21n|sinh (1/2 »)|+C

Q: Which of the following is an improper integral? - dx x² – x – 2 In3e cOsx Ax xe 'dr -2 dx 2x + 8 In(...

A:

Q: Consider the function fix) - sin x. Complete the table below and sketch its graph. 011/6 11/2 Sn/6 7...

A: Solved below

Q: dx For -= In(F (x))+C. What is F (/3) if C=0? (x+x³) (xtan-1(x) + 1)

A: Let's find. 

Q: 2nd deivative vong impliat dipperentiation x'y +y*x = X. -2

A: We can find the 2nd derivative of the given expression as below

Q: 12y – r > -36 ²+4y² < 36 (a) Sketch the graph of the given system of inequalities and shade the solu...

A: Given: 12y-x2≥-36x2+4y2&lt;36 To Find:  a To sketch the graph of the given system of inequalities an...

Q: 1dx

A:

Q: Consider the indefinite integral dx Then the most appropriate substitution to simplify this integral...

A:

Q: Find the vector component of v = 2i – j+ 3k along b = 2i + 3j + 6k and the vector component of v ort...

A: The vector component of  v along b is the projection of vector v onto b is projbv = v.bb2b . The vec...

Q: dy (16) 2xy = x² + 2y² dx

A:

Q: 2. Evaluate lim -4x+1 X-1 x-1

A:

Q: Consider the function f(I)= 6x +5x. For this function there are four important open intervals: (-0, ...

A:

Q: Given revenue and cost functions R(q)=80q−0.2q2 and C(q)=15q+500​, find the quantity that maximizes ...

A: This question can be solved using the concept of maxima and minima.

Q: CHAIN RULE DERIVATIVES Date Directions: Differentiate the given functions. 2.) G(X) - T52"

A:

Q: Consider the function f[x) 3x“ on the interval 7. Find the average or mean slope of the function on ...

A: Given query is to find average rate of change and value of c.

Q: Given cost function C(q)=q3−135q2+26000q​, what is the minimum average​ cost?   It would be ​$enter ...

A:

Q: 3) Determine the value of k such that when f(x) = x* – 3x+ kx² + 2 is divided by x – 2, the remainde...

A: Solution: As per our guidelines we are supposed to answer only? One question ( if there are multiple...

Q: Carbon decays exponentially. How many grams of the carbon will be left in 139 years, if 123 grams we...

A: Initial amount P0=123 grams time t=96 years Amount left after 96 years =P=66 grams Exponential decay...

Q: +00 e-*dx

A: Topic = Integration

Q: Sx-² csc³ () cot () dx A) csc* (?) + c B) – ; csc° (*) + c c)금 csc* (2) + C D) – csc* () + c - 12 E)...

A:

Q: 5. y = XArctanx - In Vi+x

A:

Q: 3x dx 1. S 2x 4-1

A:

Q: The domain of the function f(x,y)=3x+e 1s: D ={cx;y)eR?/(x +Dn² + y² 23} D ={x;y) eR?/(x –1)² +y² <3...

A:

Q: True or False: If 3 In|x-3|+B In|x+2|+C (x-3)(x+2) then B = 5 Select one: O True O False

A:

Q: Using the separation of variable method, solve the following differential equations dy а). = x³ y? %...

A:

Q: Find the indefinite integrals: 15/2 + 4x + 1 a) rp- b) 6t" + + xe' ) dt

A:

Q: Question 9 Cosx -dx, sintx Evaluate the Integral A +C 3sin³x +C sin³x В +C 3sinx -+C sin³x D B.

A:

Q: Show that the vector field A (3x?z + y?)a,+ 2xya, + x³a, is conservative. %3D

A: Given problem:- Show that the vector field A = (3x²z+ y²)ax + 2xyay + x³az is conservative. =

Q: The slope of the tangent line at any point (x, y) on a curve is 2/x. If the point (9, 3) is on the c...

A:

Q: The antiderivative of f(x), denoted by F(x), exhibits an odd symmetry i.e., it satisfies the propert...

A:

Q: 10* -dx may be written as Aln secB*+ tanB*| +C. where A, B, and C are constants not equal to zero. E...

A: ∫10xcos 10xdx Substitute 10x=u⇒10xln 10 dx=du⇒10xdx=1ln 10du =∫1ln 10ducos u=1ln 10∫sec u du=1ln 10l...

Q: dx

A: Given problem:-

Q: Given revenue and cost functions R(q)=80q−0.3q2 and C(q)=14q+550​, find the quantity when profit is ...

A:

Q: fa) - 6x + 5X-! (- o, A).(A,B)(B,C) and (C,) where Important inte A and C are the critical numbers T...

A: Let's find. 

Q: ( (cos(2r) – sin(2x)cos(2x)) -dx =. For +C. What is F (x)? cos(x) – sin(x)

A:

Q: Exercise 7. Let (1 3 0 A = 30 1 0 1 1 1. Find the eigenvalues and associated eigenvectors of A. 2. C...

A:

Q: 1. Consider the curve of the function f (x) = 2x² a. Find an expression for the slope of the curve a...

A:

Q: To evaluate the integral dx x+5x+6 we use the partial fraction decomposition of the integrand. Selec...

A:

Q: 2. Find the slope of the tangent line to the curve f (x) = -1 2 at x

A: Given: f(x)=2x

Q: Find the area bounded by the curve y²=4x, the lines x=1 and x=4.

A:

Q: $ Solve and convert to rectangular form. ti sin sin )

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

Q: hotel rents rooms to customers by the night. The hotel determines that if it sets the price of the r...

A:

Q: n (a) an = (-1)" n+1 (b) an Vn +1 In(n®) (c) an = 2n

A: This is a problem of series and sum calculator. By using several available method we will determine ...

Q: Find the area of the region bounded by the curve y=1--x? and the x-axis. 8 square units 4 square uni...

A:

Q: Let {an}n=1 be a convergent sequence such that a1= V5 and an+1= 5an Compute lim an

A:

Q: C b 630 A 53

A: Topic = Triangle

Q: Solve the inequality. x-2 < 0 X+1

A: Given,            x-2x+1&lt;0

Q: 1-cos 3t 1. Evaluate lim by constructing table of values. 3t t -1 -0.5 -0.01 -0.001 f(t) 1 0.5 0.01 ...

A:

Q: Determine the following information regarding the function + 2(x - 4)- A. f (x) f "(x) Intervals of ...

A:

Q: 1 If- csc 0 – 1 + csc 0 + 1 1 = 2 sec 0, and 0 and acute angle, then the value of (cot 0 + cos 0) is...

A: topic - trigonometric identities

Q: 1. The asymptotes of hyperbola H have equations l1 : 3r-4y+11 =0 and (2 : 3r + 4y-5 = 0. Let C be th...

A: A)l1 : 3x-4y+11=0l2 : 3x+4y-5=04y-11 = 5-4y8y =16y = 23x-4y+11=03x=4(2)-113x=-3x=-1The point of inte...