2. 52 Calculate the determinant for 2 3

Q: Find the directional derivative of f at P in the direction of a. f (x, y, z) = xy + z²; P(3,4,–4); a…

A:

Q: 12. 5 In(3x) dx 5ln (3x) + C 4

A:

Q: 3. Given that 3e¬4rt + 2se" – 4w²rt = 3. aw (a) Find using implicit differentiation. at (b) Find at…

A: “Since you have posted a multiple question, we will solve first question for you. To get remaining…

Q: y" + 4y' + 6y = 1 + e¬2t , y(0) = 0, y'(0) = 1

A: We need to solve the differential equation.

Q: Show that y = e^2t is a solution of y’’’ - 2y’ - 4y = 0 (where ‘ denotes d/dt), and find the general…

A: We need to solve differential equation and show that y = e^2t is a solution.

Q: (z*+2z)* Find dy/dx, given the following: y = /2r-4 (+2)* 3(3z*+2)(=*+2=)* V (2z-4) (+22)* (…

A: Here, y=x3+2x32x-4...(1)

Q: Now, let f"(x) =0 and solve for x. Remember that f"(x) = - sin is a periodic function, and thus…

A: use the equation above for solving the equation for x.

Q: log, r – log, (x + 10) = log, k. %3D 1 Find x if k 8

A: Log

Q: Activity 2: Name Me in Three Ways! Directions: Determine if the given function is continuous or not.…

A:

Q: Find the vector component of v = 2i – j+ 3k along b = 2i + 4j + 4k and the vector component of v…

A:

Q: Using Jacobi Method solve the following system: 2х1 — 6х2 — Хз — —38 -3x1 - x2 + 7x3 = 34 -8x1 + x2…

A: Given that the system of equations are 2x1-6x2-x3=-38-3x1-x2+7x3=34-8x1+x2-2x3=20. First check…

Q: 1 dx 5х e

A:

Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from…

A:

Q: During the summer months Terry makes and sells necklaces on the beach. Last summer she sold the…

A:

Q: 1 Verify if y = -+; xy + y = x² is a solution of a differential equation.

A: We have to verify the solution

Q: Evaluate the volume of the solid generated by revolving the plan

A:

Q: Find the solution with the given initial condition. r"(t) = (e', sin (t), cos (f)), r(0) = (1,0, 1),…

A:

Q: Using the table below. Write all the possible idea that you may seen in the graph. (one sided limit,…

A: Given

Q: A rain gutter is to be constructed from a metal sheet of width 30 cm by bending up one-third of the…

A:

Q: 2(n!)2 (2n)! n=1

A:

Q: Differentiate the following functions. eX+e=* y D .y= 2

A:

Q: Calculate S3, S4, and S5 and then find the sum for the telescoping series ΣΗ 1 1 S = n+1 n+ 2 n=4…

A:

Q: Find two unit vectors in 2-space that make an angle of 45° with 9i + 4j. NOTE: Enter the exact…

A:

Q: (a) Write a nonrecursive formula for the term of the arithmetic squence a based on the given…

A:

Q: Approximate the critical numbers of the function on the open interval shown in at each critical…

A:

Q: Let a ci + j and b = 12i + 16j. Find c so that the angle between a and b is . Round your answers to…

A:

Q: Find an equation of the plane through(-4, 4, – 4) that is perpendicular to the planes 9x – y + z = 9…

A: Given,            The plane passes through -4,4,-4 that is perpendicular to the planes…

Q: Find an equation of the plane through (-2, 8, – 5) that is perpendicular to the planes 2x – y + z =…

A:

Q: If Arctan gx 3. dx =b Arctan* 3x +C, what is b?

A: Solving the given integral by substitution.

Q: Find the derivative: y = (3x² – 2x) Væ5 – 2x + 2 27 –14a5 –30z² +36x –8 2y5 -2x+2 dy %3D dæ 27+15* –…

A:

Q: Question 1 Given y = Va - 2Vr 2; Find y'. 1-Vオ-2 %3D 2(-2) 7 O (E) None of the choices Va-2-1 Oy =…

A:

Q: Find the volume of the solid generated when the area bounded by the given curves and lines is…

A:

Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from…

A: Solution is here

Q: The reverse order of f, S, sin y² dydx is f, S sin y? dxdy False True

A:

Q: Let T3 be the Maclaurin polynomial of f(x) = e*. Use the Error Bound to find the maximum possible…

A:

Q: Find parametric equations of the line through (-3,0, 3) that is parallel to 5i– 7j+k.

A: Recall:  The parametric equations of the line through (x0,y0,z0) that is parallel to a i+b j+c k is…

Q: ES dx = 4x + C

A:

Q: -4x2 f(r): r(r+8)(r – 2) (x+2)3 8(7r - 4) (x+2)4 with f'(r) = and f"(x): (r + 2)2 ' a. Find the…

A:

Q: 1. Using Lagrange multipliers, find three positive numbers whose sum is 18 and such that the sum of…

A: The Lagrange multipliers method is a strategy for finding local maxima or minima of a function using…

Q: 2. Use the Mean Value Theorem to show that f(r) = 2r sinh(r - 1) +2 – r has a critical number…

A:

Q: Find the directional derivative of f at P in the direction of a vector making the counterclockwise…

A: This is a problem related to vector calculation. Based on the general formula we will find the…

Q: 2, if x 1

A: The given function,  f(x)=1x,if x≤1x2-1,if x>1

Q: Find the coordinates (x,y) of the given angles. 1. 10n 4. 45 2.플 3n 5. 270" 3. - Sn 6. 330°

A:

Q: 2. Evaluate the following limits. /x²+3 d. lim X-0- X

A:

Q: Two angles are supplementary. If 2 times the measure of one angle is 6 times the measure of  the…

A: This question is based on that supplementary angles sum equals 180 degree.

Q: 1 (a) log16 2 = 4' That is, write your answer in the form A" = C. Then А |, B = and C 1 (b) log, 16…

A:

Q: 6" We want to determine if the sequence is monotonic. (3п)! Using the ratio test we get that n+1 Sn…

A:

Q: Find an equation of the plane that is parallel to the plane x + 7y – 2z + 20 = 0 and contains the…

A:

Q: Find unit vectors that satisfy the stated conditions. NOTE: Enter the exact answers in terms of i,j…

A:

Q: 2. Determine whether each of the following series is Convergent or Divergent by using the Direct…

A: