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

Q: The value of A.cos(x²+)+C cos (x² + + C fx sin (x²+3) de dx B. - cos (x² + 5) + C D. -cos (x²+)+C

A: Option (B)

Q: In 3 2 – sinh x tanh x cosh x dx

A:

Q: 4 Find the area of the region bounded by x = 2y²+1 and the y-axis using the horizontal strip.

A:

Q: 1. I. -5 3 Evaluate each determinant. -3 -4

A:

Q: Find the general solution of the following differential equation. Primes denote derivatives with…

A:

Q: - show that (x, y, z) = 8²4 PDE : 2²4 дуг дуг + + x² + y² + z² = 0 8²4 dz² satisfies the

A: Given that ϕ=1x2+y2+z2

Q: • show that Ф (x, y, z) = 8²4 PDE: агф + дуг дуг х2 +у2 + Z2 8²4 872 satisfies the

A: First we find the respective partial derivative then add them to get value 0. see below the…

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

A: Please refer to the image below

Q: Example 1: Evaluate the integral: ₁²²=238+1² 2r-3 - 3x + 1 dx.

A: The given integral is (2x-3) /sqrt(x2-3x+1), limit from 3 to 5.

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

A:

Q: 4 Find the area of the region bounded by x = 2y²+1 and the y-axis using the horizontal strip.

A:

Q: (2) Z/(5) =........ (i) (5) (ii) 5Z (iii) {[0],[1],[2],[3],[4]}

A: We have to find out integer

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

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: Q4: A) For each of the following ,find fx fy fax fy fyx and fry 2.f(x,y) = sin²(x-3y) 3.f(x,y)=√√(x…

A:

Q: 6 By separation of variables, Solve the following 5 PDES :- учи ²4 dx2 0 o u(e,t) = u(5,t) =6 u(x,0)…

A:

Q: Consider the parametric curve: x = 5t² y = 2et Which integral gives the arc length of the curve over…

A:

Q: Q4/Find the slope of the line 3x-4y=-8 and then find the distance from the point P(3,-2) to this…

A: Given Equation of line3x-4y=-8To find slope &amp; Distance.

Q: Question 3 Determine L-1 ¹ s²+3s-7 (S-1) (s²+2).

A:

Q: II. Find the inverse of each matrix. 5 -11 1. -7 -9

A: This is a problem related to matrix. Based on the general formula and concept we will find out the…

Q: cos(bx) sin(bx) dx

A: topic- indefinite integral

Q: Give 1 problem application of differential

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

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

A:

Q: Marksberg radially has a population density of 1000e^−0.01r2 people per km^2, where r is the radius…

A: Here we have to find the population within 5km.

Q: Evaluate: ₂(4x²y - z³) dz dy dx

A:

Q: Evaluate √x/2 6sinx(cosx+1) do

A:

Q: I. 7. Evaluate each determinant. -3 4 -5 2 -3 -5 1 3 5

A: To evaluate the determinant -34-52-3-5135

Q: 6 By separation of variables, Solve the following 5 PDES :- учи ● 224 dx² 2 dt² 0 o u(e,t) = u(5,t)…

A:

Q: Let F(x,y)=ln(x² + y²), then answer the following (4) Find the boundary of the function's domain.…

A:

Q: Find the number c that satisfies the conclusion of the Mean Value Theorem for this function f and…

A: This question can be solved using the concept of mean value theorem.

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

A:

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

A:

Q: For f(x) = √ √2-4 4- ™ Of is not continuous at x = 4 Of is continuous at a Of is continuous at a 5…

A:

Q: 4 Verify that the Mean Value Theorem can be applied to the function f(x) = x 5 on the interval [0,…

A:

Q: Q4: A) For each of the following ,find fx fy fex fyy fyx and fxy 2.f(x, y) = sin²(x-3y) 3.f(x,y) =…

A: Solution: The objective is to find the partial derivatives of the given functions

Q: The utility function of a certain good is given by U(x) = 60x - x2 where x represents the number of…

A:

Q: Find the volume of the solid obtained by rotating about the x-axis the region bounded by the curve y…

A: The volume (V) of a solid generated by rotating the region bounded by y=f(x) and the x‐axis on the…

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: 3 Evaluate: ³₁²₁ ¹²[z³(x + y)³] dz dy dx -4 1

A: Given

Q: Find the volume V of the solid obtained by rotating the region bounded by the given curves about the…

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: II. Find the inverse of each matrix. -9 6 2. 4 -8

A:

Q: e for (2x + 1) cos(x) dx. 14. Use integration by parts to evaluate

A:

Q: Q3: A) Find the limits below x² + sin²y 1) lim (x,y) (0,0) 2x² + y² 2) lim (x, y)-(1,1) x² - 2xy +…

A:

Q: 6. Set up the triple integral that will give the following: (a) the volume of R using cylindrical…

A:

Q: 1. Find the angle between two vectors a and b with magnitudes √3 and 2, respectively having a b =…

A:

Q: 3 So So t : t² etu du dt

A:

Q: 1) (hu) 07h =hx solve d ШF СП

A: As per the company guidelines We can first question only. Please understand. Kindly repost the…

Q: Q2. Use Lagrange Multiplier to find the point on the circle: x² + y² = 45 that are closest farthest…

A:

Q: Use part one of the fundamental theorem of calculus to find the derivative of the function. g(x) =…

A: Solution: The objective is to find the derivative of the given function