1. Consider the function f(x) =-2(3x– 3)* + 1. a) State transformations. b) Use TWO of the following methods (table of values, intermediate table or mapping notation), find key points. c) Then graph the function. (A5, C2)

Q: 4x +4y+ 8x - 16y = 44 %3D

A: Topic = Geometry

Q: 5. A 6-ft man walks away from a 15-ft lamppost at a speed of 3 ft/s. Find the rate at which his…

A:

Q: Find the limit. NOTE: Enter the answer using round brackets. t2 +7 1 (?, ?) lim t+\6t2 + 7'5t

A:

Q: Draw the graph, identify the region, and sketch the representative rectangle. Label the graph…

A:

Q: The sides of an equilateral triangle are increasing at a rate of 10 cm/min. At what rate is the area…

A: let side of triangle = x    Given

Q: A 20ft ladder is placed against a wall. If the top of the ladder is dropping at a rate of 5ft/min,…

A: given

Q: Evaluate the integral -2x + 4 dx J (x² + 1)(x – 1)

A:

Q: Using the following graph of the function f, evaluate the limits (a) through (i). (a) Select the…

A:

Q: r = 4 csc(0) – sec(0). Convert to an equation in rectangular coordinates. (Use symbolic notation and…

A:

Q: Let f(x) = 4x^2 – 7x. Use the ɛ/ō-definition of the derivative to prove that f(2) =9.

A: given :f(x)=4x2-7x

Q: A producer has determined that the revenue generated from the production and sale of x units of a…

A: what interval(s) of production is the revenue increasing and for what interval(s) is it decreasing?

Q: Find the area of the largest rectangle with one corner at the origin, the opposite corner in the 1st…

A:

Q: The series 32n-54-1 -2n is n=1 Select one: O a. is a divergent geometric series. O b. is divergent…

A: This question can be solved using the concept of ratio test for convergence and divergence.

Q: Use the formula K(t) ||r(t) × r"(t)|| to find x(t). r(t) = 2 cos(4t)i + 2 sin(4t)j + 9tk K(t) =|

A:

Q: dy/dx - y = xy5 = 0 Ans. 1/y* = -x++ ce 4*

A:

Q: 1. Find the value of the directional derivative at the particular point Po for the given function in…

A: Given that gx,y=y2tan2x ; U→=-32 i^+12 j^ ; P0π3,2We need to find the value of the dorectional…

Q: 4(sinhx dx 5. Evaluate Vi+x? V1+x°

A:

Q: Find y if y= 3(x³ – 7x+2)5 +4x -2.

A: Topic = Derivative

Q: A particle is moving with acceleration = 6t + 12. its position at time t = 0 is a(t) s(0) = 5 and…

A: First use the integration to find the velocity then again integrate to get the position function.

Q: 9. Find the volume of the parallelepiped defined by the vectors. [8, – 3,4] [- 2,9, 1] w = [0, – 4,…

A:

Q: (2х — 8)dx 2 — 6х + 18

A:

Q: -4 Compute f(x)dx ={ 2x if x1 NICN NGON

A:

Q: If (-1)" an is convergente then 1/an is n=0 divergente Select one: O True O False

A:

Q: where did you get 10 and 6?

A: Here we have assumed that each rectangular run is x feet by y feet. That means: length = x width = y…

Q: Find the maximum and minimum values of the radius of curvature for r(t) = ⟨cost,sin t,sin t⟩, if 0 ≤…

A:

Q: Consider the following series. s (-1)" n = 2 In(3n) Test the series for convergence or divergence…

A: According to bartleby guidelines I can only answer the first three sub-questions of the given…

Q: Find the area of the region. See Examples 1, 2, 3, and 4. f(x) = (x – 5)3 g(x) = x - 5 y 1.5| 1.0…

A: This question can be solved using the concept of area under curves.

Q: S 2x(ex²+1 – 2x*) dx

A:

Q: ider the function f(x) = 3 – 72² on the interval [- 6, 7]. Find the average or mean slope of th cion…

A: We wil use the mean value theorem.

Q: 2. [Growth of a tumor] When the radius of a spherical tumor is 6 mm, it is growing at a rate of 0.1…

A: To determine how fast the volume is changing.

Q: Solve the two items using Integration by parts. 1. [x' V9- x² dx 2. Te2* sin x dx

A:

Q: Find the area of the region. See Examples 1, 2, 3, and 4. f(x) = x2 - 7x + 6 g(x) -x2 + 5x + 6 y 10…

A:

Q: x + 4 dx x² + 2x + 5

A: ∫x+4x2+2x+5dxx+1 is a scalable factor of x2+2x+5, so divide x+4 by x+1=∫x+1x2+2x+5dx+∫3x2+2x+5dx

Q: 3 If f(2) - 8, and f'(2) 4 - 1 Let f'(x) be the inverse function of f(x). (f-1)'( - 8) = - 1 Write…

A:

Q: 21. A group of 10 women and 6 men must select a four-person committee. How many committees are…

A: Let's find.

Q: The following is the graph of a function f(x). -5 -4 -3 -2 -1 2 4 5 -2 -3 -4 -5 Clear All Draw: a.…

A: Given problem:-

Q: A particle moves in the xy plane so that at any time –2 <t< 2, x = 3 sin t and y =t – 4 cost + 1.…

A:

Q: dy/dx + 2xy + xy = 0 Ans. 1/y3 = -;+ 1 + ce3x? 2

A: The given differential equation is  dy/dx + 2xy +xy4=0

Q: 8. Between 0°C and 30°C, the volume V (in cubic centimeters) of 1 kg of water at a temperature is…

A: density=massvolume For  density to become maximum, volume needs to be minimum. Given

Q: Find the area of the specified region. (Do not count area below the x-axis as negative.) the area…

A: The area is bounded by the curves:y=25-x2 ; x axis ; x=-5 and x=5

Q: Using disks or washers, find the volume of the solid obtained by rotating the region bounded by the…

A:

Q: Consider the graph and determine the open intervals on which the function is increasing and on which…

A: Observe the given graph and decide whether function is increasing or decreasing.

Q: (a) Find the extreme values on [–1,4] of p (x) re-z²/8. = xe

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: Question 1: Using appropriate substitution tan'x xp: sec5x

A: LetI=∫tan3xsec5xdxI=∫sin3xcos3(x)1cos5xdxI=∫sin3xcos3(x)×cos5xdxI=∫sin3xcos2xdxI=∫sin2xsinxcos2xdxI=…

Q: If f(x)=-(x -4), find (a) The x-intercept and the y-intercept (b) The interval where the function is…

A: The given function f(x)=-x2-43

Q: Find g'cx) gon= XX dx

A:

Q: ||P(t) × r"(t)|| Use the formula «(t) to find x(t). r(t) = t²i + t³j K(t):

A:

Q: Evaluate the integral. 1 (4 + r)3 dr

A:

Q: cos(x ) + æ5.1 dx. )ln(1+x² 3 cos(x Evaluate 1+ el.61x – 68 - 3. answer

A:

Q: 9* 3 19. P. 8" 4 P. 10 7 20. 8* 6

A: 19. P39P4820. 19.