Now, please follow the example and complete: sin () = a) 157 b) cos 137 c) tan 3

Q: 3x2 – 4x + 5 (x – 1)(x² + 1)

A: we will solve the integral by using partial fraction decomposition. 

Q: Evaluate the integral. 7/6 (7/2 (5 p2 sin() dp de do Jo

A:

Q: QUESTION 10o Select each convergent series from the options below. No work required. 1 n=1 5 n=1

A: P-Test: The series ∑n=1∞1np converges if p>1 and diverges if p≤1 The series ∑n=1∞rn converges if ...

Q: Simplify and write the final equation in general form. y - 5 = 1(x - (-7)) %3D y- 5 = 1x +7 %3D The ...

A:

Q: P(x) = 8x + 26x - 67x + 15; a = -5, b = 2 = -5: -5 8 26 -67 15 e the row containing the quotient and...

A: Topic:- polynomial

Q: Write the value of lim, 4x2-16 →2 x-2

A: Topic = Limits

Q: Approximate the area under the curve of f (x) = x² +3 from 0 to 4 using the Midpoint Rule with n = 4...

A:

Q: es - a? Do not use a calculator for this problem. Find the x-value where the relative maximum of u c...

A:

Q: Let an​ be an arithmetic progression, for which the first term a1​=1 and common difference d=1. Find...

A:

Q: Q22 coordinates of a point Sammy is given the cartesian (-1,-53), He lp Sammy find polar coor dinate...

A:

Q: Q1:a) Find the domain and range of the functions:- 1) f(x) = %3D x+3 2) f(x) = V4- Vx 3) f(x)=5cos3x...

A: Topic:- function

Q: Find a value a > 0 so that the graph of the exponential function f(x) = a" contains the point (3, 1/...

A:

Q: Aline is drawn from point ( 4, 4) to the point (-3,-3), what acute angle does it make with the-ive Y...

A:

Q: Convert to an equation in rectangular coordinates. r = cos (0) – sin (0) (Express numbers in exact f...

A:

Q: = In x lying in the fourth Find the surface area generated by revolving about the y-axis that part o...

A:

Q: Find the value of the derivative (if it exists) at each indicated extremum. (If an answer does not e...

A:

Q: Given a function f(x,y,z) = (x+4) ln (9y - 2) sin (2z). Find the domain of the function.

A: Let's find. 

Q: Find the dy/dx of the following function using Chain Rule. y=(-5x3 - 3)3

A: Find the dy/dx of the following function using Chain Rule.

Q: Find the angle of the slope for the line L1: 3X - 4Y+2 0 35 O 60 O 90 37 45 40 O 30 O

A: we have to find slope dy/dx  we have to derivate the function with respect to x 3x -4y +2 =0 3 - 4dy...

Q: Use Newton's method to approximate a root of the equation 3z + 2c + 1 0 as follows. Let 1 = 1 be the...

A:

Q: tan r- sin r 1. Using fundamental identities, simplify the expression sin a 1 2. Using fundamental i...

A: We know that, The trigonometric identities; 1). 1cscx=sinx 2). 1secx=cosx 3). tanx=sinxcosx 4). cotx...

Q: A cardboard box without a lid is to have a volume of 32,000 cubic centimeters. Find the dimensions t...

A:

Q: Q3:Graph the following function:- 1- f(x) 1x- 31-1 2- x-1-y2

A: Given: 1) f(x)=|x-3|-12) x=1-y2

Q: Solve the equation y' + y · tan (x) = sec(x) Ans y sec(x) = tan(x)+c %3D

A:

Q: Given f(x,y) = 5x sin(3xy). Find fxy(4,2). Give you answer correct to two decimal places.

A: Given f(x,y) = 5x sin(3xy).  Find fxy(4,2).

Q: Evaluate the integral /16 – æ² dæ and simplify

A:

Q: f(#n) f'(In) For the function f(x) = r+x - 4, write Newton's formula as In 11 = F(Tn) In for solving...

A:

Q: Solve the following differential equations of -cos(y)·y'+sin(y)=x Linear Differential Equation

A: Let's find. 

Q: Find the area bounded by the given curves and lines. 1 y? (2-2) x = -2 x = 0

A: Area under the curve y2=12-x3/2, -2≤x≤0

Q: computes curve length for 0

A:

Q: Find R of the function Y = f(x) = Vx %3D all X 0<X < 00 2 Ls O خيار 3 12X 2 3 -2 <Y< 2 0 الخيار رقم ...

A:

Q: Consider the following limit A. Use a graphic calculator to find the limit B. Find the limit analy...

A: Solved below

Q: Solve for the Linear Differential Equation: y' + y = sin(e^x)

A: Given differential equation is y'+y=sin(ex)

Q: Find the area between the y-axis and the graph X = 1 on the interval 3, 6]. 7 5- 4 3 2 ++++ ++++ 54 ...

A: The area formed is of trapezium

Q: Find the area under the graph y =- on the interval 1, 3|. 2+ 1 1 3 4 O -1.100 -0.100 O 0.100 O 1.100...

A: Find the area under the graph y= 1/x on the interval [1,3] .

Q: Let be Z= ax? yf +bx²y³ 9 and b que cors P is a pant givon by (-1,-1) qnd we Anaw dz (P) = -2 , &르 (...

A:

Q: Find each of the following derivatives. g(2) = 2:7 – e* In(z) f(t) = In(ct+3) + cos(3*) 1 g(x) = 2* ...

A: This question can be solved using sum rule,product rule and chain rule of derivatives.

Q: Find the average value of f(x) = over the interval [2, 5]. (3x2 + 2)? Enter the exact answer. fave =...

A: f(x)=x(3x2+2)2Interval: [2, 5]favg =1b-a ∫ab f(x) dxfavg =1(5-2) ∫25x(3x2+2)2dx3x2+2=t6x dx=dtx dx =...

Q: Example 7: Determine whether the planes x- 3y + 6z = 4 and 5x+ y - z = 4 are orthogonal, parallel, o...

A:

Q: Integrating Hyperbolic Functions 13. Evaluate, | sinh* x cosh x dx 14. Evaluate, dx xVx? +16 15. Eva...

A: As per the guidelines I am supposed to do the first question among multiple questions. So here I am ...

Q: Find the area under the graph y 2x + 3 on the interval -1, 2). 2]. AY 8- 71 6. 4 ++H+ 54 3. 1 234 5 ...

A:

Q: 2. Fill in the blanks Let y be a solution of the differential equation y' = , where – 1 < x < 1, –1<...

A: ∫1a2-x2 dx = 12aln1+x1-x+C

Q: Find the formula for the geometric sequence below with n> 1. 3 9 27 81

A:

Q: Use the Product Rule or the Quotient Rule to find the derivative of the function. f(x) = (6x² + 9)(x...

A: Given,         F(x)=(6x2 + 9) ( x2 - 5x - 8)

Q: is

A:

Q: Consider the points A(3, –3, 5), B(5, –5, 2), C'(-1, –4, 2), and D(4, 1, –8). (a) Find the volume of...

A: AB→=(5, -5, 2)-(3, -3, 5)AB→=(2, -2, -3)AC→=(-1, -4, 2)-(3, -3, 5)AC→=(-4, -1, -3)AD→=(4, 1, -8)-(3,...

Q: Jsing the Binomial Theorem, show that

A:

Q: Find the vector component of v = (4, – 1,7) along b = (2, 4, –4) and the vector component of v ortho...

A:

Q: Given a function f(x,y,z) = (x+9) ln (2y - 3) sin (5z). Find the range of the function. a.[ -1, 1 ]...

A: We know,  Range of sinx = [-1,1] for all real x. Range of ln(x)=-∞,∞ for all real x Range of a (x+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: