15x²x³43x - 19 The integral (x + 1)²(x² - 6x +13) Ax + B What is the value of x²+bx+ca -dx? 3 A Arctan | + In|x² − 6x + 13| + C B Arctan (3) - In/x² - 6x +13| + C 1 - 3 Ⓒ/ Arctan (²³) + C C 2 2 D In|x² − 6x + 13| + C dx can be rewritten as Ax B C D S[0x²41 4+bx+c + (mx + n) ² + √x+s]d dx

Q: Question 7 10 -8 -6 -4 -2 8 10 -2- -4 -6 -8 -10 Write an equation for the graph, where y depends on…

A:

Q: Explain why you think the sequence -2, 25 125 " ... 8 2 32' . converges to a finite number or…

A:

Q: Question 12 5x + 5 Given: f(x) 4z-4 Find the inverse function, f-¹(z). =

A: Given query is to find the inverse function.

Q: [sin³ (2) cos(4) dx

A: Follow the procedure given below.

Q: 4. Determine the limits: a) b) 4x²-8xy lim (x,y)-(2,1) (x²-xy-2y², lim (x,y) → (0,0)…

A:

Q: 11. Given: √√√-x² + 4x +5 dx. Using trigonometric substitution, what is the integral form in terms…

A: The given integral is: I=∫-x2+4x+5dx That can be written as:…

Q: Using partial fraction in evaluating Ⓒ-1/2 (2x+1)+ 7/7/ A B 2x-6 © 1/2-(2x+1)= 1/7/2 D 6-2x…

A:

Q: quotient (Express numbers in exact form. Use symbolic notation and fractions where needed.)…

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

Q: 7. Determine all relative extrema or saddle points: f(x, y) = 4x³ + 8xy - 2y²

A:

Q: The equation z² + 71-3-0 has two solutions A and B where A <B and A and B Give your answers to 3…

A: The given equation,          x2+7x-3=0

Q: I need help on number 12. Thanks!

A: 12. The given differential equation is y'-y=0  .................................. (1) We assume the…

Q: 0 X State in words all the transformations necessary to obtain the graph of y=2f(x-2) from the given…

A:

Q: Find the domain of r(t) and the value of r(to). NOTE: Round your answer to two decimal places when…

A: We need to find domain and value of r(t).

Q: Find the curvature and the radius of curvature at the stated point. π r(t) 10 cos(t)i + 10 sin(t)j +…

A: We are aske dto find the curvature and radius of the curve.

Q: Suppose that $2000 is placed in a savings account at an annual rate of 4.2%, compounded monthly.…

A:

Q: Using integration by parts, Then k is? (a) - 1.5136 ²x³ cos x³ cos(x²) dx = k - [*x sin(x²) dx 0…

A: Solve it

Q: 21. Given the integral [ cot³x csc ³x dx. If u = cscx, then the integral can be re - written as:

A:

Q: 2. Solve the following using the inverse matrix method: 6x - y = 0 2x - 4y = 1

A:

Q: Find the radius of convergence, R, of the series. 8 n Σ (x-a)", b>0 bn n = 1 R= Find the interval,…

A:

Q: a's father is planning to open a savings account to pay for Amelia's college education. He has found…

A: Given query is to find the value of deposited amount.

Q: Let 0 = tan-¹ (-3), then tan0 = and is in quadrant Now use trig identities to find the other 5…

A: Given problem:-

Q: List intervals on which the following function is INCREASING. Use INF for infinity, use no spaces,…

A: The given function,    fx=3x2-1

Q: Given: (1 + 2x) e-* dx. Using integration by parts and letting u = -1-2x, dv = f(x)dx, then the…

A:

Q: f(x, y) csc(y) Arcsin (x²) find fx (x, y) and fy (x, y).

