Evaluate S(5 – 3x) dx using geometry. | 1 3.

Q: Write each complex exponential function as a sum of its real and imaginary parts: (4.053 + 2.042 i)…

A: Write the complex exponential function as a sum of its real and imaginary parts.4.482+4.681…

Q: Evaluate the definite integral. e6t i + e¬j +t k )dt O e6 - i - e- 6. + (e* – 1) i – (e-1 – 1) j + k…

A:

Q: t2 + 5 1 lim →+∞\ 9t2 + 10' 2t (?, ?)

A: Given

Q: The​ temperature, T, in degrees​ Fahrenheit, in a​ car's radiator during the first 4 minutes of…

A: Let's find.

Q: dx 1-S, 4+x2

A:

Q: Show the solution.  1) What kind of triangle whose lengths of the sides are 11, 15, and 9? 2) A…

A:

Q: I. Evaluate f V A 4x + 4x + 5dx

A:

Q: 1. Find the area bounded by a curve y? = 9 - x and the y - axis. %3D

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: ||r(t) × r"(t)|| ||r()* Use the formula k(t) to find k(t). r(t) = 8 cos(6t)i+8 sin(6t)j+ 7tk K(t) :

A:

Q: 1. y = In(x? – 7x) 2. y = x³ In(x? + 3) 3. y = In(x? – 1)³/4x + 2 4. y = In v4 – 3x -

A: Note:- As per our company guidelines we are supposed to answer only first three sub-parts. Kindly…

Q: ニ1 近。 Question 2 D. O E OA 3. (A) 3. 3. (). 32 3. (C) 16. (B) zg (7) The area of the region enclosed…

A: To determine the area of the region enclosed by the graph of  y=x2+1, and the line y=5.

Q: uate the integral dx. /1+x

A: Given  jkjbb

Q: how do you find the equations of each of the lines (A,B,C(A,B,C) shown on the graph below.

A: As we know that; The equation of the line when it passes through the two points Px1,y1 and Qx2,y2.…

Q: 1. f'(x)dx if f(2) = 1 2. f(x) = S(x² + x – 3)dx if f (2) = 3 3. f(x) = S xe*dx if f(2) = 3 4. f(x)…

A:

Q: Problem Write step-by-step solutions and justify your answers. 'Solve the initial-value problem y" -…

A:

Q: 17 ind the Maclaurin series for f(x) = 1+x

A: Follow the procedure given below.

Q: 3. Determine the differential coefficient of y + 2x - 3 when x = 7 %3D

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: d Calculate r1(t) · r2(t)] and dt [ri(t) × r2(t)] first by differentiating dt the product directly…

A: In this question we have to find differentiation.

Q: 12.) Find the area inside r = 4- 2cos(e) and outside r -6 + 2cos(e)

A:

Q: Ans: -+ cosx c 1. y' +y2 sin x = 0

A:

Q: 15 / 17 116% C. Directions: Solve for the derivative of the following functions using the indicated…

A:

Q: 17. Graph the line that passes through the given point and has the given slope: 5 (-3, -2) т%3D

A:

Q: The auxiliary equation of the homogeneous linear equation y" – 24y' – 16y = 0 is m2 – 24m – 16 = 0…

A:

Q: Find the domain of r(t) and the value of r(to). NOTE: Round your answer to two decimal places when…

A: given  r(t) = cos(πt) i - ln(t) j + √(t-4)k ; t0 = 5  Have to find domain of r(t) and valu of r(5).

Q: Approximately the greatest error in calculating the hypotenuse of a right triangle from the lengths…

A: This question can be solved using the concept of total derivative.

Q: Given the curve y=x2 and a point (5,17) Find the x intercept of the tangent line to the curve…

A: We have to find x-intercep for the given Questions

Q: sin(3x)e°*dx

A:

Q: C is polygonal path from (0, 0) to (3,0) to (3, 2); the sur- face is f(x, y) = 2x +y

A:

Q: Solve the initial value problem below using the method of Laplace transforms. y" - 5y' – 6y = 0,…

A:

Q: Ans: 2x(x - a)y' = y(3x- 2a) 7. The cubics cy? = x² (x - a) with a held fixed. %3D

A:

Q: Evaluate the integral sec? r Vtan3 x dx. (a) tan x + C 2 (c) = tanš x + C (b) ; tan? r + C 2 (d) =…

A:

Q: Two linearly independent solutions of the differential equation y" + 6y' + 9y = 0 are Select one: yi…

A: characteristic polynomial  r2 + 6r + 9 =0 (r+3)2 =0 r = -3 solution of this eqaution is y(x) =…

Q: Determine whether the planes are parallel or identical. -5x + 2y – 8z = 6 10x – 4y + 16z = 11 The…

A:

Q: Find the area bounded by the curve y = 4x - x2 and y = 3.

A:

Q: Given the differential equation y" - 4 y' 8 Using Reduction of Order and the letter "R" to this…

A:

Q: Verify Green's Theorem by evaluating both integrals an aM dA y² dx + x² dy = |/ əx ду for the given…

A:

Q: x3 +4x2+37x+58 6. S: x(x2+4x+29)

A: To evaluate the given integral.∫x3+4x2+37x+58xx2+4x+29 dx

Q: Given the differential equation 8 x y" = Using Reduction of Order and the letter "R" to this…

A: Given query is to find the value of R.

Q: Given the differential equation 5 y" = 7xy' Use Reduction of Order and the letter "R" to reduce the…

A: Let y' = R So, y'' = R'

Q: Ti al Write step-by-step solutions and justify your answers. Solve the initial-value problem y" +y -…

A:

Q: Determine whether the lines intersect, and if so, find the point of intersection. (If an answer does…

A:

Q: QUESTION 4 At noon, Ship-A is 210 miles east of Ship-B. Ship-B is sailing due east at rate of 30…

A:

Q: da. Evaluate the integral Ja2 + 25 1 (a) -( :+ 25)을 + 25(교2 + 25)을 + C (x2 (e) * + 25) + * + 25) +C…

A:

Q: f(x) = (1² + x)}!O(2r +1) 2. g(x) :

A:

Q: Solve the boundary value problem y" – 10y + 25y = 0, y(0) = 3, y(2) = -2. || %3D

A:

Q: Solve

A:

Q: 2. Sketch the region whose area is represented by the integral 6 Siz dxdy.

A:

Q: Given that yı = 3e is a solution of the differential equation y" + 3y = 0. Then, by using reduction…

A: Here we have to use reduction of order.

Q: Evaluate the integral aV3 +5 dx. 1 (a) ;(²³ + 5) + C 1 (c) - (22 + 5)을 + C (b) –;(2³ + 5) + C 1 --…

A:

Q: 1+ cot(t) 1+ tan(t) Simplify to a single trig function with no fractions. Submit Question

A: