This question is related to distance and speed, we will solve it using given information.

Q: Determine the derivative of y = ln(4x² - 2x). O 8x-2 4x-1 8x-2 4x²-x 4x-1 4x²-x 4x-1 2x2- -x O O

A:

Q: 2. A line passes through the points P(4, -3) and Q(6,2). Write the following equations of the line:…

A: A line passes throughvthe points P(4,-3) and Q(6,2). Write the following equations of line. A) a…

Q: Select all of the following tables which represent y as a function of x. X Y Y X y X Y -3 -2 -3 -4…

A: Explained below

Q: 1. Given a. b. C. [(5x + + + + 1) dx Evaluate the indefinite integral above Evaluate the integral…

A:

Q: (t² + 2t) dx = 2x + 8, x(1) = 1 dt

A:

Q: ▪ Let L:2 y+3 Z+4 X-2 = = and M: 2x - 3y + z = 6 are line and 2 5 plane and let P be the…

A: First we find the intersection point of line and panel

Q: Evaluate the definite integral. 2 X dx 1 + 4x 0

A: Take (1+4x)1/2 = t

Q: B)Convert r = √2 cos (0-) to cartesian.

A: we need to convert polar coordinate into cartesian.

Q: (7) ² Fi²+ Fi²+ ² Fi Fz Cos/20 49=F₁²+ F²-FiFe- tan 8= 48- = 4√3 4√3= F₂S in 190 Fit F₂ Golze $7…

A:

Q: 4 Find the coefficient of the given term when the expression is expanded by the binomial theorem…

A: Find the coefficient of x2y7 in (2x+3y)9 using binomial expression.

Q: . Given 1 [(5x+ + = + 1) dx a. ) Evaluate the indefinite integral above b. Evaluate the integral…

A:

Q: Question 32² If F(x) = √3+ Int dt, what is F"(x)? (Do not include "F" (a) =" in your answer.)…

A: This question is related to differentiation, We will solve it using given information.

Q: Write and evaluate the definite integral that represents the area of the surface generated by…

A:

Q: Find a, b, c, and d such that the cubic function f(x) = ax3 + bx2 + cx + d satisfies the given…

A: Use derivative concept

Q: Give the domain and range. Then, use the graph to find (a) f( − 2), (b) f(0), (c) (1) and (d) any…

A: From the graph, notice that the function is defined on the interval -2,4and it takes value on the y…

Q: Use the method of cylindrical shells to find the volume V generated by rotating the region bounded…

A: Explained below

Q: Determine whether the statement is true or false. True O False 00 [IF If ["f(x) dx and " g(x) dx are…

A: Convergence and Divergence. If the limit exists and is a finite number, we say the improper integral…

Q: 1. Find the length s of the circular arc. (Assume r = 9 and ? = 114°.) s = _____ (not 33.74,…

A:

Q: The plot below represents the function f(x) 8+ 7 4 5 6 5 4 3 2 1 -5 -4 -3 -2 -1 -1 1-24 Evaluate…

A:

Q: d dx (f³x²) = ○ 6x63x² (In b) ○ 6³x² (6 ln b) 6x6³x² ○ xb³x² (ln(6b))

A:

Q: Q5A) Find volume of body from above Z = √√4-x² - y² and below Z Triple integration. 1 using

A:

Q: Evaluate the integral f sin²x cos³xdx.

A:

Q: The total amount of money in circulation for the years 1990-2012 can be closely approximated by M(t)…

A: According to our guidelines we can answer only one question or three subparts of a question. Other…

Q: dx dt 4x + y dy x + 2y dt a) Find the general solution for x(t) and y(t) b) Solve the initial value…

A: Given that,

Q: ind the equation of a line that passes through A(1,-1) and is perpendicular to the line (x,y) =…

A: The equation of a line that passes through A(1,-1) and is perpendicular to the line…

Q: 22 Find the number of connected components for the graph below. b 1 2 3 4 a. 8 d C h

A:

Q: ■ Find equation of plane which is containing Points A(2,1,1) and B(7,5,2) and normal to 2 x - 3y -…

A:

Q: calculate the lengths of all three sides using the distance formula of the non-right angle triangle…

A:

Q: Suppose f is a differentiable function of x and y, and g(r, s) = f(8r - s, s² - 7r). Use the table…

A:

Q: Find the area of the shaded region. r = 1 + cos 0

A: Here, the given curves are r=1+cos θ & r=3 cos θ First of all find the intersection points of…

Q: What is the area of the region bounded by the curves y = sinx, y = cosx, x=0, and x=π/4. Round the…

A: What is the area of the region bounded by the curves y = sinx, y = cosx, x=0, and x=π/4. Round the…

Q: A firm produces a product that has the production cost function C(x) = 440x + 6270 and the revenue…

A: Given :C(x)=440x+6270R(x)=550x

Q: If g(x, y) = x² + y² 6x, find the gradient vector Vg(1, 6). Vg(1, 6) = -4,12 Use the gradient vector…

A: Given that , gx,y=x2+y2-6x find the gradient vector ∇g1,6 and tangent line to the level curve…

Q: Q4A) Find area bounded by y = 0, y = √x - x² using double integration.

A:

Q: There are $448 available to fence in a rectangular garden. The fencing for the side of the garden…

A: Given that , Total available cost = $448 Road side cost = $12 per foot and other side cost = $4 per…

Q: Concept Check: Evaluate the following integrals: 1. f(3u³ - 2u³ +/u) du

A:

Q: Q6A)If y sin find Zxy.

A:

Q: Consider the following curve. y = (x+2)/(x-6) Find the slope m of the tangent line at the point (5,…

A: Here we have to use the concept of derivatives