A:

Q: Given f(x)=3x¹-8x' +10, find critical points (b) interval increase and decrease

A:

Q: List the absolute maximum and absolute minimum of f(x) = x³ 12x on the interval -3, 1]. Give the…

A:

Q: Let R be the region located at the first and fourth quadrants, bounded by y = x² - 1, y-x-1=0 and…

A: Note: According to our guideline i didn't solved more than three subparts. So, please again repost…

Q: Evaluate the definite integral. Joe²¹i+ i+e¹j+t kdt kat O © 2²² ² x i 2 © (e²-1) e² O e²-1 2 O e²…

A:

Q: 14. Evaluate the following √x-²sec (+)tan ³ ( =) « dx 2tan (²) [7tan² ( ² ) +11] +C 77 2tan…

A: To evaluate: I=∫x-2sec41xtan521xdx Substitute 1x=t⇒-1x2dx=dt⇒x-2=-dt So, I=∫sec4t  tan52t…

Q: ||r'(t) x r"(t)|| 3 ||r' (t)||³ r(t) = t²i+t¹³j Use the formula k(t): = k(t) = = to find k(t).

A:

Q: Use the information given below to find sin (a-³). 12 tan a = with a in quadrant III I 5 3 cos B =…

A:

Q: 4. Evaluate the following sin(x)cos(2x)sin(3x) dx sin(3x)cos(3x) sin(2x)cos(2x) 12 sin(2x) sin(2x)…

A: Solution: ∫sinxcos2xsin3xdx

Q: Find an equation of the surface of revolution by revolving the plane curve 3y = √(9- [(x-1)] ^2)…

A:

Q: For the function f(x) given below, evaluate lim f(x) and lim f(x). X18 8118 -x³ + x f(x) = √4x6 - 3…

A: We can solve this as follows:

Q: 15x²x³43x - 19 can be rewritten as (x + 1)²(x² - 6x +13) Ax + B C D Slax ² + + lax² + bx+c (mx + n)t…

A:

Q: Find the area of region bounded by the graphs of the equations. a. X b. y = x + sin x y + 3 2 1+ -R…

A:

Q: Given the price-supply function p = S(x) = 10(e0.02x - 1), find the average price (in dollars) over…

A:

Q: Given: S√-x² + 4x+5 dx. Using trigonometric substitution, what is the integral form in terms of ? 9…

A:

Q: trigonometric substitution, what is f √x²-9 x3 sec ¹(-₁)-² + C √x²_9 2x² sec 6 ¹(-)- √x²_9 2.x² + C…

A:

Q: 15x²x343x - 19 The integral (x + 1)²(x² - 6x +13) can be rewritten as Slax [ax² + bx² + c + (mx +…

A:

Q: Let f be the function given by f(x) = (In x)(sin x). The figure above shows the graph of ffor 0 < x…

A:

Q: sin(x)cos(2x)sin(3x) dx D sin(6x) sin(2x) sin(2x)cos(4x) + + ++ C 24 8 sin(3x)cos(3x) 12…

A:

Q: domain of the function: A = 8 B = and C= 8 For each of the following intervals, tell whether f'(x)…

A:

Q: Solving z² + 14-7-0 by completing the square method produces an equation of the form (z + h)² = k.…

A: Given,              x2+14x-7=0

Q: Check if proper fraction. 2. Check if the denominator is reducible or not. 3. Perform cancellation…

A:

Q: Find the limit. NOTE: Enter the answer using round brackets. t² +4 1 lim = (?, ?) t→+∞0 8t² +9¹ 5t

A:

Q: Question 9 Using trigonometric substitution to solve: cos x dx f 3 (4-sin²x)2

A:

Q: Question 8 3 (2x+4)³-8 } is

A:

Q: H-w.4 Find the volumes for the following solids whose heights are defined by E(x,y) and bases are…

A:

Q: Using trigonometric substitution to solve: f sin 2x +C 8 cos x√3-cos²x 1 + C 8 secx√4-sin²x sin 2x…

A: