43, 44, and 45 Evaluate the integral by changing to spherical coordinates. 43. xy dz dy dr

Q: If f(x) = 4x(sin x + cos a), find f'(x) = COS f'(2) =

A:

Q: Please answer each question with solution.

A:

Q: Use Theorem 13.9 to find the directional derivative of the function at P in the direction of the…

A:

Q: Find the vector component of v = 2i – j+ 3k along b = i+ 2j + 2k and the vector component of v…

A: We have to find the vector component along another vector

Q: Find the derivative of the following functions from first principles. (i) x? (ii) e (iii) log (x +…

A: derivative

Q: Determine whether the improper integral 3-2x) /2 dr onvergent or divergent.

A: We have to find the integral

Q: )

A:

Q: 7 dx 5. S- xVx-4

A: I am attaching image so that you understand each and every step.

Q: Find the volume of a right pyramid that has a square base in the xy-plane. – 1 < a <1, -1 < y < 1,…

A: Given right pyramid with square base. Side length(a)= 2 units Height(h)= 3 units

Q: S sin(ln x)dx A 1 x sin(lnx) – cos(Inx) + C x sin(lnx) – cos(lnx) + C| B D x sin(Inx) + cos(Inx) + C…

A:

Q: Use Lagrange multipliers to find the maximum and minimum values of f subject to the given…

A:

Q: x sec (3x) tan (3x)dx

A:

Q: 3 -5 6. Evaluate the determinant for the following matrix: 1 O A. 8 О В. -2 О С. 5 O D. -4

A: Solving the problem by finding the value of the determinant.

Q: Find an equation of the tangent plane to the surface at the given point. h(x, y) = In Vx2 + y²,…

A:

Q: y =-x (b) Use it to project the vector v =

A: Given

Q: tan3 -dx sec x

A:

Q: 3. 8х' + 13 2. S 3 4x' + 8х + х + 2 2

A: integration

Q: Find an equation of the plane that passes through the point P(3, 5, 1) and has the vector n = (1, 8,…

A: As we know that; The equation of the plane which is passing through a point Px0,y0,z0 and a normal…

Q: Let a = ci + jand b = 9i + 12j. Find c so that the angle petween a and b is=. Round your answers to…

A:

Q: Find an equation of the plane through (-8, –4, –5) that is 2 = t, y + 3 | perpendicular to the line…

A:

Q: Use seperation of variable to solve the following differential equation (DE): (11 + x) dy – y dx = 0…

A:

Q: Find the integral of the following

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

Q: pleasee answer C and E

A:

Q: Find a and b such that v = au + bw, where where u = (1, 2) and w = (1, –1). v = (0, 12) a =

A: We can find the value of a and b as below.

Q: 8) Find a power series representation and determine the interval of convergence for 2 f(x) = 3 – x

A:

Q: Given the area in the first quadrant bounded by x2 = 8y, the line y – 2 = 0 and the y-axis. What is…

A: Given the area in the first quadrant bounded by x^2 = 8y, the line y – 2 = 0 and the y-axis. Find…

Q: Determine that area. 4. A solid is obtained by rotating about the x-axis. The curve is given to be…

A:

Q: Let a = ci + jand b = 3i + 4j. Find c so that the angle between a and b is- Round your answers to…

A:

Q: | cos(V) dx 2 Vx sin (Vx)-2 cos (Vx)+C C 2 Vx sin x (Vx)-2 cos (Vx) + C 2 Vx sin (Vx) + 2 cos (Vx) +…

A:

Q: S(3x2 — х + 2) е -* dx | A - (3x2 – x + 2)e* (бх 1)e * + 6 e¬* + C (-3x² – 5x – 7)e¯* + C (3x? —х+…

A:

Q: y, = x2 + 2x + 2 Y2 = 2x + 18 dx 25- 20 15 y 10- 5- 6.

A:

Q: 6: evaluate öz/du and öz/ðv at the given point (u, v). z = tan (x/y), x = u cos v, (u, v) = (1.3,…

A:

Q: S 4x* sin2x dx A (2xª + 6x² + 3) cos 2x + (4x³ + 6x) sin 2x + C C (2xª – 6x² • 3) cos 2x + (4x³ –…

A: Integrating by parts : ∫u.v dx =u∫v dx -∫dudx∫v dxdx dxndx=nxn-1 ∫cos(ax)dx =1asin(ax)+C ∫sin(ax)dx…

Q: Integrate the differential equation in which A is being made at a rate k1and destroyed…

A:

Q: A general equation of conic section is given as y + 4x + 4(x – 2y) + k =0. Determine the value/s of…

A:

Q: x°e3» dx (Repeated Integration by Parts)

A: Find your answer below

Q: Find the volume of the solid generated by revolving the area bounded by the given curves about the…

A: I am attaching image so that you understand each and every step.

Q: 2 +y? +? inge muitipilers to find the maximum and minimum values of f(x, y) = 2x + y – 2z subject to…

A: We are using Lagrange multipliers method

Q: Problem 7 As blood moves from the heart through the major arteries out to the capillaries and back…

A: As blood moves from the heart through the major arteries out to the capillaries and back through the…

Q: The shape of the Gateway Arch in St. Louis is approximately a parabola with a base and a height…

A:

Q: Consider the following IVP: Find the general solution. 1. y"-3y'+2y = e3t ; y(0) = 0, y'(0) = 0

A: According to our guidelines, we can answer only one question. Other questions can be reposted.

Q: F. Boolean Matrices Го 1 A = 1 0 3-- [1 0 1] C=0 1 1 0 1 0 [1 1 1] D= 0 0 1 |1 0 0 Let B = [1 0 0 1]…

A:

Q: please answer 9 and 10 only Find the general solution of each differential equation, and when…

A:

Q: (a) Find an equation of the tangent plane to the surface at the given point. z = x2 - y2, (7, 4, 33)…

A: Given problem:- (a) Find an equation of the tangent plane to the surface at the given point.     z =…

Q: Suppose that it is given to you that f′(x)=(x+5)(10−x)(15−x) 1.The first inflection point (from…

A: Given that,     f'(x)=x+510-x15-x

Q: St² sin(2t*)dt A 1 (sin(2t*) – 2t*cos (2t*)) + C (sin(2t*) – 2t*cos (2t*)) + C 14 B D (sin(2t*) –…

A:

Q: A robotic machine fills containers with an acid solution at the rate of 90 + 3t milliliters (mL) per…

A:

Q: assist

A: We have to calculate the given indefinite integral

Q: Find the directional derivative of f(x, y, z) : 4y at P(3,1, –2) x + z in the direction from P to…

A:

Q: Find the solution set of the inequality 5x2 – 2x + 12 < 6x² – 3x – 18. - Select one: а. [—5, 6] b.…

A: