Evaluate 1 foto dx. 6 + e-4x -dx 1 6+e - 4x = + C

Q: The value of limx→0 ex-1-x x² by using series is о о -1 O 0.5 O 1 O -0.5 O

A: Solving the following limit problem,

Q: 28. Using the method of "First Principles" and showing all steps, determine the -3 2x-1 properly…

A:

Q: f(x) = 2 cos x - cos 2x.

A: Given function f(x) =2 cos x - cos 2 x    ; [0, 2π]

Q: Find the volume of the solid whose base is a circle with radius 12 that has cross-sections…

A: Recall that the volume of a solid, if the cross-section is perpendicularto the x axis, and its area…

Q: y' = x - 4xy

A:

Q: Y=(3x+4)² find dy/dx

A: Y=(3x+4)² find dy/dx

Q: The radius of a circle is increased from 2cm to 2.03cm find approximately increase in area

A: Solving using differentiation

Q: Which of the following vectors is in the same direction as the vector a = 5i - 4j + 3k? Select one:…

A:

Q: a particle moves along a curve x = t^3+1, y=t^2, z=2t+5 , where t represents the time . its velocity…

A: Velocity is obtained by differentiating the position function

Q: plz provide answer for question asap

A: Please see the below picture for detailed solution.

Q: If [ f(x) dx = 18, then √ (f(x) + 4) da is equal to: A B с D 20 22 25 30

A: Evaluating the given definite integral

Q: 6 If f f(x) dx=19 and fo g(x) dx=27, then, find 6 (5 f(x)+g(x))dx. O-68 O 46 O 122 O None of them. O…

A: Solve the given

Q: Solve the given differential equation by separation of variables. e-y + e-5x - y exy dy dx

A: To find the solution of D.E.

Q: L[-te-at * u(−t)]:

A: Solution given below

Q: Set up, but do not evaluate, an integral for the area of the surface obtained by rotating the curve…

A:

Q: The vectors a = : (4, -10, 8) is perpendicular to the vector b = (8,-8, -14). Select one: True O…

A:

Q: In Bernoulli equation y' - xy = xy³, the value of 1(x) is ex² False True O

A:

Q: Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an…

A:

Q: 2. Factor. a) x² 18x + 81 b) x² - 2x - 15 c) x² + 2x - 24 d) x² + 6x-40 e) x²+x-30 f) x² + 3x-35 g)…

A: Please follow the next step.

Q: = Find the volume of the parallelepiped determined by the vectors a c = (2, 3, 1). Volume =…

A: The volume is given by scalar triple product of vectors.

Q: Tutorial Exercise Complete the given relative frequency distribution and compute the stated relative…

A: Solution

Q: The triple integral ³(12xze²y²) dxdydz is equal to 3(e − 1) False O K True

A: Solution given below

Q: Choose x such that the following two vectors are parallel u= and v= O -7 O None of the others 07 O…

A:

Q: Find the area of the surface obtained by rotating the curve about the x-axis. Select the correct…

A:

Q: (1) (x²+2x) dx = (3 - In x²) dy separable exact linear in x linear in y homogeneous Bernoulli in x…

A: As per our norms we have to write one question at a time kindly repost remaining questions.

Q: 1.5(8x³ - 6x² + 12x − 9)dx - 2.S √x(x² − 3x + 2)dx • (x-1)² dx √x 3.f

A: Note: Since you have posted multiple questions we will solve the first question for you. If you want…

Q: The area enclosed by one petal of the polar curve r = cos20 is False 718 True O

A:

Q: B-Find the area of the region inside the curve 1+cos@ and outside the curve -1 and graph the two…

A:

Q: Calculate the area of the plane region bounded by the function Y=X²-4X +5, and the line that passes…

A:

Q: Find the curvature K of the curve. r(t) = etcos(t) i + etsin(t) j + et k

A:

Q: If √²₁ √√1-y² x² + y² dxdy is changed to equivalent integral in polar coordinates, then the…

A:

Q: The integrating factor for the differential equation (xy³)dx + (x²y² + 1)dy = 0 is

A:

Q: 5. A spherical balloon is being inflated at a rate of 10 cubic centimeters per second. dr A. Find an…

A:

Q: 10) If 2 an = 12, then lim an = 848 n=1 (A) 1 8 (A) If lim 11) Suppose an > 0. Which of the…

A: Note:Our guidelines we are supposed to answer only one question. Kindly repost other question as the…

Q: (g) y dx = (y - xy²) dy Oseparable exact linear in x linear in y Ⓒhomogeneous Bernoulli in x…

A:

Q: A-Show if the series is convergent or divergent (2n)! 2n n²

A:

Q: Evaluate the following integral using change of coordinates: SR S x³ + xy² dady where R is the…

A:

Q: Find the average value OF: f(x) = 2 sinx + 3 cosx on the interval [0, π] Average value= OF C is the

A:

Q: .1 The evaluation of 2xe³ dxdy is 3e-1 O e-3 -1 e- None of them O -3e O

A: To find out the double integration.

Q: Evaluate the following integral using inversion of order: of 2³ dydx Remember to show complete…

A: Given integral ∫01∫x3x2 x5  dy dx

Q: 6. Which substitution can work to compute for the indefinite integral fx√√x + 5dx? A. u=x C. u=x+5…

A: we use substitution method to  find the value of integral

Q: x fare cos = dx 2

A: Indefinite Integration

Q: The z-transform of [n] = u[-n] is

A: Using Z transform

Q: Evaluate the following integral: 2² ²₂ 2² x+yz dædydz

A: Solution given below

Q: Express in p/q form 0.005

A: Express in p/q form 0.005

Q: Test the series below for convergence using the Ratio Test. n+ 3 3n+3 The limit of the ratio test…

A: you have entered value of an instead of f(n) .

Q: sinx13 cOSX on the interval [0, π] Average value=

A: According to the company rule we can answer the first question and rest can be reposted.

Q: \(\) The geometric representation of the equation -4x² - 4y² = -12 is not a cylinder in R². Select…

A:

Q: 2" The value of p for the series En=1 by using ratio test is n! -1 O 8 2 0 ( 1 O

A:

Q: Given the series: 1 1+ + + 9 27 does this series converge or diverge? diverges converges 00 If the…

A: