4. Evaluate the double integral: L Lope y¹/3 (Hint: Change the order of integration to dy dx.) dx dy. x² +1 4

Q: The value of A. -√4+C 4x B. +C √4-2 C. D. 4√4-x² 4√4-x² S ₁4- +C +C dx (4- x²)1.5

A:

Q: 5) y = tanx secx 6) Y = b x+1

A:

Q: Find the area of the region above the curve y = x^2 - 6, below y = x, and above y = − x.

A: Given region bounded above by  y=x2-6  and y=-x  and bounded below by y=x

Q: x² 1) Let f(x) (Figure 24). Verify the following: x 1 (a) f(0) is a local max and ƒ(2) a local min.…

A: Question a,b , c are solved. Solving more than 3 sub part are against the policy of bartleby.

Q: Find the equation of the tangent plane to the surface defined by the function f(x, y) = x³ =…

A:

Q: IV. Evaluate: lim (x² + €¯²)(x-¹ csc csc z) z→0+

A: Given :limx→0+x2+e-xx-1cscx

Q: 62. y" +9y=e* cosx

A:

Q: 12. A thin 4 cm wire represented by 1 < x < 5 has density function p(x)=19/cm. Find the mass of the…

A:

Q: Let R be the region in the first and second quadrants that is inside the polar curve r = 4 and…

A:

Q: xy³ = Let f(x,y)=2x²+y² 1 (x, y) = (0,0) Is f continuous at (0,0) ? Is f continuous at every point ?

A: If limit tends to 0 and function tends to 1 then f is continuous.

Q: Find the first and second derivatives of the function. Check to see that your answers are reasonable…

A:

Q: Find the differential dz of the function f(x, y) = 4y² + x²y-2xy and use it to approximate Az at…

A: Let's find exact value of delta(Z).

Q: Given the region R on the right, a. Using vertical strip, SET UP the double integral that will solve…

A: This question is related to double integration, we will solve it using given information.

Q: Consider the parametric curve: x = ln(t + 5) y = −6t5 Which integral gives the arc length of the…

A:

Q: The value of | Je A. -sin-¹ (ex) + C C. sin-¹ (e) + C dx 2x B.-sin-1 (e-2x) + C D. sin-¹ (e-2x) + C

A:

Q: √tanx secox dx

A: Given problem:- ∫√(tanx) sec6x dx

Q: identify any extrema of the function by recognizing its given form or its form after completing the…

A:

Q: Use Cartesian coordinates to evaluate Jff v² av . D where D is the tetrahedron in the first octant…

A: We need to find the integral , ∭D y2 dV   where D is the tetrahedron in the first octant bounded by…

Q: Use the Ratio Test to determine whether the series convergent or divergent. 00 n=1

A:

Q: Evaluate this integral:  ∫ 1 to 5 of (4t^(4/3)i+(t+5)(√t)k)dt

A:

Q: Choose 1 answer: A 13 klo ㅠ 4t2 + 16 sec4 (t) dt

A: Please refer to the image below

Q: When applying the convolution theorem to calculate: a 8 L-1 ¹ { x² + Q² * x² +F}" You obtain the…

A:

Q: Solve the boundry-Valued PDE 24 = 4 24 = 484 ठेप ulo,д) =8 ёру using the genval method -12X-39 ans:…

A:

Q: 5. Use the substitution method to evaluate So 3x²+2 x3 + 2x +37 dx.

A: Topic = Integration

Q: Iim tan³x X10 1- Cos2x

A:

Q: [*[f(x) + g(x)] a 6 -5 f -2 Y = 7 -3 7 x -6 9 -2 Y 10 5 3 5 2 x

A: We have to find the value of given integration.

Q: b. 5x-2≤2 X+2 Jawab: Tentukan penyele berikut! a. √6x +1>5

A: 5x-2x+2≤ 2

Q: 3) O 4 N

A:

Q: 8. Find the volume of the solid obtained by rotating the region R enclosed by y = x² and y = 2 - x²…

A:

Q: Find the general Solution of the following PDES • з Их + 2 Иу , u(x,c) = чех (3У-2х)12 ans3- исх, у)…

A:

Q: Find an equation of the tangent line to the curve at the given point. y = 2x3 – x2 + 4, (2,16) y =

A:

Q: Obtain the general solution of the given differential equation: dy = cos²xcosydx

A:

Q: Set up but do not evaluate an integral that represents the volume of the solid of revolution…

A:

Q: the graphs of y=2x^2 and y=mx -2 intersect at the points A and B. The point B has coordinates (2,8),…

A:

Q: Solve the general solution of the following linear differential equation: (y-cos²x) dx + cosxdy = 0

A: Given (y-cos2x)dx+cosxdy=0To find general solution:

Q: Give 1 problem application of differential

A: We have to explain a real life example of differential equation.

Q: 5. csc 6x dx

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: 4. Evaluate the double integral: To fo (Hint: Change the order of integration to dy dr.) y dx dy.…

A: We have given the double integral in which the region of integration 'R' is given below  R : { 0 ≤ y…

Q: 4 x dx Y 3- SSin X

A:

Q: show that $(x, y, z) = PDE : 2²4 8²4 дуг дуг + 1 2 x² + y² + z² 824 dz² satisfies the

A:

Q: Solve the following integrals completely and honestly. Show your solution in ink and as neatly as…

A:

Q: Find the area of the region enclosed by the curves y = 4 24 8 0 16 x³ and y = 4x.

A:

Q: Function h is graphed. ← -4 -3 -2 -1 Find ["h(2) dz. [²h(z) dz = [ Y 4 3- 2+ 1 -1 -2- -3- -4 h 1 2 3…

A: The given graph is:

Q: dy a. Use implicit differentiation to find b. Find the slope of the curve at the given point.…

A:

Q: Find a differential equation that corresponds to the given direction field. Consider differential…

A:

Q: 1. Find the area between the curve f(x)=√x and g(x) = x³.

A:

Q: please do the second (b)

A: Let's find volume when rotated about y axis.

Q: Find the volume of the region bounded above by the sphere x² + y² + z² = 2 and below by the parabo-…

A:

Q: 1. Find ƒ (x) dx given [² f(x) dx = 2 and ₁² f(x) dx = 3

A:

Q: VSDE of tan xdx + y * cos^2 ((x) * dy) = 0

A: (Sinx/cosx)dx+ycos²xdy=0 (Sinx/cosx)dx=-ycos²xdy (Sinx/cos³x)dx=-ydy tanx sec²xdx+ydy=0 Integrate…