8. Find the area bounded by y=ex, y=x² and x=2. a. 3.1 u² b. 4.1 u² c. 5.1 u² d. 6.1 u²

Q: 1. n² Determine whether the series Σn=13n+1 ln(n+1) is convergent or divergent.

A:

Q: 26 Functions f(a) and g(x) and their first and second derivatives evaluated at z = 1 are listed as…

A:

Q: Consider the equation below. (If an answer does not exist, enter DNE.) f(x) = x4 - 8x² + 2 (a) Find…

A:

Q: First verify that the given vectors are solutions of the given system. Then use the Wronskian to…

A: Please see the below picture for detailed solution.

Q: ९२ e 17 olx

A: ∫1e2(1-x)/dx2x here integration is given  ∫1e2 dx/2x - ∫1e2 dx/2 (1/2)[lnx]1e2 - [x/2]1e2 (2-ln1)/2…

Q: The capacities at which U.S. nuclear power plants are working are shown in table for various years.…

A: The capacities at which U.S. nuclear power plants are working are shown in the table.ft models the…

Q: Tess tried to solve the differential equation = 2xy - 6x. This is her work: dy = 2xy - 6x dx dy Step…

A:

Q: 16. True or False: (a). Every element in a cyclic group (G) is a generator of G. (b). A group (G, *)…

A:

Q: 14 Which of the following is the solution to the following system of equations? [1 2 0 11 0 0 1 0 0…

A:

Q: Given the graph below, what can you say about the function at x = 1? 10 -10 Continuous Not…

A: The objective of the question is choose the given function is continuous or discontinues at "x=1".

Q: The dimensions of Roy and Roger's sandbox are t² meters by t5 meters. One cubic meter of the sandbox…

A: dimensions of the Roy and Roger's sandbox : length =  t2  width = t5 height = v2…

Q: dy Find by implicit differentiation. Then find the slope of the graph at the given point. dx 3x³y =…

A:

Q: what is the lim f(x)9(x) if lim g(x) ln f(x) = +∞ x→a x→a

A:

Q: What is the limo+x².In(x) For answers that are fractions infinity negative infinity write... in…

A: L' Hospital Rule  :   If limx→a f(x)g(x) = 00 and ±∞±∞ form , then               limx→a f(x)g(x) =…

Q: Identify and sketch the graph of y = x² + 1 in R³.

A: Given:

Q: Given the graph below, what can you say about the function at (-1,1)? Not Continuous Continuous

A: The graph of a function is said to be continuous if the value of the function exists for all values…

Q: 9 At what point do the following lines in R³ intersect? h: (x, y, z)=(3, 1, 2) + s(1,0,2), SER 1₂:…

A: Let's find point of intersection.

Q: Identify and sketch the graph of y = r²+1 in R³.

A: Topic = Parabola

Q: 3- اول ** X 2 Sin² Lys y

A: Follow the procedure given below.

Q: Find an explicit solution of the given initial-value problem. √₁-y² dx - √1-x² dy = 0, y(0) = . √3 2…

A:

Q: Give the general equation of the plane containing the point (3,-1,4) and perpendicular to the line…

A:

Q: 8-9 Let A = 2 3 (a) Find 5A +6B. 5A +6B = and B= 9-2 Complete parts a through d.

A:

Q: 10 5(5+10) a/n A ナ B 5+10

A: See the details solution in below

Q: Given the graph below, what can you say about the function at x = 0? Continuous Not Continuous

A:

Q: Question 6c. Consider the region enclosed by the functions f(x) = √√x and g(x) =−x√x+2√x c) Find the…

A: Topic = Area

Q: find the derivative:  c(x)=(x2)500x (the choices are in the image bellow)

A: This question is based on Chain rule differentiation. d/dx {f(x).g(x)} = g(x).d/dx{f(x)} +…

Q: - S™ SX x² cos cyldy dzdx

A:

Q: The graph of f is given below. -2.5 -2 -1,5 Why is f not differentiable at x = 1? Of is continuous…

A:

Q: If c is a constant, what is the limit of c as x approaches a? 0 C a X

A: A detailed solution is given below.

Q: Find the general solution of the given differential equation, and use it to determine how solutions…

A:

Q: 4.z=(y'-2) 3/4-2y ;z= dz dy

A: See the details solution in below

Q: Using the laplace transformation table, evaluate the following, considering any other variable other…

A: A detailed solution is given below.

Q: Using the Midpoint Method, calculate y(0.4) for the following: y' = -5x¹y², y (0) = 1, h = 0.2 1 The…

A: Solution is here

Q: dx 3. If 8c²xy = (x² - y2)2, find- dy

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: B. 2x³ +2y-3y² = 13x Steps 1. Take the derivative of both sides with respect to x. 2. Since the left…

A:

Q: rectangular plot (the fourth side is a er and will not require fencing). Find the dimensions of the…

A:

Q: Find the general solution of the given differential equation, and use it to determine how solutions…

A:

Q: 2- Find xyz dV where D is the region with -1 ≤ x ≤1, x ≤ y ≤ 1, above z = x, and below z = y + 2. D

A:

Q: Which of the following corresponds to the limx→4 (¹2) w when evaluated? 0 4 2

A: Here is the solution:

Q: (i) Find the linear approximation of the function f(x, y) = 1 - xy cos πy at (1, 1) and use it to…

A: Here, the given function is: f(x,y)=1-xycos πy To find the linear approximation of the function. For…

Q: A particle is moving with velocity v(t) = t2-9t + 18 with dista seconds inclusive. The position at…

A: To find the time interval when partical moving right .

Q: Consider the level surface defined by the equation x² + 2y²-32² - xyz = 8, find the following: a)…

A: Given problem:- Consider the level surface defined by the equation x2 + 2y2 - 3z2 - xyz = 8  Find:-…

Q: Let y = f(x), where f(x) = 5x² + 5. Find the differential of the function. dy = X

A:

Q: Which of the following is not a plane? OF- (1,3,4) + s(2,-1,2) + (1,1,1), s,t e R O-(2,4,2) +…

A:

Q: Determine whether the differential equation (4x² − 2xy + 6) dx + (2y² − x² + 4) dy = 0 is exact. If…

A:

Q: d²y Find for the following function. 2 dx y= (3x² +1) -5 d²y dx² =

A: On solving this we will get

Q: Use any method to find the derivative of the following (the results do not need to be simplified):…

A:

Q: Alternative Formula for the Derivative f'(x) = lim Z-X f(z) = f(x) Z - X

A:

Q: 3- Find the area between the parabola x² = 4y and the straight line x-2y + 4 = 0

A:

Q: Given a function, Based on the function, S-3 F(s) = 2 S² +6s+13 a) Determine ƒ(t). b) Based on…

A: