Use a linear approximation to estimate the following quantity. Choose a value of a to produce a small error. -0.04 e -0.04 ... (Simplify your answer.)

Q: S sin*x cos³ x dx C sin5x sin'x + C 7. sinx sin'x + 5 sin x cos'x + C 7 D sin5x cos'x + C 7. 5

A: We know that ∫xndx=xn+1n+1Also, d(sin(x))dx=cos(x)

Q: If f (a) = 3, then if lim f(r) exists, it equals 3. %3D For those who have trouble viewing the Mathe...

A:

Q: Plane area of rectangle

A:

Q: a2 - 3x + 1, r 3 Evaluate the following limits for h(x) = and Justify your answer. (i) lim h(x) I +...

A:

Q: y = V1 + t² dt

A:

Q: How could you find an unknown number missing from a fact triangle?

A:

Q: Let u, v and w be vectors in Cn . Clearly prove that (u + v) · w = u · w + v · w.

A:

Q: 5. [e2y sec ey tan eY dy

A:

Q: Check if the field is conservative, if so, calculate by the Fundamental Theorem of Calculus for Line...

A:   F =2xy i +(x2+2yz) j + y2 kcurl F=ijkddxddyddz2xy(x2+2yz)y2      =(2y-2y)i-(0-0)j+(2x-2x)kcurl F =...

Q: The values of C, and C, so that y(x) = C, e2* + C, e-2* satisfies the %3D following conditions: y(0)...

A: Here, y(x)=C1e2x+C2e-2x...(1) with the conditions y(0)=1,y'(0)=2

Q: 4 Find the value of f'(-1) if ƒ (x) =. (3xr² – 2x +1)

A: we have : f(x) = 4(3x2-2x+1)3 To find :f'(-1)

Q: Find the global minimum of the function f (x) = 1+x² on the interval (-∞, 0) . Write DNE is there is...

A:

Q: Find the arclength of y 2x3/2 on 1 < x < 3

A:

Q: 36x2 + 25 dx x2

A:

Q: 5 2 +2 ) dx using Estimate I - n = 4 subintervals and (a) Left endpoints. (b) Right endnoints.

A: solution:-I=∫152x+2dx,     n=4f(x)=2x+2∆x=5-14=1(a) Left end pointI=∆xf(1)+f(2)+f(3)+f(4)   =14+3+83...

Q: Which of the following is/are true of f(x) =(x+3)*at x = -3? A. Continuous at r=-3 B. Discontinuous ...

A:

Q: Find unit vectors that satisfy the stated conditions. NOTE: Enter the exact answers in terms of i,j ...

A: (a) Given: - The condition is the same direction as -2i+9j. To find: - The unit vectors that satisfy...

Q: 1. Below is the graph of f(x) = |x]. Using the right side of the function with the equation y =x, co...

A:

Q: Exercises: Find the general solution of the following differential equations 4) y"+2y'+y=3e*

A:

Q: Using an appropriate substitution, 3 the integral S dx equals: V1-4(x-1)2 3 sin-1(2x – 2) + C sin-1(...

A: We can find the integration as below using proper substitution.

Q: r 5x² – 3x + 18 dx aln b - clnd x(9 – x²) 12.

A:

Q: Given f(x) = 2-92+20 what should be assigned to f(4) to make f(x) continuous -4 at z = 4? For those ...

A: To solve this question we need to apply the condition of continuity of a function at a given point.

Q: Using integration by parts, the integral 2 f cot-1 x dx equals: 2 x cot-1x+ In|x² + 1| + C - x cot-1...

A: Given problem:- Using integration by parts solve 2∫ cot-1(x) dx 

Q: Remember: 1- Distribute 2- Combine like terms 3- Cancel with addition or subtraction 4- Cancel with ...

A:

Q: Find F' (÷) if F(x) = 2 cos-1 Vx. %3D

A: We will find the value of F'12 where Fx=2 cos-1x in the following step.

Q: - 2x + 1, r 2 Evaluate the following limits for h(x) and Justify your answer. (1) lim h(r) = (ii) l...

A:

Q: 5. If s = t – 5t + 12t², find the velocity of the moving object when its accel- eration is zero.

A:

Q: Using an appropriate substitution, cos x-sin x the integral Jo cosx+sin x dx equals: 0 cosx+sinx 1 -...

A:

Q: Let a = ci + j and b = 2i + 10j. Find c so that a and b are orthogonal. c =

A:

Q: Evaluate the integral. 922-100x-100 2-100x dr = +C NOTE: Enter the eract answer.

A:

Q: Te* sin( –4x)dx

A: Find your answer below 

Q: g3 (*° – 2x² + 1)dx 9. Evaluate the definite integrals (give exact answers): •3 a) | (2x+3)(x – 5)dx...

A: Given that, There are two integral given, a). ∫23(2x+3)(x-5)dx b). ∫121x3(x3-2x2+1)dx We have to fin...

Q: 1. [a4 In xdx

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

Q: : find ualue and eigen eigen vector of matrix A. 10 A = 7 -2

A:

Q: find the afproyimate Value of: (3.01)*+(5-98)²+(2.03)?

A: solution

Q: 4 Find the value of f'(-1) if ƒ (x) = (3r² – 2x +1)'

A: Given,            fx=43x2-2x+13To find : f'-1

Q: 2x if x 2

A: This is a problem of limit and continuity. Function is called as continues if it's left and right li...

Q: Verify that the function satisfies the three hypotheses of Rolle's Theorem on the given interval. Th...

A:

Q: • Use the trapezoidal rule with n = 8 to approximate %3D cos(x) dx Keep at least 2 decimal places ac...

A: USE Trapezoidal rule with n=8 

Q: If f(x) = 3 cot ' + 4, then find the value of f'(-1) is.

A:

Q: S sin(1 – x) (2 – cos(1 – x))* dx A (2-sin(1-x)5 (2-sin(1-x)5 +C +C D (2-cos(1–x)5 +C (2-cos(1–x)5 +...

A:

Q: Sa² -6x +1, a < 6 7-x, x26 Evaluate the following limits for h(x): and Justify your answer. (i) lim ...

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

Q: Sa2 – 6x +1, x 6 Evaluate the following limits for h(x) = and Justify your answer. (i) lim h(x) = (i...

A: As per the guidelines when multiple sub part question are posted in single pic then we are supposed ...

Q: Which of the following best describes the function below? S(x)={3r if.rs2 |x³ if 2<x f(x) =: A. Cont...

A: To check continuity we find left hand limit and Right hand limit. If they are equal then function is...

Q: From the following results, determine whether the function 2x +9, r 9 f(x) = 6. is continuous at = ...

A: Solve for the continuity for the function

Q: inbabitonts, thanks to A rumor, begins to spreaol in a the fart Fhat a member of the population heav...

A:

Q: 3. * S cos(3z)sin1º(3z) dz A 1 C (sin(3z))10 + C 3 (cos (3z))10 + C - -- В 1 (cos (3z))'1 + C 33 1 (...

A:

Q: (y-Vx² +y² )dx – xdy = 0 Solve When: x= 0, y =1

A:

Q: 2. Express in indicated derivative in terms of the function F(r). Assume that F is differentiable. D...

A:

Q: Consider the following function and express the relationship between a small change in x and the cor...

A: Given query is to find the differential.