8) Evaluate [[dA ,R: 1s quadrant bounded by y = x & x' = y 9. R In 8 Iny 4) e*+y dxdy

Q: [1 2 1] Given A = 2 3 1 4 0 1] x, C =-2 1 o and D=[2 1 4]. 5 B =-2 w 3 4 2 y 3 z [-2 a (a) Find the…

A:

Q: Let B be the region in the first octant inside both x + y + z? = 1 and Vx2 + y² . Z. 3= a) Find the…

A:

Q: Let D be the region bounded by a curve x + y3 D (Parametrise the curve so that y/x t.) 3xy in the…

A: Given that D is the region bounded by the curve ?3+y3 = 3?y. The curve is to be taken as y/? =t.…

Q: Find the following definite integrals. sin a dr

A:

Q: -1 x-x2 dx -8 2도 1423 1521 22 20 Option 1 Option 2 1425 1523 22 20 OOption 3 Option 4 None of the…

A: Given problem:-

Q: 14. xdx + sin? () [ydx – xdy] = 0 %3D

A:

Q: 3. Sy'edy

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: Show all the necessary figures and solutions to each of the following problems. 1. Find the area of…

A:

Q: 2. The equation of the horizontal asymptote of the exponential function f(x)=7(0.5*4)–-1 is: A) y =…

A: The equation of the horizontal asymptotes of exponential equation f(x)= 7(0.5x-4)-1

Q: For the parametric equation shown below, determine the value of (dy/dx) and (d²y/dx²). X = 3t – 4t +…

A: a x = 3t2 -4t +2 y = t3 -2t2 + 2t -5  dy/dx and d2y/dx2 =? dx/dt  = 6t -4 d2x/dt2 = 6 dy/dt = 3t2…

Q: The value of the triple integral 6zdV where E is the upper half E of the sphere of x² + y? + z? = 1…

A:

Q: Evaluate f e 1 dx 3 x

A:

Q: Find the derivative of y = Arccot (tan 2x).

A: The objective of the question is determine the derivative of the given function.

Q: This question is about the function f(8) = (0 – 3) cos(@). (a) Explain why the graph of f lies on or…

A:

Q: 1/2 x3 dx 1- V3 - 15 15 2 16 Option 1 Option 2 1 15 V15 16 8. Option 3 UOption 4 IN

A:

Q: 9) Evaluate || sin (y') dA , R: the region bounded by y=Vx, y=2 R & x=0. Š įysinx'dxdy ans:-(cosl-1)…

A: Note :As per our guidelines we are supposed to answer only one question if there are multiple…

Q: Consider the function f(x) = 6x² — 4а + 10, 0 < х <9. The absolute maximum of f(x) (on the given…

A: Topic:- function

Q: 5. Find the first six terms of the sequence in which the eighth term is 72 and twelfth term is 96.

A:

Q: Find an equation of the tangent line to the curve y = x - 3x + 5x that has the least slope.

A:

Q: At low altitudes, the altitude of a skydiver and time in the air are linearly related. A skydiver…

A: At low altitudes, the altitude of a skydiver and time in the air are linearly related. A skydiver…

Q: (h – 2) - 4 (i) lim 2h

A:

Q: 2x 5. The y-intercept for the function g(x)= 2 +3 is: A) 2 B) C) 3 D) 5

A:

Q: x²(3 – 4x)dx 2 -4 |

A:

Q: Suppose that 10 grams of the 1 plutonium isotope Pu239 was released in the .Chernobyl nuclear…

A:

Q: (2x + ) dx + ( – 2y) dy = 0 12. (2х + 1+x?y², 1+x²y²

A:

Q: Use substitution to find the indefinite integral. 2 | 5z² – 3 dz -3 dz =

A: Given: I=∫z5z2-3dz   ...1   As we know the Power rule: ∫xndx=xn+1n+1+C

Q: Find the area bounded by the given curves, axes and/or lines. 1. y? + x – 4y = 5; y-axis %3D

A: Note: As per our company guidelines we are supposed to answer the first question only. Kindly ask…

Q: R is the region bounded by the lines y = x, y = -x, and x = 1. %3D

A:

Q: y - 4y+ 4y = 2t2 + 4te2t + t sin2t

A:

Q: y=4x-x², y=x

A:

Q: A power representation of the function f(x) = for-1 < x < 1 is %3D 1-x Select one: 9n 9n 9n n=0 O…

A: This question can be solved using the concept of power representation of given function.

Q: Write a in the form a = a-T+ anN at the given value of t without finding T and N. %3D r(t) = (4 e*…

A:

Q: 2) Evaluate the integral and check your answer by differentiating. dx b) Jx"(2-x)° dx

A:

Q: 3 Vx dx 2 x+1 Evaluate

A:

Q: Find the maximum and minimum values of the function f(z, y) = 2*y subject to 5z + 2y? = 30 %3D %3D…

A:

Q: 1 dy Solve the initial value problem of - 2 dx y +1 cos x , y(n) = 0

A:

Q: 10. (x + 3x3 sin y)dx + (x* cos y)dy = 0

A:

Q: Lit Pibrithe plane comtrining the porente (1-1:0). (1:0-1) and (0-1-1)- and Pabetheplane usith…

A:

Q: The limit lim x · In cos エ→0 is an indeterminate form of type 0 ·o. Select one: O True O False

A: LetL=limx→∞ xlncos1xL=∞.ln(cos(1∞))L=∞.ln(cos(0))L=∞.ln(1))L=∞.0Which is undefine

Q: 2) Evaluate the integral and check your answer by differentiating. – 2x dx a) J"(2-x)° dx b)

A:

Q: solve

A:

Q: Let y be defined implicitly by the equation 8a? – 10y = 7 Use implicit differentiation to find the…

A:

Q: An airplane is on a heading of 235° at 600 km/h and a l10 km/h wind is blowing from due west.…

A:

Q: Findithe equation fthe plane entrining the point (7-2-5) and uperpendcular to the line through the…

A:

Q: 15. xydx + 2(x² + 2y²)dy = 0

A:

Q: y2+x2 5- y' %3D y(1) = -2 xy

A:

Q: Let B be the sphere x? + y + z? = 4. The volume of the portion of B contained in the first octant is…

A:

Q: Solve the following differential equation: dv = Vcoto + V³cosece OP

A:

Q: [[ 31? dA; R is bounded by y = 0, y = 2x + 4, and y =

A: Given problem:- Sketch the regions of integration and evaluate the following integrals. ∫R∫ 3x2dA ,…

Q: 3. y? = -x ,x² + 3y + 4x + 6 = 0

A: