13. Use the inequality sinxsx, which holds for x20, to find an upper bound for the value of sinx dx. The upper bound for the value of sinx dx is (Type an integer or a simplified fraction.)

Q: 29. Show that sin x rif0<1 <2m.

A: Given a function sin x and 0&lt;x&lt;2π To show sin x&lt;x for all values of x such that…

Q: Eliminate n from their equations  X= sin n + tan n and y=sin n - tan n

A: With the help of trigonometric identities we eliminate n from the equations.

Q: 8. Evaluate the integral. sin x xp. 4+ cos x

A:

Q: (c) Prove that sin x 7C sin 2 x2 dx +4x+5

A: The integral function is ∫-∞∞sinxx2+4x+5dx

Q: 10 Use aepropriate substitution Ond then a trigonometric oubtitution to evaleiate the integial. dx…

A: This question can be solved using the concept of integration by substitution.

Q: 4. Evaluate sin (x) cos°(x)dx

A: To evaluate the integral

Q: 2. Evaluate 8 sin x Xx dx

A:

Q: 5) Evaluate the integral: tan 3 x dx

A: Given integral, ∫tan3x dx

Q: -1 We can conclude from the derivative of sin-1(x)and cos-1(x) that sin-(x) + cos¯(x) is constant.…

A: Explanation: find the derivative of sin-1x &amp; cos-1x

Q: What values of x in the interval [0,2pi] satisfy 2 + 2cos(x) - sin2 (x) = 0

A:

Q: 12 If sinh x= find cosh x, tanh x, coth x, sech x, and csch x. 35

A: Given, sinh x = 1235   We have to find  cosh x, tanh x, coth x, sech x  and  csc hx

Q: Find the mean value of sin 2x over the interval (0,x)

A: Solution is given below:

Q: 1 Find the mean value over the interval [0,2n]. 4+cosx

A:

Q: 3. Compute 4 (sin? x + cos? x) without using the derivative formulas for sin x and cos x.

A: Given:

Q: Write ∫ tan2k+1 x dx, where k is a positive integer, in terms of ∫ tan2k−1 x dx.

A: Given integral is ∫tan2k+1dx. Rewrite the above integral as follow.…

Q: 5. Evaluate 1. sin(x2) dx

A: NOTE: You have posted multiple questions, we are giving answer to the first question for you. If…

Q: compute the definite integral.

A:

Q: 2. Use reduction formula to evaluate the integral: sin xdx.

A: We have to evaluate integral by using reduction formula.

Q: 3. Find S sin5 x cos* x dx.

A: Use substitution method

Q: Evaluate the integral. sin(5.x) sin(4x) dx

A:

Q: Use the inequality sin x 0, to find an upper bound for the value of sin x dx.

A:

Q: Solve 2cos (x)- sin(x)=2 exactly for all x in the interval [0,27).

A: 2cos2x-sinx=2⇒21-sin2x-sinx=2…

Q: Estimate the error if P3(x) = x - (x3&gt;6) is used to estimate the value of sin x at x = 0.1.

A:

Q: If tanh(x)=5/13, what is the sinh(x)?

A: Answer is sinhx=5/12. Explanation is given below..

Q: 3. Show that Σ L 1 L-x= 2 2nnx sin L 0<x<L.

A: Let f(x)='12L-x Fourier half range sine series in 0&lt;x&lt;L is bn=2L∫0Lf(x)sinnπxLdx…

Q: /2 Evaluate sin 20 de sin20 x+ cos x 20

A:

Q: 1 Use the inequality sin xs x, which holds for x20, to find an upper bound for the value of sin x…

A:

Q: 4. What is (Cos (x²)} dv 5. What is (tan x³) dx 6. What is (In x)7 dx

A: To find out the derivative.

Q: 1. What is S tan x dx?

A: log|sec x|+c .

Q: Solve for the value(s) of x over the interval 0 < x< 360 sin(2) = - V3

A: values=?

Q: d. Show that sin 8x + sin 4x cos8x-cos4x = -cot(2x)

A:

Q: Estimate the error if P3(x) =x- is used to estimate the value of sin x at x= 0.4.

A:

Q: Use a calculator to compute sinh x and cosh x for x = −3, 0, 5.

A:

Q: Use the inequality sin xsx, which holds for x20, to find an upper bound for the value of sin x dx.…

A:

Q: can this be evalnated by using L'HUSpital's Rule? im x2 3x+ 2 sin(x x)

A:

Q: Evaluate the following integral. 8 sin x sin 2x dx fean: |8 sinx sin 2x dx =|

A:

Q: 278. Suppose that sin(ln x) = 3, and that sin(ln y) = }. If 0 < ln x < and 0 < ln y < , use the…

A:

Q: 9, 9. tan 2x dx 0.

A: Integration basically means to find the integrals, i.e., to assign numbers to function in such a way…

Q: 5. Evaluate 1. , sin(x?) dx

A: #1 intregal

Q: 3 tan-(x)dx = In (4) 2/3 None - In (4) 품-In (2)

A:

Q: Derive a formula for ſ tan x sec "x dx where n 40

A: Integration problem....

Q: 2. Evaluate x sin x cos xdx.

A:

Q: In(tan x) -dp- sin x cos X 3 4

A: To evaluate the given definite integral.

Q: What is q'(x) when q(x)=ln((5x^2+x+7)/((x^2/3)(sin(x)))

A:

Q: 52. Verify that f(x) sin x is an odd function and u fact to show that '3 sin x dx < 1 -2

A:

Q: (6) Given that In= tan" x dx, show that, for n 2 2. %3D In- In-2 = %3D n- 1

A: I think given question is slightly wrong. According to me the required proof should be…

Q: Find the deriva tive Of 6- sin (xy)+ e'

A: Note:- It is not mentioned in question for derivative find with respectvto what variable(x or y) so…

Q: 3-Еxpand In [x' sin x /Vx2 + 1]

A: According to guidelines we should have been able to solve only one question at a time #3 expand

Q: B.Determine the values of n and h required to cprovimate sin3xdx to within 0.0002. Use Composite…

A: Error in calculating the integral I=∫abf(x) dx by using composite Simpson's rule is given by…

Q: Show that 1 − cos x = x2/2 with an error less than 0.003 for |x| &lt; 1/2.

A: Given: 1-cos x =x22;    |error|&lt;0.003Formula:  The…

Percentage

A percentage is a number indicated as a fraction of 100. It is a dimensionless number often expressed using the symbol %.

Algebraic Expressions

In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. It is made up of terms.

Numbers

Numbers are some measures used for counting. They can be compared one with another to know its position in the number line and determine which one is greater or lesser than the other.

Subtraction

Before we begin to understand the subtraction of algebraic expressions, we need to list out a few things that form the basis of algebra.

Addition

Before we begin to understand the addition of algebraic expressions, we need to list out a few things that form the basis of algebra.