Evaluate the integral. (Hint: u-sub) sec x tan x dx 5+ sec x O 5 In Isec xl + C O In 15 + sec xl + C O -In 15 + sec xl + C O 5 In 15 + sec xl +C

Q: 6 Convert your original pair of complex numbers to polar form. D= 1-j2 A = 2+j3

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Q: Vx-2 a) Evaluate limx→4 without using L'Hospital's Rule, i.e. using a strategy we x-4 studied in Cha...

A: Given problem:-

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Q: The integrand of the definite integral is a difference of two functions. Sketch the graph of each fu...

A: answer is given below .

Q: Exercise 2 Use spherical coordinates to evaluate ff[(9-x' - y') dV , where E is the solid hemisphere...

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Q: An object moves with a constant acceleration of a=2m/s^2 without other forces intervening, one secon...

A: x(t) = x(0) +x'(0) t + 12 a t2a=2x(t)=x(0) +x'(0) t + t2x(1)=14 m14=x(0) +x'(0) +1x(0) +x'(0)=13  .....

Q: 2x dx 67. 4

A: ∫xn dx = xn+1n+1+C ∫f(x) ± g(x) dx = ∫f(x) dx ±∫g(x) dx ∫a f(x) dx =a∫f(x) dx

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Q: 4-VE Find the limit: lim→16 x-16

A: We need to evaluate the following limit limx→164-xx-16

Q: 2. a. arctan(-1) b. tanV3 C. tan-

A: a)tan-1(-1)=-π4b)tan-1(3)=π3

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Q: 16. 3x² + 3y? + 3z² = 10 + 6y + 12z

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Q: 1-2 Plot the point whose polar coordinates are given. Then find two other pairs of polar coordinates...

A: answer of given question is in step 2

Q: Determine the equation of a tangent to the curve: y =. (x3 - 5x + 4)(3x2 - 2x) at the point (1,-2)

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Q: Consider the following. u = (1, -9, -7), v = (6, -2, 0) (a) Find the projection of u onto v. (b) Fin...

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Q: Canvidar the followiag differential oquation y'= 9x +10y +29 10x+9y +33 ミ A variable chonge to turn ...

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Q: The farce with maghudes of 300 ewtins 200 ewtons, and 400 newtons ait on an object at angles of 3.45...

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Q: Find the unit vector in the direction of v. v = -6.3i + 3.7j u =

A: Given the vector is v = -6.3i + 3.7j We have to find the unit vector in the direction of v.

Q: A tank full of water is designed with ends in the shape of an isosceles triangle with height 9 meter...

A: Let's find. 

Q: dy using implicit differentiation given that dr 3. Find y² seca – log(r² + y²) = e* + cot(ry).

A: Solution is given below:

Q: and the direction of the aiven.vetor Find the magnitude u=(3,-4)

A: Consider the vector  v=3,-4  

Q: 4. (3x – y)2 = 6x + 2y + 23 @ (1,-2) 5. x(x² – y²) = 3 @ (-1,2)

A: 4) (3x-y)2=6x+2y+23, @(1,-2) 5)x(x2-y2)=3, @(-1,2).

Q: Find the root of f(x) = e–x – 5x after two iterations of the simple fixed-point iteration method wit...

A: Here we have to use the fixed point iteration method

Q: dt

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Q: Find the value of real number if the complex number is 8 + 9j = 0

A: A complex number is a number of the form a + bi, where a and b are real numbers A IS Real part  bi i...

Q: Question 7 x+6 Finding the limit: lim3 x+2 O (E) 2/7 18

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Q: 1. Find the general solution of the differential equation: dy, dy + dx3 dºy dy = 0 dx6 dr5 dx?

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Q: 3 (7) What is the value of the scries -? Justify your answer. (n + 1)2"||

A: Explanation of the answer is as follows

Q: 70. f(x) = x - 8x2 + 16 (A) [-1, 3] %3D | (B) [0, 2] (C) [-3, 4]

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Q: Find the general solution to the differential equation y''-4y'=8-16x

A: y"-4y'=8-16xf(D)=D2-4DAuxillary equation :m2-4m=0m(m-4)=0m=0,4m1=0 , m2=4

Q: Determine if the geometric series converges or diverges. If it converges, find its sum. 10 1+ 11 10 ...

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Q: Solve for the derivative of the function using chain rule. 9. f(x)= esinx *please explain step by ...

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Q: 12w3+6w2-5w+1 h : 5w+3

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Q: Find the point of tangency and equation of the tangent line of the following functions given a singl...

A: Solution is written in below steps.

Q: Solve the linear differential equation of order one 2x(y−x^2)dx+dy=0

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Q: Use Lagrange multipliers to solve the following exercise. Find three positive integers x, y, and z t...

A: To use Lagrange multipliers to solve the following exercise.To find three positive integers x, y, an...

Q: The points (6, 9, 7), (9, 2 , 0) and (12, -5, -6) lie on the same line. True False

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Q: f(x) = 3x - 5x² 1. c = 2

A: Given: fx=3x-5x2  ; c=2   The function will be continuous at x=c when, limx→c-fx=limx→c+fx=finite va...

Q: Find a basis for the vector space of all 3 × 3 diagonal matrices. 100 o o o o o0 O0 0 o 0 10 00 o 0 ...

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Q: O Find the area of the auface, using Polar oordinates, of the portion of the Cone x²+y² - 9z²=0 betw...

A: Use polar coordinates x=rcos(theta) y=rsin(theta)

Q: 6 Convert your original pair of complex numbers to polar form. D = 1-j2 A = 2+ j3

A: