a = 6i + 4j + 8k and b = 9i – 6j + 12k. a) [ 3] Determine whether the vectors a and b are orthogonal, parallel or neither. b). vectors a and b. Compute the angle between the two

Q: frequent problem in surveying city lots and rural lands adjacent to curves of highways and railways…

A: We have to find the total area of the given picture which contains one right angle triangle and one…

Q: The acceleration function (in m/s2) and the initial velocity v(0) are given for a particle moving…

A:

Q: S x² + x x³ − x² + x - 1 - dx

A: We have to solve given integration by partial fraction decomposition.

Q: Q3) Find the average value of the function f(x)=√cos 4x+1, on [0,1 Q4) Using Numerical Integration…

A:

Q: 6. (a) f(x) = arctan (e-2) 6. (b) f(x) = [arcsin (²)]³

A:

Q: sin (In x) dx

A:

Q: x²y (z,y) (0,0) x4 + y² If it exists, find lim Answer: Write DNE of the limit does not exist.

A:

Q: 1. Find the convolution of f(t) = 3t and g(t) = sin2t?

A:

Q: Cursive

A: Please refer to the image below

Q: Find the area of the region bounded by y = 6-x-x² and the x-axis 125 6 (a) A = square units 6 (b) A=…

A: The given curves are; y=6-x-x2 and x-axis or y=0.   Now find the x-intercept of the the curve…

Q: Consider vectors A-40+30) and B-4.02 +8.03. ▾ Part C If the direction (but not the magnitude) of B…

A:

Q: Both Trapezoidal Rule and Simpson's Rule give the same result when applied to any polynomial of…

A:

Q: : Find area of triangle whose vectors P1(4,2,0), P2(-1,1,1), P3(0,4,3)

A:

Q: A box with an open top is to be constructed from a square piece of cardboard, 3 ft wide, by cutting…

A:

Q: 13. Σ n=0 + 1 20 (−1) (-1)") 5"

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Find the general solution of the following DE. y' = 3 (y + 1) O y = 3ce³x - 1 Oy = ce³x - 1 Oy =…

A: y' = 3(y+1) dy/dx = 3(y+1) dy/3(y+1) = dx dy/(y+1) = 3dx now apply both side integration

Q: Use the properties of limits to help decide whether the limit exists. If the limit exists, find its…

A: We have to check whether limit exists or not  And if exists then what is the value of the limit

Q: 2) A: By using partial method solve [2x² cos x dx

A:

Q: 6. Find the area of the region bounded by x = y³ − 4y² + 3y and the x = y² − y. 77 (a) A= square…

A: The region is bounded by the curve x=y3-4y2+3y and x=y2-y

Q: (15) Use the divergence theorem to evaluate SSF. ds, where S 3 F(x, y, z) = and 5 is the surface of…

A: To evaluate the given integral using divergence theorem.

Q: 17. A street light is mounted at the top of a 15-ft-tall pole. A man 6 ft tall walks away from the…

A: Concept of similarity along with derivative is used.q

Q: * The Simpson's Rule gives the exact result when applied to any polynomial .of degree-➖➖➖➖➖➖➖or less…

A: Simpson's Rule: It is a numerical method for approximating the integral of a function between two…

Q: Using the Simpson's rule, the approximated value for the integral: f, dx, is equal to -3 O O O O O 0…

A:

Q: 16. If g(x) = x + 2 cos x, then the equation of the tangent line to the graph of g at x = is 3π 2 A.…

A: This is a basic application of derivative problem

Q: Let f(x) = 5x² - 4 to find the following value. f(t+1) f(t+1)=

A:

Q: Find the points on the graph of y = (2x²+1)(x-5) 4 where the tangent line Slope is 1. 0=y= (2x²+1)…

A: We an find the point if the given function where the slope of the tangent line is 1.

Q: Compute the definite integral π/4 0 5 sin² (3x) dx

A:

Q: Let f(x, y, z) = x arctan z. Then solution.] af Əzəy (2,3,1)= a In 2 where a = [Show

A: Find the value of a

Q: The base of a three-dimensional figure is bound by the line X = √y on the interval [1, 4]. Vertical…

A:

Q: Determine the area enclosed by y = from x= -3/2 to x = 1. |- 1 x+2 and y = (x + 2)²

A:

Q: Find two functions fand g such that h(x) = (f 0 h(x)=√√5x-1 g)(x).

A:

Q: 67. Find the volume of the solid formed when the graph of the region bounded by y = e*, x = 0, x =…

A:

Q: Method of undetermined coefficients y" -y = 3et ○ y = ₁₁e² + c₂e²x + ²√xex O y = c₁e¹ + c₂e²x + 3xe*…

A: Let's solve given diffrential equation.

Q: Find the equation of the tangent line to the function f(x) = 3** at x = 1. (Use symbolic notation…

A:

Q: z²+1 5. S ₂²³(x+5) I

A: Let's solve given integral.

Q: The pressure P and volume V of an expanding gas are related by the formula PVb = C, where b and C…

A:

Q: 1.) Determine whether the following series is convergent or divergent using The Comparison Test. ∞…

A:

Q: Determine the angle between the following two planes: [1T/2A] 4x - 3y2z - 2 = 0 3x + 2y + 5z - 5 = 0

A:

Q: The acceleration function (in m/s2) and the initial velocity are given for a particle moving along a…

A:

Q: Find the Cartesian coordinates for the point (6,7) in polar coordinates

A:

Q: Given that f(z) = (z+ 2)(z²z+4) Find f(1 - 2i)

A:

Q: Use the formula for the binomial series: to obtain the Maclaurin series for V1 + x. Ο 1- O Ο 00 1 +…

A:

Q: Q2) A: By using partial method solve [2x² cos x dx

A:

Q: sin r√9+ cos² rdx

A:

Q: dx √√x + ³√x X

A:

Q: The Newton forward-difference formula is used to approximate f (0.3) given the following data. 0.0…

A:

Q: 4. Solve the following DE using a suitable type of transformation. y' = x + y (let v = x + y) O y =…

A:

Q: 21. If g(x) = A. =/20 C. 2 {22² (x² + 2, x ≤ 1. (2x + 1, x > 1' then g'(1) is B. 1 D. 3

A:

Q: Ja x?sin=1rd

A: According to question,Given INTEGRAL,Let I = ∫x2 sin-1 x dx

Q: Q5: Solve the equation by Grammars rule: 2x + 3y - 4z = -3x+2y + 3 = 3 . 3x-y-z = 6

A: Calculating determinant of a matrix is the key requirement for this problem.