Example 2: Find the parametric and symmetric equations of the line through the points (1, 2, 0) and (-5, 4, 2)

Q: Evaluate the integral: tejat A. 2 1n(e2t-e-2t) +C B. 2 1n(e2t + e¬2t) +C e20-e-2t In(e2t-e-2t) +c - ...

A: To evaluate the given integral.

Q: Evaluate V1-x-dx A. --(x+xvI– x-) +C B. (x+xV1%3=x) +C c. (x+xv1+x-) +C D. -(x-xVT-x-) + C xv1-x)+ C

A: Find your answer below 

Q: Sketch the region bounded by the graphs of y = v1- x², y = 1- y = 0. Find the volume of the solid of...

A:

Q: computes curve length for 0

A:

Q: Calculate the error of approximation with EA for the following functions TC f(x = 4 cos 5x when x = ...

A: We know: lim∆x→0∆y∆x = dydx                                                                         ...

Q: What is the common difference of the arithmetic progression 10, 5, 0, -5?

A: The arithmetic progression 10, 5, 0, -5

Q: Vx2 – 1 2

A: ∫x2-1x2dxIntegrate by parts ∫fg'=fg-∫f'gf=x2-1, g'=1x2f'=xx2-1,g=-1x

Q: С.) 8.3° D.) -345°

A:

Q: Determine the total work, by Green's theorem, performed by the force F(x, y) = field, on a particle ...

A:

Q: Let f(x) = -cos(x). Compute ộ = coto + C1T1 where to = 1 and 1i = x. %3D Compute the discrete approx...

A:

Q: Let y = f (x) be the solution to the differential equation =z- y with initial condition f (1) = 3. W...

A: Given the differential equation dydx = x-y with initial condition f(1)=3. We have to find the approx...

Q: sin x dx

A: This is a problem of integration. Based on the general formula of integration we will solve the ques...

Q: Using integration technique: integration of rational X-4 functions by partial fractions, integrate d...

A:

Q: Let a = ci +j andb = 3i + 4j. Find c so that the angle between a and b is. Round your answers to fou...

A: Topic = Vectors

Q: xdx Evaluate Vx4-16 Vx2+16 Vx2–16 A. + C с. + C 4 Vx²–16 (In In в. + C D. + C 4 O A В O c D

A:

Q: F sin?(20)de c. D. - A. в. A B.

A:

Q: Find the vector component of v = (4, – 1,7) along b = (2, 4, –4) and the vector component of v ortho...

A:

Q: The amount of pollutant M in the atmosphere is decreasing with time t according to the formula M = e...

A: Given:  The amount of pollutant in the atmosphere is decreasing with time t according to the formula...

Q: 23-51. Calculating derivatives Find the derivative of the following functions. 36. y = -x cos x + 3x...

A: topic - derivative of the function

Q: Use Disk Method or Washer Method (for all parts) to set up an integral (without the absolute values)...

A:

Q: Make the indicated u-substitution, and then use the Table of Integrals to evaluate the integral. e6x...

A:

Q: dx Evaluate: J sin x A. 3tan'x ++C C. tan'x +C tanx tan x + C tan 2x D. в. 3tan'x tanx 2tan2x

A:

Q: Suppose that f ƒ (x) dx = 5. Find f(u) du dz а. f(t) dt d. [-f(x)] dx с.

A:

Q: What is the area bounded by the curve x² = -9y and the line y +1 = 0 ? A. 4 sq.units B. 2 sq.units c...

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

Q: Find the average value of f(r) =x-4 on the interval [1, 5]. Give the exact answer in the simplest fo...

A: To Find : Average value of the function f(x)=x-4 on the interval [1,5]   Note : The average value of...

Q: Express the repeating decimal as a fraction in lowest terms. 62 0.62 = 100 62 62 + +... 10,000 1,000...

A:

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

A:

Q: ds s2V9-s? V9-s2 9s

A: Please refer to the image below

Q: Find the area of the region bounded by y = x^2- 5x + 6, the x axis, and the vert çal lines x = 0 and...

A:

Q: Evaluate sin2(x) cos*(x) xdx 32 C. 32 A. 32 в. D. 32 O A В

A:

Q: We have from part (a) that f(x) = 3x- 8 x +8 r-l(x) Sketch the graph by plotting the lines of f(x) a...

A: Find your answer below 

Q: Euler Cauchy Method: Apply Euler Cauchy to solve the Differential Equation (DE) of y' = y - x. Wher...

A: This is a problem related to numerical method. Here two ways are given to solve differential equatio...

Q: Given f(x,y) = 5x sin(3xy). Find fxy(4,2). Give you answer correct to two decimal places.

A: Given f(x,y) = 5x sin(3xy).  Find fxy(4,2).

Q: Scos x vsin x dx (sin x)i-(sinx) +C (sin x)i +(sinx)+c c. (sinx)- (sinx) + C (sinx)i +(sinx)+c A. B....

A: ∫cos3xsinxdx  

Q: What is the common ratio of the geometric progression 3, -6, 12, -24, 48...?

A:

Q: Make the u-substitution u = 5/x, and then use the Endpaper Integral Table to evaluate the integral. ...

A:

Q: a. For the following functions and values of a, find f'(a). b. Determine an equation of the line tan...

A:

Q: For the given function, find all values of c over the interval (, 22) stipulated by Rolle's f(x) = x...

A: To find the value of "c" by using rolles theorem. 

Q: dx Evaluate J x+5 A. Arcsin ( x +2) + C B. Arcsin (x +1) +C C. Arctan (x + 1) + C D. Arctan ( x + 2 ...

A:

Q: 2. Apply appropriate trigonometric substitution to compute the integral 1-4x +2 dx /2x

A:

Q: 9-x2 C: Change to polar and evaluate the double integrals S (x3 + xy?)dydx V9-x2

A:

Q: Find domain and range to the following function Y = tan (cotr)

A: We will see that we have the following restrictions on domain of the function

Q: solve for linear equation y' = x - y

A: To solve linear differential equation.

Q: リ=!-Cos2x 1+(os 2x prove y = 2 tanx .secx

A:

Q: 5-14 1 Solve the differential equation. 5. y' + у — 1 6. y' – y = e* 7. у' — х — у 8. 4x'y + x*y' = ...

A: Given

Q: sec2zydy Evaluate the integral: Jtzy(3+tan-zy) A. In(3+ tan²2y) +C In(3+ tan?2y) +C In(3+ tan 2y) +C...

A:

Q: Find the integral of (1 + 2x)e^(-x) dx from x-0 to x--. A. 3 B. 4 C. 2 D. 1 O A B. DI

A: Use integration by parts for solving it, 

Q: Let an​ be an arithmetic progression, for which a3​=13 and a11​=25. Find a7​

A:

Q: 1. Find the mass of the region bounded by y = ! and y = x² on the interval from x = 1 to x = 4 if th...

A: Let's find. 

Q: Question 7 of 11 > Convert to an equation in rectangular coordinates. 6. r = cos (0) – sin (0) (Expr...

A: