Given a -5, b=8, and the angle between them 150º, find: ) the magnitude of the vector a +b ) the angle between the vector a and a +b

Q: 2. Continuity. Find all points where the function is discontinuous and identify which condition(s)…

A:

Q: Evaluate the following indefinite integral using Trigonometric Integrals f sinª x cos³x da where a…

A:

Q: The solution set of the equation x2=12-4x is {2,6} صواب خطأ

A: The given equation is: x2=12-4x  ...(1)

Q: when the first nine terms of an arithmetic sequence is added. its sum is 72. what is the value of…

A: The fifth term will be ,a5=a+4d=8

Q: 1. Let G be the solid in the first octant bounded below by the surface z = y + x² and bounded above…

A:

Q: |y²Z² YZ Y+ZI z²x² ZX Z + x = 0 x²y2 XY X+YI

A:

Q: 2. S(-18z +36)( - 2z - 4) dz

A: We need to evaluate the following integral ∫-18z+36-2z-4dz Formula Used: ∫zndz = zn+1n+1+C

Q: 3. y = 1 √x Calculate y'. 1 V3

A:

Q: S x² - 2x² + 3x² -x +3 "x²³ - 2x² + 3 +3

A:

Q: cot3x Lim X-o cotx 0

A: Given limx→0cot3xcotxTo evaluate the limit:

Q: B. Determine whether the following definite integrals converge or diverge and evaluate each…

A: Here we have I=∫01dxx

Q: O. At what rate is the vertex angle of a right circular cone changing when the radius is 3 ft and…

A:

Q: I. EVALUATE THE FOLLOWING LIMITS. SIMPLIFY AND ENCLOSE FINAL RESULTS. 5. Lim xsinx x+0+ 5

A:

Q: (√²+2) dt

A: We have to integrate to given function

Q: flog(x) dx

A:

Q: 5. The auxiliary equation of the differential equation (4D³ - 13D + 6)y = 0 falls under_ Prove your…

A:

Q: Find the critical points of the function f(x) = x³ + ¹/5x² + 50x + 7. Use the First Derivative Test…

A: We have to find the maximum and minimum.

Q: 3√3 dx X²³√x² +9

A:

Q: The reverse order of 4 So Say ex² dxdy is equal to e-1 8e None of them

A:

Q: an airplane is moving horizontally at 150 mph over an observer at a height of 4000ft.how fast is the…

A:

Q: 3. Let R be the region below bounded by the parabola y = 4 - x² and the lines 3x - 2y + 3 = 0 and y…

A:

Q: Lim X-0 √1+x-√1-x x

A: evaluate the limit limx→01+x-1-xx

Q: 1 -4 The reverse order of SO SAY ex² dxdy is equal to e-1 8e None of them O

A:

Q: 1. The Maximum point of y = (x²+2x+10) (x-3)

A: Find out the maximum point.

Q: If f a system of tow equations in two variables has infinitely many solutions, then it is…

A: Here we have to determine the true and false statements.

Q: lim (x-7) tan x x→2 플

A: The objective is to evaluate the limit.

Q: (2x³-9x²+2) dx from x = 6 to x = 11

A: Given: ∫2x3-9x2+2dx   from x=6 to x=11

Q: y = x² - 6x² + 8x and y = x² - 4x. 2. Find the area bounded by the two curves y:

A:

Q: SOLUTION

A:

Q: 2. f(x, y, z) = exyz² Find fxyz

A:

Q: cx+ln x Determine the equation of the tangent line to the graph of f(x) = [" = cosh (√2t - 1) dt at…

A:

Q: Differentiate   f(x) = (4x3 + 1)2   using the product rule.

A:

Q: f(z) = zz° +z-4); [-1,2]

A:

Q: Find the area bounded by the curves y=sinx, y=cosx between x=0 and x=π/2. PLEASE INCLUDE HOW TO GET…

A: To find out the area bounded by the curves.

Q: SHOW COMPLETE SOLUTION (NO SHORTCUTS PLEASE) (Differential Equations) Particular solution of y" -…

A:

Q: Find a power series solution of y" + (1+x²)y=0 13 a. ao(1-x². - + x² + ...) + a₁(x-²1²x³- 24 720 13…

A:

Q: What is the equation of the line tangent to the function y = 2³+7x² + 5x - 2 at x = 0? There can be…

A: Application of differentiation

Q: must

A: When a curve changes from concave down to concave up or concave up to concave down , that means…

Q: A stone dropped in a pond sends out a circular ripple whose radius increases at a constant rate of 2…

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

Q: Solid S is bounded by the given surfaces. (1) Sketch S and label it with its boundaries. (2) Give…

A:

Q: IV. INDETERMINATE FORMS Show if the following limits produce an indeterminate form. Then, evaluate…

A: The objective is to evaluate the limit.

Q: a²z Find of z = In(xy) a²y

A: To find out the double partial derivative with respect to y

Q: The measure of the side of a square is 7 units, with a possible error of 0.02 unit. Estimate the…

A: As we know the area of the square is: A=a2 Where a is the side of the square.   Given: a=7 units,…

Q: NA AN 4 » *K 0

A: We have to graph the hyperbola

Q: The solution set of 1-2x +21=4 {-1,5) AO {-1,2} BO {-1,6} .CO {-1,3} .D O

A: We have to find solution

Q: Vector-valued function R(t) = 1. Reparametrize R using the directed arc length s from the reference…

A: We have to solve a part 1 and part 2.

Q: 1 Lim x-0* x 1 sin x

A:

Q: 4 The reverse order of So Say 0 J4y +2 ex² dxdy is equal to e-1 se O None of them O

A: To evaluate the given integral by reversing  the order of the integration.∫01∫4y4ex2 dx dy

Q: (a) dy Given 4 sin 3x + 2exy = (2x + y)³, find dx'

A:

Q: Calculate the points of intersection of the curves x² = 4y and aup ert neswted biloa ent to y²/4 = x…

A: