Find the S(x* +) dx xe-1 А. 1x? + c e-1 4e xe+1 В. Ix2 + c e+1 2e xe+1 С. 1x3 + c e-1 Зе xe+1 1 D. -+ニx3 +c う。 B.

Q: Find the solution of y' = 2(2x-y) which passes through the point (0, -1) the answer should be y=2x-1

A:

Q: Consider the points A(1, –3, 4), B(2, –5, 2), C(-1, –4, 2), and D(2,3, –5). (a) Find the volume of…

A: Let a,b,c and d are position vectors of point A,B,C and D resp. Therefore a=i-3j+4k b=2i-5j+2k,…

Q: 8 f(x, y) = y/x, P(1,2), u = }(2i + 5 j) |(2i + /5 j)

A: To find the gradient at the given point and then rate of change for the given function.

Q: Evaluate the line integral, where C is the given space curve. xyeY dy, C: x = 3t, y = 2t, z 4t,…

A: Here we have to find line integral.

Q: SHOW THAT THE DIFFERENTIAL EQUATION IS LINEAR EQUATION OF ORDER ONE 3. Vdx + (2x +1 – Vx)dV = 0

A:

Q: 13. Compute the Laplace Transform of f(t) = t°e" +e* sin3t. 4 1 A) (s+ 2)'s² +4s + 13 2 B) (s –…

A:

Q: A forest fire is found at midnight. It covers 1100 acres then. It is spreading at a rate of f(t) =…

A:

Q: Use shells to find the volume of the solid obtained by rotating the region bounded by y = H= 1, and…

A:

Q: Utilize the Lagrange multipliers method to maximize the function f(x, y) = 8x + 18y - 10x2 - 4y2…

A: The given function is  f(x, y) = 8x + 18y - 10x2 - 4y2…

Q: Solve the equation algebraically. Round the result to three decimal places. 3+ln x = 0 8 e-354.598…

A: Using algebra

Q: e2x 2.) S. dx ex – 5

A:

Q: 2ln|x| + 3 ln|x + 1| – * - + C 5x2+11x+2 dx x(x+1)2 2ln|x| + 3 In|x + 1| ++C 4 2ln|x| + 3 ln|x + 1|…

A: Given: I=∫5x2+11x+2xx+12dx   As we know that; The Power rule; ∫ax+bndx=ax+bn+1an+1+C And…

Q: 2r³ – 4x² – x – 3 dr x² – 2x – 3

A:

Q: For the curve given by r(t) = (5 sin(t), –2t, – 5 cos(t)), Find the unit tangent T(t) = (| Find the…

A:

Q: Find the accumulated amount if AED 6,000 is deposited at 2.5% compounded semi-annually for 5 years.…

A: Given query is to find the amount accumulated.

Q: on. 5x(8- х) dx x(8 - x) dx =

A:

Q: Find the moment of inertia with respect to x-axis of the area bounded by the parabola y = 4x and the…

A:

Q: H.W (5) Solve the following differential equations of (3x -6xy)dx+(-3x' -2y)dy 0

A:

Q: Solve the exponential equation algebraically. Approximate the result to three decimal places. 2(3*)…

A:

Q: Area A = 1,427 Calculate the definite integral f(x) dx by referring to the Area B = 2,460 Area C =…

A: Here we will find the definite integral,

Q: Use series to approximate | V1+ x*dx correct to two decimal places.

A: Let's find.

Q: CoS X F 2x 7x

A:

Q: 14th term of the following geomnetric sequence. Find the 1. 2, 4, 8, 0. 昌 唱

A: Use geometric series concept

Q: Evaluate the integral. (5 – 2t + 3t2) dt |

A:

Q: Determine the value(s) of x where the tangent to g(x) = (x + 5)(x2 - 1) is parallel to y = -7x - 8

A:

Q: 17. y dx — (х + бу?) dy %3D 0

A: To determine the solution of the given differential equation.

Q: Find r'(t), r"(t), r'(t) · r"(t), and r'(t) × r'"(t). 5,3K r(t) = t²i - 4tj + 3. %3D (a) r'(t) (b)…

A: Vector

Q: Find the volume of the solid bounded by the cylinder x2 + y2 =16 and the planes y=z, x=0, z=0 in the…

A:

Q: ind [r(t) · u(t)] and Ir(t) x u(t)] in two different ways. dt r(t) = ti + 5t2j + t³k, u(t) = tk (a)…

A: Solving

Q: Solve the exponential equation algebraically. Approximate the result to three decimal places. 2x-5 =…

A: Given data:- 2x-5 = 16

Q: 46n Nhich of the following angle measure (in radians) is coterminal to an angle with measure 3…

A: Given problem:- Which of the following angle measure 46π/3 (in radians) is coterminal to an angle…

Q: Problem 4. Explain whether or not the following sets are subspaces of the given vector space +6] -b:…

A:

Q: integral of 3/(x^2)+9

A:

Q: Evaluate the double integral over the rectangular region { 2(* sin(1) – y sin(z) dA; R= {(x,v) : 0 <…

A:

Q: Find both first partial derivatives. z = 15XVY 15xVy %3D dz az

A: We need to find partial derivative.

Q: Find an arc length parametrization of r(t) = (e' sin t, e' cos t, le') r1(s) = (|

A:

Q: the

A: We will find the derivative.

Q: (9, -7) (3, 1). Find 吕 ロ师仁 ?

A:

Q: Find the moment of inertia with respect to x-axis of the area bounded by the parabola y = 4x %3D and…

A: Moment of inertia with respect to x-axis , Mx= ∫A y2 dA.

Q: A function is defined as f(x) = x3 - x - 11 = 0. Between the interval [2,3] find the root of the…

A:

Q: 1. Do the integration by substitution for the following integral and find the value of definite…

A: We have to find the given integral value.

Q: 4. SET A. Evaluate di/dt, correct to 4 significant figure, when t 0.1 and I 15t sin 3t. %3D

A:

Q: Evaluate r(g(t)) using the Chain Rule: r(t) = (e', e*, -6), g(t) = 5t + 6 %3| 을r(g(t)) = 《

A: Use chain rule

Q: 2. Find the 11th term of the following geometric sequence. 4, 12, 36, 108, ...

A:

Q: im Y cosx t Zx メナロ0 7x¢ し

A: Given query is to find the limit of the expression.

Q: 7. If ā = -i+ 3j + k,5 = 31 – 2k and ĉ = 2î – † + 4k, determine 2(ã +5 – 2€) – (35 - 2)

A:

Q: (a) Alina needs to make a flyer for her band's concert. The flyer must contain 20 square inches of…

A: Multiple questions-"As per our guidelines we are suppose to answer only one question.Kindly re-post…

Q: L, f(x)dx + [° f(x)dx = 5. Si f(x)dx – Sº f(x)dx = 4.

A:

Q: Regarding on the letter c, why is it equated to negative gamma?

A: c) The direction ratio of D→-C→ is -2, 5, -5 from part a. D→-C→ is normal to the required plane.…

Q: 2r-4-x 2-2r 3 in Ir+1+3Inlx-3|+C +1-3hx-31 +C Option 1 Option 2 2 In Ix + 1-31nlx-31+ C 2 In Ix+ 1+3…

A: