Sy = 4 +

Q: 2. (x + 2) dæ: (x + 3) sin y cos y dy In(a + 3) sin y %3D + C ans. x -

A: (x+2) dx = (x+3) sin y cos y dyUsing the method of variable separable;x+2x+3 dx = sin y cos y dy   ∫...

Q: Use sigma notation to write the Taylor series about x = xo for the function. 6 In r; xo = 1

A:

Q: Given: S 5x? cos 3x³dx. If u = 3x³, then the resulting integral is S f(u)du. Find f ():-- 5/7 A 2 5/...

A: topic - functions and indefinite integral

Q: Question 20 csc x du 3T If u = f(x), then dx = Compute f и sin x – cos x A B 1 D -1

A: We have to solve our question

Q: Evaluate the integral. |a cos(6 z) dz =| %3D

A: Topic:- integration

Q: e3x Let dx be given . If u = e* + 1, then the resulting integral is S f(u) du. Compute f(3). ex+1

A:

Q: 1. 4(х- 3) 2. 2x( 2x + 2) 3. Зx(x-4) 4. 4x(x +7) whn

A:

Q: Gravel is being dumped from a conveyor belt at a rate of 30 cubic feet per minute. It forms a pile i...

A:

Q: メ+

A:

Q: Find A

A: A={4-1 22-4 21-2 1}Multiplying Row-3  by 2;A=12{4-1 22-4 22-4 2}[As multiplication by scalar effects...

Q: 3 21 2 8 -1 -7 -2 -24 Using polynomial interpolation of the data above, find: a. the degree b. the p...

A: The given values are: We will use the Lagrange Interpolation Formula to find the polynomial.   Lagr...

Q: Consider the expression ſ V4 – x² dx = F(x)+C. The expression %3D F(2) – F(-2) is equal to

A: Here we have to evaluate F(2)-F(-2)=? We have, ∫4-x2dx=F(x)+C

Q: Set up a definite integral with respect to x (dx) (set up only, do not evaluate the integral) to fin...

A:

Q: Obtain the differential equation of the family of circles having their centers on the x-axis.  (x-h...

A:

Q: Use integrating factors to solve (x² + y² + x)dx + xydy = 0. %3D

A:

Q: Evaluate the integral using tabular integration by parts. 4 x V2 x +1 dx +C %3D

A: LetI=∫ 4x32x+1dxPut 2x+1=u2x=u-1x=u-12differentiate 2dx=dudx=du2I=∫ 4u-123udu2I=∫ 4u-138udu2I=∫ 14u-...

Q: B= 4 7 8. A= 2. Find 1-Matrix C. 3B 2- Matrix D - AB inNN

A: Given A=352252 and B=204768C=3B=3*204768               C=[6012211824]

Q: Find the equation of a TANGENT LINE in SLOPE-INTERCEPT FORM to the given curve below y = 4x? 2x +3 |...

A: y = 4x2 - 2x +3 at x =0 y = 3 so point (x,y) = (0,3) we need the slope of line so slope = dy/dx slop...

Q: Find the differential equation whose solution is given by: y^2=4ax

A: To find the differential equation for               y2 = 4ax differentiate this equation with respec...

Q: (2x +)x dx | (28 + 4x5 + 4x²)? sing u-substitution and transformation of the integrand, then the p c...

A: We will solve the integration using substitution. 

Q: Which of the following expressions are equivalent to cos(20) .? tan(0) Choose all answers that are c...

A: cos(2θ)tan θ =cos2θ - sin2θsinθcosθ              = (cos2θ - sin2θ) cosθsinθ             = cos3θsin θ...

Q: Explain why limit exists or does not exist. (z-2)(z-2) lim log1/3 \sin((2z+ 1)(z-2)) Z→+2

A: Solution is here 

Q: Find The artlal Auatives (first and Seond

A: Since the student has posted multiple questions and does not mention any specific question, so we ar...

Q: Ql findthe Partal derivativescfirsfand WaltxyZ Second) -W-SinczTメ+-32 Zーメーー -2-Ln(X+24+ろ) @-T-tchlx十...

