C. Domain Range D. Domain Range

Q: S 3 T 2 For the above rational function f(x)= 3 Q 17 2x² +2.5 . identify the interval on which f is…

A:

Q: (iv). limit x-0 ²-1 - x - x ²³/₂2 - x² - x ²%/ e 6 x4

A:

Q: Find the differential dy of the given function. (Use "dx" for dx.) 8 y = 2√x + 4 dx *- (√x +++1)x dy…

A:

Q: (iii) Find the total area of the following shape PQRS. (You may need a calculator) 7cm 12pt…

A:

Q: A piece of cardboard measuring 10 inches by 8 inches is formed into an open-top box by cutting…

A: Given, Card board size  10inches ×8 inches By cutting squares with side x on each corner.

Q: Determine whether the function is differentiable, continuous, both, or neither at the value where…

A:

Q: A company that produces cell phones has a cost function of C-52²-1852 +17363, where is the cost in…

A:

Q: 8 S 1 Inxdr a. 0 b. 1 C. -1 ||

A:

Q: Evaluate the integral below by interpreting it in terms of areas in the figure. The areas of the…

A: Given in the figure A1 = 7 , A2 = 3,  A3 = 2  and A4 = 2. Concept:-  If In [a,b] y = f(x) ≥ 0 then…

Q: A. Find the general solution of y" = 12x². dy B. Solve for y F dx - 4 x²-1

A: The given differential equations A) y''=12x2 B) dydx=4x2-1 use the integration formulas,…

Q: -3 -2 -1 у 1 - 1 -2 -3 -4 -5- 1 2

A:

Q: y(x tan x + In y) dx + tan x dy = 0.

A:

Q: -) 5cos(x +40°) - 3.6 = 0

A:

Q: (i) Solve the following triangle. (You may need a calculator) C A 45° 105° N B

A: As per the guidelines, we must answer only one of the multiple questions given. Therefore, I answer…

Q: slope y-intercept Draw the graph. ● No Solution y=- — x Help -10 m = (x, y) = 88 x -3 -2 -1 10 0 8 7…

A: Graph

Q: The position function of an object is given by r(t) = (t2, 8t, t²- 28t). At what time is the speed a…

A:

Q: 3. Given the vectors a, b, and c, show how to construct the following vectors using the triangle law…

A:

Q: 7 Find the area under the curve y = x over the interval [1, 5]

A: Please refer to the image below

Q: Consider the function f(x) = 4 − 2x² on the interval [ – 2, 3]. Find the average or mean slope of…

A:

Q: 00 3) Use the integral test to determine whether the series k=1 ke-2k diverges converges or

A: We have to check weather the given series is convergent or Divergent in nature.

Q: -6-5-4-3-2-1 6 I 4 3 2 L -2 -4 -5 T 2 3 4 5 6 X

A:

Q: tan (2x + 3). Find the differential dy when x = 3 and dx Let y = Find the differential dy when 3 and…

A:

Q: (4) (d) 2-7 dx 4x-2 x²-1 (4) (e) S 7x (4x²+5)3 dx

A:

Q: Question 14 (1 point) ✔ Saved Determine the scalar equation of a line with a normal vector passes…

A:

Q: The volume of a right circular cone of radius x and height y is given by V = volume of the cone is…

A:

Q: f(x) = 2 - 1x + 1 4 (x - 4)2, x + 16, x ≤ 0 0 <x

A:

Q: lad Use Green's theorem to evaluate y² dx + 3xy dy, where c is the boundary of the semi annular…

A: Given Problem:- Use Green's theorem to evaluate ∮cy2dx+3xydy where c is the boundary of the semi…

Q: If z = tan d. 6 b ¹ (²) 2 c. d 2 1+z² 1-z² 1+z² then sin x = 22 1+z² None of the choices

A: To find the value of sin(x) in terms of z.

Q: .1 Simphiwe bought meal tickets to use at the school's cafeteria. E requires 2 tickets, and she…

A: Topic:- application of algebra

Q: Find the equation of the tangent line to the curve y = 4x cos x at the point (, - 4). The equation…

A:

Q: -10 -5 f(x) 10 10 5 10

A: Note: Since the student has posted 2 sub-parts of the question in which the part (1) is complete and…

Q: Let f(x) x³ + 6x² 36x +11. = (a) Use the definition of a derivative or the derivative rules to find…

A:

Q: An internet bookstore charges $15 shipping for orders under $100 but provides free shipping $100 or…

A:

Q: A y 10+ -10-8 -6-4 -2 8 9 2 2 7 6 8 -10- 2 45 8~9 10 X

A:

Q: Evaluate the integral using the following values. [x³ dx = 260, x 29 - ·[³x dx = 10, [³dx = 2 (29 -…

A:

Q: Find the slope of the tangent line to the curve − 3x² + 2xy − 4y³ at the point (4, 1). - 44

A:

Q: For the following equation, find Answer: dy da || y = -4x5 8x³ + x² +9x

A:

Q: Given f''(x) = 5x - 2 and f'(-2) = Find f'(x) = and find f(1) - 4 and f(− 2) = 4.

A: Topic = Integration

Q: Use the matrices below to perform matrix multiplication. B If the operation is undefined, enter NA.…

A: Please see the below picture for detailed solution.

Q: 4) Activity 5: Check for Understanding (10 mins) NOV ob For the equation of y²dy = x(xdy - ydx)e*/y.…

A: We can find the degree of the given function and differential equations.

Q: Evaluate the definite integral. Use a graphing utility to verify your result. 9 [(u - 2) du Submit…

A: Topic:- application of integration

Q: 5-4-3 2-1 10 9 8 7 6 5 1 y 4 32 3+ 2+ 1 2 234 3 4 5 -6 1 2 3 4 5 X

A: Please see the below picture for detailed solution.

Q: im not really understanding because its typed

A:

Q: 2. cotx = sin xsin π 2 --x+cos² x cotx

A:

Q: Consider the curve r(t) = (5t² − 3)i + (3t - sin(t))j. - y -5 5 a(t) = -5 5 10 15 20 (a) Find the…

A: The given curve rt=5t2-3i+3t-sintj use the derivative formulas, ddttn=ntn-1ddtsin t=cos tddtcos…

Q: Solve (x² 1 + 2y) dx + (1 - x²) dy = 0; when x = 2, y = 1 1) (x + 1 + 2 ln x 1|) b. (x + 1) y = (x −…

A:

Q: EQUATIONS 5y" - (y')4 = y³ sin x yy" + 2x = tan x )' - - 8² 8f + (9) St² - 8³ M dy³ dy² xt' + (t")3…

A:

Q: A piece of cardboard measuring 10 inches by 8 inches is formed into an open-top box by cutting…

A:

Q: Consider the function f(x) = r? – 5 +4 x + 1 a. Find the first derivative. f'(x) = b. List any…

A:

Q: Wha is the derivative of exp(22²)? ○ 4a exp(2x²) exp(2x²) 2x² - exp(22²) exp(4x) ○ 4x exp(4x) ○…

A: