Evaluate the integral. t2 sin(2t) dt

Q: QUESTION 2 Differentiate of the following function with respect to x. a) y = x³ln (2x) 3x2+10 b) y =...

A:

Q: Determine whether the sequence is divergent or convergent. If it is convergent, evaluate its limit. ...

A: Given that: limn→∞nne-8n

Q: S Vx2 – 8x + 25 dx

A:

Q: What is the magnitude and direction of the resultant? 10 4. 10 diagram 4

A: Given that:                        

Q: 3. (а) х-ахis (b) y-axis y-4-

A:

Q: Compute the following limits. 4-(2+h) (a) lim (b) lim - x-2 h→0

A: Using rules of limits.

Q: Objective: Determine the form of a particular solution for each differential equation. y" – 2y' + y ...

A:

Q: A. Find the differential equation: (1) whose general solution is y = c,e-2x + cze3x (2) by eliminati...

A:

Q: Determine the solution to the initial value differential equation y' = 0.0012 y (2900 - y) y(0) = 13...

A: We have to find equation , Y max and x value for 90% Ymax

Q: Write the exponential equation in logarithmic form. For example, the logarithmic form of 23 = 8 is l...

A: We can convert to logarithmic form as below

Q: 6. On the corresponding grids, draw any curve that satisfies the given conditions. A function where ...

A: Solution is given below:

Q: The contours of f are a sheet faling off to zero not defined parabolas lines

A: Here is the image of the graph in the 3d. Blue is z axis.

Q: 1. Using tables of values, determine the limits of the following. (a) lim (a) (b) lim)2x) (c) lim (-...

A: This question is based on Limits .

Q: 1. Let A, B and C be the vertices of a right triangle in R with hypotenuse BC. Let D be the point on...

A:

Q: 10 -10 At what values of x does ƒ (x) has an infinite limit (as x approaches this value)? Write down...

A: Given: To find at what value of x does f(x) has an infinite limit.

Q: Question 23 Give the coordinates of the center of the circle with the equation x²– 6x + y²=12-4y. Bl...

A:

Q: 1. Graph y = -cos Ex) and y = -(x – 4)² + 1 accurately on the graph provided below. Provide the nece...

A:

Q: Find the value of the line integral given below. (Give your answer correct to 2 decimal places. Hint...

A: Given: F(x,y)=yexy i+xexy j

Q: Use the properties of logarithms to expand the expression as a sum, difference, and/ or constant mul...

A: The given question can be solved as shown in step2.

Q: Find u v. u = 4i - 3j v = i - j V U V =

A: Finding the dot product of u and v

Q: Let   f(x, y) = √y - 2x.              NOTE: The y - 2x is all under the square root! - The contour...

A:

Q: 17. Find the volume of the solid generated by revolving about the x-axis the region bounded by the u...

A:

Q: Find the following limit, then enter your answer in the form a/(x+b)(x+c) 1 If f (x) = find lim x+2 ...

A: This question can be solved using the concept of limit and function

Q: For the given position vectors r(t), compute the (tangent) velocity vector r′(t) for the given value...

A: Part A,             rt=cos5t,sin5tTo find : r'π4  

Q: Use the Pythagoraen Identities to fill in the blanks. 1= 1= :

A: NOTE: Refresh your page if you can't see any equations. . from the right angle triangle, we can wri...

Q: A company's total cost, in millions of dollars, is given by C(1) = 130 -60e where t is the time in y...

A: The company's total cost, C(t)=130-60e-t

Q: y = x², x = 1, y = 0; about the y-axis

A:

Q: 2. Evaluate the following functions using the given relations. f(1) = 4 ; f(2)=-1; f(3) =-3 Given: R...

A: (2). Given:f(1)=4 ;        f(2)=-1 ;        f(3)=-3f(n+1)=5·f(n)2-2f(n-1)

Q: xdx 2. 3-x

A:

Q: Find the solution of the differential equation (x+ Vy² + 1)dx – (y - ху dy = 0 %3D Vy2+1,

A:

Q: For the following exercises, draw the region bounded by the curves. Then, find the volume when the r...

A: Given:       y = 1/ (x+1) , x = 0 and x = 2 

Q: find S z (Inz)? dz

A: Given,            ∫zlnz2dz

Q: Find the horizontal asymptote(s) of the function p(x) f (2) = Va(2) where p (г) — 6а2 — а — 2 and g ...

A:

Q: Find an equation of the plane containing the point P(2,1, –1) and having the normal vector N = -î+3 ...

A:

Q: Find the component form of v given its magnitude and the angle it makes with the positive x-axis. Ma...

A: Use component form for the vector and use the given value 

Q: 2. Evaluate the following functions using the given relations. f(1) = 4 ; f(2) =-1; f(3) =-3 Relatio...

A:

Q: mber of these fish reached 90 thousand in the year whole number.)

A: Given: The number of a particular fish in thousand x years after 1974 can be modeled by f(x) = 223(0...

Q: (+e*)dx e* -In () 3.

A: Given that: ∫(x-1+ex)dxex-ln1xdx

Q: write the given expression in the form of a^2 - u2: 15 + 2t - t^2 is equal to. SUBMIT YOUR SOLUTION ...

A: Given: 15+2t-t2 To write in the form:  a2-u2 15+2t-t2 = -t2-2t-15

Q: Find the Domain and Range x-4 1. y

A: Given that: y=x-4x       NOTE: As per our answering guidelines, we can only answer 1 question or 3 s...

Q: tant dt. 1+ t2 F(x) = 1-2т

A:

Q: 2/3 " tan'x sec'x dx X.

A: Solving the problem by doing the definite integral.

Q: An object moves according to the function h(t) = -t² + 13, where h(t) is the height, in meters, and ...

A:

Q: Write out (but do not compute) 5 other iterated integrals that are cquivalent IT [ f(r,y, 2)dz dz dy...

A: Given:     Limit: ( 0-4 , 0 - y2 , 0 - y )  f(x,y,z) dx dz dy  

Q: Question 15 Find the standard equation of the parabola with focus at (0, – 21) and directrix y = 21....

A:

Q: Write down the first five terms of the following recursively defined sequence. a1 = -5; an+1= -2a, +...

A: Given sequence is  an+1=-2an+5with a1=-5To find the first five terms:  

Q: C. Assessment/Application/Outputs (Please refer to DepEd Order No. 31, s. 2020) Direction: Solve the...

A:

Q: QUESTION 4 Given f(x) = 8x³ + 2x. Estimate the value of ƒ(2.01) using differential. %3D

A:

Q: QUESTION 3 Find dy/dx if sin(2x) + e = 2xy+ In(2y) by using implicit differentiation.

A: Use implicit differentiation

Q: QUESTION 4 Given f(x) = 8x3 + 2x. Estimate the value of f(2.01) using differential.

A: Given that: f(x)=8x3+2x