16. Sketch the region enclosed by y = |x| and y = x2 - 2, and find its area.

Q: If inflation grows continuously at a rate of 6% per year, how long will it take for $8 to lose half ...

A:

Q: Evaluate the integral V4x4 – 12x2 +7 xdx

A: Using integration of square root of x2 - a2 and follow step 2nd . 

Q: Find the local maximum and minimum values and saddle point(s) of the function. If you have three-dim...

A: We will use the following concepts:-

Q: Given the taylor series for ex= 1+x+1/2!x2+1/3!x3+...+1/n!xn Find the taylor series at 0 for e2x^...

A: taylor series for e2x2 at x=0

Q: A table of values is given for a function f(x, y) defined on R = [1, 3] × [0, 4]. 1 2 3 4 1.0 2 -3 -...

A:

Q: 1. dr (0) 플 (6) 를 + (a) (b) r + 2In|피 +c + In피 + c + 2x +c

A:

Q: Solve the following differential equations. Indicate the (Differential Equations) method/s used at t...

A: Using Bernoulli equation. Follow step 2nd . 

Q: dx The integral can be rewritten as - X (a) lim (-2 + 2V1-s) (b) lim (-1+ 2v1 -s) S-00 00--S (c) lim...

A: First we solve integral, put √1-x=t  And follow step 2nd . 

Q: csc S- |cot2즐x)-4cot(를x) +4 Given: Find: u cot -2 O ca) cot 4cot x+4 cot +4

A:

Q: du Form Answer Ssinx Ex. S 3+2cosx -2sinxdx 5(ou -5v3+2cosx + C 3+2cosx 15. Given: dx 3 2sdr a) b) 2...

A:

Q: dx 2V x3 - 3x x

A:

Q: 22. Determine f(x) so that cos(In²x) f(x) dx = sin(In²x) + C (a) 2 In x 2 In x (b) Inx (e) NIK

A:

Q: 14. If we let u = 4x – 1 for the (2tan(4x-1)-3 cos“(4x=1) dx. what will be the cos(4x-1) resulting f...

A:

Q: Vx-3-V9-x 3. lim X-6

A: Solving the problem by finding the limit of th3 function.

Q: Evaluate the double integral. eln 3 3 7 dx dy In x ey In 3 3 7 dx dy = (Type an exact answer in simp...

A:

Q: Describe the sampling distribution of p. Assume the size of the population is 25,000. n= 600, p = 0....

A: Here given that, Population(N)=25000 n=600,p=0.1 Now, n≤0.05N600≤0.05*25000600≤1250 ............(1) ...

Q: Solve the following differential equations. Indicate the (Differential Equations) method/s used at t...

A:

Q: Does the function satisfy the hypotheses of the Mean Value Theorem on the given interval? f(x) = 4x2...

A: We will use the fact that  The Mean Value Theorem states that if a function f is continuous on the c...

Q: What is the resulting integrable form of evx+I x+1

A: We have to find value of given Integral.

Q: C) Replace the following polar equation by equivalent Cartesian equation. rsine Inr + In cose %3D

A: We can replace the given polar equation by equivalent Cartesian equation as below.

Q: (Arcsec sinx)? –9 dx Evaluate cot x, sin?x – 1 Isec-isin xv(Sec-'sin x)* – 9 – 3In|Sec-'sin x + V(Se...

A:

Q: 15 x 15

A:

Q: 2. Let dx be given . If u = e* + 1, then the resulting integral is F(u) du. Compute f(3). (a) 2/3 (b...

A:

Q: -In 3 e* In 2 V4 - e*

A: As per our guidelines we are supposed to answer only one question i.e. the first question. For the s...

Q: Consider ſ* xe-**dx. What will be the appropriate solution and answer to this improper integral? lim...

A:

Q: MAT

A: Graphical representation:

Q: Evaluate the integral tan 4x dx tan? 4x 24 O 1 sec 4x Arcsec + C - Vtan? 4x – 24| +C n tan 4x + 1 -A...

A:

Q: 4. Find the equation of a line tangent to f (x) = –x² – 4x at x = -1.

A:

Q: In (1 - 4x) = - In (1 - 4x) = ア- 4n O In (1 – 4x) = - 4n In (1 - 4x) = Identify the interval on whic...

A: To find the interval of convergence where the series is valid .

Q: Find the Taylor Polynomial of orders n = 1,2,3, and 4 about x=x0 and then find the nth Taylor Polyno...

A:

Q: 7Q b) TR = (Q+3)

A:

Q: y(x^2+y^2-1)dx+x(x^2+y^2+1)dy=0 solve the differential equation

A:

Q: In Exercises 47-62, use a sketch to find the exact value of each expression. 47. cos(sin £) 49. tan(...

A:

Q: Determine the Laplace Transform of the functions shown and simplify.

A: We can evaluate the Laplace transform of the given function by using the following formula.

Q: (x – 2)2 sin(2x2 – 3x – 2) lim log1 r+2+ 3

A:

Q: Find an equation of the tangent line to the graph of the function at a given point. Note: You may/ma...

A:

Q: dP Recall that in a class this week, we discussed a problem where we are given = rP. K К -Р where r ...

A:

Q: dx For the integral , which of the following options is correct? A. lim (x – 1)½|" + lim (x – 1) | B...

A:

Q: the trough is being filled with water at a rate of 0.2m3/min0.2m3/min

A:

Q: Evaluate the integral dx 2xx - 3x? A -In 4 V2x + V3 +C 1 V3+ 2x B In +C 2/3 V3-2 +C In 2/3 "/7x + /3...

A:

Q: Evaluate the integral tan 4x S- Vtan? 4x - 24 O 1 Arcsec sec 4x + C 5 sec 4x + C 5 O 1 Arcsec 20 1 A...

A:

Q: t f be a function that is concave up everywhere. Suppose we would like to use the tangent line at x=...

A: If f is concave up so f''>0 and follow step 2nd . 

Q: Use the definition of Taylor series to find the Taylor series (centered at c) for the function. f(x)...

A: Taylor series of function fx at a is defined as:fx=fa+f'a1!x-a+f''a2!x-a2+f'''a3!x-a3+

Q: 1 Evaluate the integral I+2/3 dr.

A: We have to find value of given indefinite Integration.

Q: eat (A cos t + B sin t) + t²

A: Given function is eαtAcost+Bsint+t2find the laplace transform 

Q: Find the Maclaurin polynomials of orders n = 0, 1, 2, 3, and 4 and then find the nth Maclaurin polyn...

A: In the taylor's expansion when a=0 , then it is called maclarian expansion.    

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

A:

Q: z° – 6z' + 4z – 2 dz |

A:

Q: Determine the Laplace Transform of the functions shown and simplify.

A: Our Aim is to determine the Laplace Transform of the functions shown below:-14cosh (16t)+16sinh (16t...

Q: dx be given . If u = e* + 1, then the resulting integral is 2. Let | f(u) du. Compute f(3). (a) 2/3 ...

A: