Szcx²+yJdxdz 2

Q: f(x)=log_(5)(1-x^(2)) Write your answer as an interval Domain: (-1,1)

A: fx=log51-x2

Q: Which of the following is a solution to the given equation? secx - 2 = 0

A: The expression is given as  sec x -2 =0.

Q: A C 4- 3- 2- 1- D O -1- -2- -3- -4+ -5- The graph of a function f is shown above. If g is the…

A: We use Quotient rule ⇒ddxuv=vdudx-udvdxv2

Q: Use the variation of parameters formula to find a general solution of the system x'(t) = Ax(t) +…

A: The given non-homogeneous system is: x'=Ax+f(t)where:A=16116     and     f(t)=6-6

Q: 7. The management of the UNICO department store has decided to enclose an 400ft² area outside the…

A: Let side along pine wood = x Let side along steel = y As we know that the area of rectangular field…

Q: Let y'=2xy²; y=- 24 16-x²1 y(2)=2 Then by considering y=(x) as a solution of the differential…

A: y'=2xy2 Then y=2416-x2,y2=2

Q: Write the repeating decimal as a fraction. 4.17326326326...

A: We know that the formula 0.326326326......  =326/999

Q: Please describe the answers step by step since it is difficult to figure it out since the answers…

A:

Q: Find the domain of f(x)= 15

A:

Q: 1 dx -1 (tan¯¹ x)(1+x²)

A: We have to evaluate the integral…

Q: 5 Evaluate the integral. 3 √xe-*²₁ 0 dx

A:

Q: Find the area of the region bounded by the graphs of the given equations. y=9x, y=x³.x=0, x=3 Set up…

A: Let two functionsy1 = f( x ) y2 = f( x ) from x = a to x = b then area under the curves from x = a…

Q: Sketch and determine the T2 approximation of the Taylor Series of f(x)=sinx centered at b=pi/4

A: I have appended the formula used in the solution procedure part of the question

Q: Determine if the sequence is convergent or divergent. If the sequence is convergent, find it’s limit

A:

Q: What -√3 csc 0 = 2 Drag the solutions to the box to correctly complete the table. is the general…

A:

Q: find the derivative.

A: The function is y=tan-1x3.To find : Find the derivative.

Q: Find an exact simplified solution to the equation on the interval 0 < x < 1. 10cos(x + 1) - 4

A: The given trigonometric equation is:1=10 cos(x+1)-4

Q: Question 2 Find the general solution of the equation (x² - x - 2) = x - 3y(x − 1) + 1. dx (a) (b)…

A:

Q: Out-of-pocket spending in a country for health care increased between 2002 and 2006. The function…

A: To find out the total expenditure per household in the year 2006 and also to find out the year when…

Q: Solve 6 cosx + 2 = 0 to three decimal places on the interval x = [0, 2π]. E A. x=0.340, x = 5.943 C.…

A: Here we have trigonometric expression. Need to find the value of x  in the interval of [0,2π].

Q: Find all the zeros of the function g(x) = x³ - 3x² - 15x + 125 79°F Partly cloudy -5,4+3i, 4-3i…

A:

Q: -1 46. y = cos¯¹(x + sin¯¯¹ x)

A: We need to find derivative.

Q: The height, h, in centimetres, of a piston moving up and down in an engine cylinder can be modelled…

A: height function

Q: Give the equation for the function whose graph appears above. Use f(x) as the output.

A: We need to find equation of function.

Q: the function f(x)=1/2x^2+1 find the area under the curve of f(x) from 1 to 4 using upper and lower…

A: Given the function is: f(x)=1/2x2 +1 We need to find the area under the curve of f(x) from 1 to 4…

Q: The direction angles of a nonzero vector a are the angles a, ß, and y (in the interval [0, m]) that…

A: We need to find direction cosine and angles.

Q: Use the half-angle formula to simplify the following expression. 1+cos 12x 2

A: 1+cos12x2

Q: Find the future value. $5481 invested for 4 years at 4% compounded annually

A: given initial value is $5481 time is 4 years rate=4%

Q: Sophia went shopping for a new camera. The listed price of the camera was $26, but the price with…

A: given listed price was $26. price with tax came to $27.30

Q: 89. Let f be a continuous function for all real numbers. Let g be the function defined by g(x) = f*f…

A: The solution is shown in step-2

Q: Consider the following initial-value problem. f'(x) = 9x² – 12x, f(3) = 34 Integrate the function…

A:

Q: At one of its factories, a jeans manufacturer makes two styles: #891 and #917. Each pair of style…

A: According to question,Given data,Each pair of style 891 takes 10 minutes to cut out and 20 minutes…

Q: Use a parametrization to express the area of the surface as a double integral. Then evaluate the…

A: The given surface is:  z=2x2+y2     between the planes z=0 and z=8

Q: Give a possible formula for the function below. Let A = (1, 12) and B = (2, 48). Use the general…

A: given, A=(1,12)  and B=(2,48)

Q: Consider the function f(x) F(1) = 0. Then F(x) = = x3 -7/(2x^2) - 1/(x^4) 5 x7 Let F(x) be the…

A:

Q: Consider the following initial-value problem. f'(x) 5 f'(x) dx = X I f(9) = 32 Integrate the…

A:

Q: Determine if the field F = 19y i+ 19(x+z) j-19y k is conservative or not conservative.

A:

Q: 2. [DA2] Consider the function f(x) = x³ + 3x² - 24x + 4 over the interval [-8, 4]. a. Find all…

A:

Q: 7 Find f(x) dx for each graph of y=f(x), where f(x) consists of line segments and ff(x) 0 circular…

A:

Q: 28. lim (cot x x-0 1 X

A: limx→0cotx-1x

Q: tock value is given by m(t) = at^3+bt^2+ct+d dollars where t is the number of hours after the stock…

A: m(t)=at3+bt2+ct+d

Q: 7 Use geometry to evalute S (|x-1|-3) dx 0 This solution must include a graph a graph of the…

A: ∫07x-1-3dx

Q: Find all the zeros of the function f(g) = g³-g+6 O-2,1+i√√21-i2 O 2,1+2i, 1-2i O 2,1+2i, 1-2i 21+i…

A:

Q: What is the most general antiderivative for the function 8 32x³+ 8 + 5 O 8 6 5x5 2 x 3 - - 3x + C 3x…

A: given function is  f(x)=8x4-6x4-3antederivative of f(x) is F(x)→F(x)=∫f(x)dx

Q: Two airplanes are flying in the air at the same height. Airplane A is flying east at 200 mph and…

A:

Q: s 5. 4 3 2 f(x) = 1 5π/4 -π -3/4 -T/2 -T/4/ -1 -2 -3 -4 -5- -6+ T/4 T/2 3/4 What is the period of…

A: We have to find the equation of the given graph.

Q: D) Evaluate f (r² + y²) dady where D is the disk z² + y² ≤ 4. Usc polar coordinates. (Ans: 647/5) E)…

A: To solve the following

Q: Let r(t) be the hourly rate that an animal burns calories and R(t) is the total number of calories…

A:

Q: ut What are the solutions for sin³x- = 0 in the interval 0° ≤x≤ 360°? x-45° and 225° and 315⁰ and…

A: We have;

Q: Convert from rectangular to spherical coordinates. (Use symbolic notation and fractions where…

A: