Evaluate the indefinite and definite integral (2e* - 3e-2x) dx

Q: the solution of the given initial value problem. ty' + 2y = sint, y = 7, t > 0

A:

Q: Determine the total area bounded by the functions f(x)=-x2+2 and g(x)=x3-x2-x+2.

A:

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

A:

Q: Find y' tan³ (5x - y) + cos ¹(5x - y) = 100

A:

Q: 10 10y-y² IN - 10y-y² ex² + y² dxdy

A:

Q: Given the graph below, what can you say about the function at x = -2? Not Continuous Continuous

A: A function f(x) is continuous at x=a if and only if limx→a f(x) = f(a).

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

A: Given:

Q: 50° 60° 70° ?

A: To find the measure of the unknown angle in the following figure.

Q: Z = 5 X 4 2 -7x+8 d²z dx2

A:

Q: Evaluate S 2 dx √x4+25

A: ∫1au+b du = 1alnau+b+C

Q: your final answer 2. 54-e) cos(-+ In z) dz 3. Setanx+(tan² x)e+tanx dx S 4. 22x cos²x-ain 2x dx 5.…

A: I am attaching image so that you understand each and every step.

Q: Find the area of the surface generated when the given curve is revolved about the y-axis 1 y=(8x)…

A:

Q: 5. 1-cos2y 1+cos2y dy

A:

Q: You are driving a car away from home. Your velocity (miles per hour) t hours after noon is given by…

A:

Q: A triangle is measured and two adjacent sides are found to be 3 inches and 4 inches long, with an…

A:

Q: x dx 2)√√√27+6x-x²

A: Given, ∫ x27+6x-x2dx

Q: 2. 2y² SS dxdy 1 y

A: Disclaimer: Since you asked multiple question,we will solve the second question for you. if you want…

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

A: The given differential equation,      2y'+y=7t2

Q: b) Maximize the volume of this rectangular box. c) What are the dimensions & volume of this largest…

A: Solved below.

Q: 3 s) Suppose that the direct demand and direct supply functions are q = - - 1 and q = 1 respectively…

A:

Q: If a person's temperature after x hours of strenuous exercise is T(x) = x³ (7- x²) + 98.6 degrees…

A: We have to calculate the rate of change after 1 hours

Q: السؤال الثالث Question Three * Q3. For the motion vector r(t) = et cost i + et sint j , find: (i) N…

A:

Q: Find y. x³y³ + 3x = 8y³ +1

A: Given: x3y5+3x=8y3+1

Q: Solve the given differential equation by finding, as in Example 4 from Section 2.4, an appropriate…

A:

Q: Consider the solid region E inside the sphere x² + y² + z² = 4 and outside the cylinder x² + y² = 1.…

A: This question is based on 3-D geometry.

Q: 12. The graph of y=x² between x=1 and x=3 is rotated completely around the x-axis volume generated.

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: Solve the given differential equation. All solutions should be found. dy 2xy + y² + 6 x² + 2xy dx…

A: First change the given differential equation in the form         M dx + N dy = 0  Then check that…

Q: What is the derivative of y = sin (x³ – 3x)?

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:

Q: Find the average of two numbers (x1, x2) and print" pass "if the average is more than 50 and "not…

A: Given numbers : x1,x2  Average  of number = (x1+x2)/n                 where n=2

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

A:

Q: Find the derivative of each of the following functions using any method. 1.) f(x)= 6x^5 + 7x^4 - 6x³…

A:

Q: 4. How many solutions are there between the plane P₁: (x, y, z) = (4, −3,−1) + s(1, -3,1) + t(2,4,…

A: Plane and line

Q: Find the derivative of f(y) = 2 sin y + sin² y and then use it to find all coordinates on the graph…

A:

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: 3. Consider the vectors X and Y in R³ where X = -i+3j and Y = 4i - 2j + 2k. Find the unit vector…

A:

Q: 2 Heather has a bag of 15 red, 11 orange, 9 yellow, 12 green, 6 blue and 11 purple markers. How many…

A: Heather has a bag of 15 Red ,11 orange ,9 yellow ,12 green ,6 blue and 11 purple. Find how many time…

Q: Use the graph of f to evaluate the following: 6 + f(x) 5 X 4 رها 3 N 1 1 2 4 5 The average rate of…

A: Equation of slope:  Slope =(y2-y1)/(x2-x1) The average change of the function over the given time…

Q: 3 4) Sain ³x cus³x dx 3 a) - + cos²³x (vin³x + ²) + C 2 b) = cos²x (Ain²³x + ²/2 ) + Cc c) - — cos…

A: To evaluate the integral.

Q: 5 Determine the interval of convergence of the series (e-4)" and within this interval determine the…

A:

Q: 2.) Determine whether the geometric series is convergent or divergent. If it is Σ(13) " n=1…

A: To determine  whether the given geometric series is convergent or divergent. If it is convergent, to…

Q: 1. If f(x) = sinx, show that f(x + y)-f(x) = cos x siny - 2 sin x sin² 2 2Y-T

A: 1) Given f(x)=sin(x)

Q: The figure to the right shows the velocity, v (in feet/second), of a runner for 0 < t < 15 seconds…

A:

Q: Let E be the region in the first octant enclosed by z = √√√x² + y² and z = 2. Which of the following…

A:

Q: Find the solution of the given initial value problem in explicit form. y' = (1 - 3x)y², y(0) - y(x)…

A:

Q: Identify ALL the Indeterminate forms involved and determine the limit of: lim, 0+ (cos(x))*

A: We know that               cosπ2-x≤1=cosπ2-xx≤1x So, bt squeeze theorem,               limx→…

Q: Which of the following planes is the equation for the plane with an x-intercept at P(2,0,0), a…

A: The simple use for plane and point and normal vector..

Q: 1. Determine whether the series n=1 3n+1 ln(n+1) is convergent or divergent.

A: : since,1&lt; ln(n+1),for n&gt;2 so, 0&lt;(n^2)/(((3^(n+1))*ln(n+1))&lt;n^2/n^4=1/n^2,  since…

Q: Evaluate: limt o sin 3t t5 (t-1)² using L'Hôpital's

A: Since you have asked multiple questions in a single request we would be answering only the first…