the area of the region. 4 y = y 5- 2 1 5 10 3.

Q: (2y²+ x²+3 0. प्रमत्ण ै

A: This is a problem of double integration. Based on the general formula we will evaluate the integral.

Q: 4. lim (sinx)tanx X0+

A:

Q: Evaluate the iterated integral. NOTE: Enter the exact answer. 18.% I cos(m2") dy dz

A:

Q: INDETERMINATE FORMS: Evaluate the limit by employing Theorem 23. f(x) F(x) f'(x) lim = lim Еquation…

A: This question is based on L hospitals rule.

Q: 5 and 6 8 and the angle between a and b is 0 = 75°. Given a a. Construct a well labelled diagram for…

A:

Q: Find the limit. NOTE: Enter the answer using round brackets. t2 + 8 1 lim t→+∞\ 5t2 +6' 8t (?, ?)

A: To evaluate the following limit.limt→+∞t2+85t2+6, 18t=?, ?

Q: Coal gas is produced at a gasworks. Pollutants in the gas are removed by scrubbers, which become…

A: We have to find the underestimate and overestimate

Q: uestion 19 Describe the largest set S on which it is correct to say that f is continuous. f(x, y, z)…

A:

Q: Solve using Gauss-Jordan elimination. X1 - X2 + 2x3 - 4×4 = - 3x1 + 5x2 - 3x3 + 13x4 = - 10.9 2x1…

A:

Q: Evaluate the line integral along the path C given by x = 2t, y = 4t, where 0 <ts 1. (y - x) dx +…

A:

Q: 4 sin 3xcar" 3xdx

A:

Q: dy For each of the following functions determine dr

A:

Q: Evaluate the double integral. / 5x(4 + y) dA; R R is the region in the first quadrant enclosed by y…

A:

Q: 7. lim vx² + x + 1 – vx² + 1 X00

A:

Q: a(2))® dz: Consider the indefinite integral This can be transformed into a basic integral by letting…

A: Consider the indefinite integral

Q: Find the indefinite integral. (Use c for the constant of integrat (4t3i + 4tj – 6vik) dt

A: we use the basic formula ∫xn dx =xn+1n+1+C    ; n≠-1

Q: 2) Evaluate the integral S inx dr 2.

A:

Q: Question 22 Solve the problem. Calculate the area of the parallelogram with v = (-6, 0, -6) and w=…

A: solution

Q: he Taylor series for fx) centered at the given Val f(x) = x- 6x2 + 2, a = 2 %3D E"e(x- 2)" = -6 +…

A: Taylor series

Q: Find the first partial derivatives with respect to x, y, and z. f(x, y, z) = 4x?y – 6xyz + 10yz2…

A: Given problem:- Find the first partial derivatives with respect to x, y, and z.   f(x, y, z) = 4x²y…

Q: 13) Determine the lim X--9 + 169 く+9

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

Q: 4 4 4 + + 9. 27 3 +

A: Given problem:- (4/3) +(4/9) +(4/27) + ........  Determine whether given  geometric series…

Q: 2 Find the cartesiun equation for the polar Carre rこlcos . Al(x-2)²+y2=4 ty²-4 %3D c)x²+ Cy-2)?=4 D)…

A:

Q: 4. The tens digit of a three-digit number exceeds the hundreds digit by the same amount that the…

A: Given: Let the three digit number be  'xyz'  where x is 100th digit, y is 10th digit and z is units…

Q: 2) 2x2 csck) dy d X M) y'= Xe'Vx-2

A:

Q: 1 f. dx Vx(Vx + 2)

A: Find your answer below

Q: 19 Suppose that Ts (x) centered at 2 for f(x) is gien by. Is (X=3+5Cx-2)+8(x-2)²+2G-2)°+(x-2) (3)…

A: T5(x) centered at 2 for f(x) is given by,T5(x)=3+5(x-2)+8(x-2)2+2(x-2)3+(x-2)5

Q: e* dx V1-e2x

A: Topic = Integration

Q: ||r'(t) × r"(t)|| Use the formula k(t) to find k(t). 3 ||r(t)||³ r(t) = 3 cos(2t)i+ 3 sin(2t)j + tk…

A: The given formula is: κt=r't×r''tr't3 And rt=3cos2ti+3sin2tj+tk   As we know that; The Chain rule;…

Q: 19. e dr dr 4 – 2² 20. dr 21.

A: 19.)∫1∞e-xdx=-e-x0∞=-e-x0∞=-e-∞-e-0=-0-1=1∫1∞e-xdx = 1

Q: Express the integral as an equivalent integral in which the z-integration is performed first, the…

A:

Q: Question 28 Find T, N, and B for the given space curve. r(t) = (In (cos t) + 8) i + 7 j + (5+t) k,…

A:

Q: Determine the vector field of F. F(x, y) = yl – x) 1.

A: Vector field

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) | cos(7/x29) dx

A:

Q: Numerical Integration (Simpson’s) 1. Using the Simpson Three-Eights method, at n = 6, what is the…

A: According to barteleby guidelines I can only answer the first question of the three given. Please…

Q: ピ+5 1 lim t+oo 5t2+6' 8t

A:

Q: 1 1 + 25 1 +. 125 Given the series 1+ Does this series converge or diverge? converges O diverges If…

A:

Q: )Solve for k such that 1 k(x2 – 2x + 1)dx = 5 - 0.

A:

Q: II. Find the Inverse Laplace of the following 2s-9 d. s2 +2 1 е. (s²+1)(s²+4s+8)

A:

Q: farctan(6y) dy: Consider the integral 1+ 36y2 This can be transformed into a basic integral by…

A:

Q: 4. If the larger of two numbers is subtracted from six times the smaller, the result is 20. If twice…

A: To solve this we have to first write the equation according to given questions

Q: The sum of the digits of a three-digit number is 11. The tens digit is three times the hundreds…

A: Let a be the hundreds digit, b be the tens digit and c be the units digit. Thus our required three…

Q: 10 X=-3

A:

Q: Solve the following differential equations of dy x'y-x'. = y' cos(x). dx

A: Use substitution to reduce the differential equation into linear differential equation.

Q: tanx dx I+x?

A:

Q: letter b

A:

Q: Find the radius of convergence, R, of the series. xn + 1 3n! n = 2 R = Find the interval, I, of…

A: A detailed solution is given below.

Q: 5 1. If g(2) = 59 and , g'(x)dx = 25, what is g(5)?

A: The detailed solution is given below Thank you

Q: ||r(t) × r"(t)|| ||r(t)||* Use the formula k(t) to find «(t). 13 r(t) = t'i+ t®j 30 t3 K(t) V4 + 25…

A:

Q: ind the arc length oI the parametric curve. 0 = 6 cos (t), y = 6 sin(t), z = 8t; 0 stST

A: Given: x=6cost, y=6sint, z=8t