A: according to our guidelines we can answer only three subparts  and rest can be reposted. 

Q: 4. The company uses wood and labor to produce tables and chairs. Recall that unit profit for tables ...

A: Follow the procedure given below.

Q: Determine the following equation if it is Homogeneous IVP, First, second, higher order equations and...

A:

Q: Find the general term of the sequence, starting with n = 1. Determine whether the sequence converges...

A: Given:

Q: Consider x(1+tV dx and using u-substitution in rewriting the integrand as a function of u and du Det...

A:

Q: find the function y(x) satisfying dx/dy=5x ^(-6/7) and y(-1)=-2

A:

Q: Car A is traveling west at 50 mi/h and car B is traveling north at 60 mi/h. Both are headed for the ...

A:

Q: Find the radius of convergence of the power series. (If you need to use o or -00, enter INFINITY or ...

A:

Q: Determine the critical numbers of the ff. functions.

A:

Q: Use sigma notation to write the Maclaurin series for the function 5 In(1+x) Σ

A: To find: The Maclaurin series of the function f(x)=5ln(1+x). Concept used: The Maclaurin series is f...

Q: p-

A:

Q: Evaluate the following indefinite integrals. 1. Jx²dx 2. S(x³ + 2x)dx 3. S(a)dt :a = constant

A: Solving the problem by finding the indefinite integral.

Q: Determine the quotient and remainder if P(x)=x'+6x'+2x'+x-3 is divided by D(x)—x'—2х—1

A: Topic = Algebra

Q: 12 1. Given that sine and 0 < 0 <", find sin(20) and cos(20) 13'

A: We know in the first quadrant that is 0&lt;θ&lt;π2 both sin and cos take positive values. cos(θ)=±1-...

Q: Q6) Evaluate the following integral by using Odd and Even Powers Method: y = cos* (;x) dx

A: y=∫cos412x dx

Q: 9. Evaluate f(e* + 2*) dx a.) 2e* + +C In2 b.) er + 2ln* + C c.) e* ++c d) e* + 2ln x + C In2 10. Ev...

A: Evaluate integrate. And follow step 2nd .  According to guidelines we solve only first three parts. 

Q: Solve the system of linear equations given below. -11х1 + 13х2 — 15хз + 25х4 %3D 101 -19x1 + 33x2 + ...

A: Here is the solution

Q: Use the ratio test to determine whether the series converges. If the test is inconclusive, then say ...

A: This is a problem related to series calculation. Based on the ratio test we will determine the natur...

Q: Determine whether the series converges, and if so find its sum. If the series diverges, indicate tha...

A:

Q: The integral / 2' )cos(2*) dx takes the form k cosu du when u=2* and f (x) =x- 5. What is the value ...

A: we use the formula ddx(ax)=ax lna

Q: I. Solve each of the following by forming exact differentials. 4. (2x° + 2xy – xy)dx- (x+ 2x²y+ y° )...

A: We have to solve  (2x3+2xy2-xy)dx - (x+2x2y+y3) dy = 0       ... 1 By forming exact differentials.  ...

Q: 3. Is the function given by Sx-4x-5, メ<5 X-5 2. continccus at x =52 Why ar whynot ?

A:

Q: Find the Taylor polynomials of orders n = 0, 1, 2, 3, and 4 about x = xo and then find the nth Taylo...

A: To find the Taylor polynomials of orders n=0, 1, 2, 3, and 4 about x=x0 and then to find the nth Tay...

Q: Determine whether the following sequence is convergent or divergent. Justify your answer. {1+u^ = w^...

A:

Q: ssume that you are given the two matrices A and B below. If the multiplication matrix is qual to C, ...

A:

Q: (-4x-12) dx For J x+10)³ (x-4)³ F(x) – 1. What is F(3)? -

A: Given: ∫-4x-12x+103x-43dx=Fx-1   ...(1)  

Q: Find the derivative of y with respect to x for y = sinh 1(11/15x). dy 165 dx 2/1815x? + 15x

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