Find dx² 2 y=√x

Q: Find the area of the region that is bounded by the given curve and lies in the specified sector. r =…

A: r=eθ,3π4≤θ≤3π2

Q: he graph of the derivative g' has exactly two roots. Complete parts a through c. OB. There are no…

A:

Q: Find the area of the shaded region. y 3 2 1 (1, 1) 2 y = ³x y || 4 1 X 6 X = 8 CO 8 X

A: Given equations of the curve

Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y.…

A:

Q: Compute the following limit using L'Hospital's rule if appropriate. lim (√2³-42² - 2) = I->∞0

A:

Q: Z₁ cos# = 2 V₁ 1 V +(x-2- sin e Z₁ cos Z₁ X + V₂ V₂ cos 9) +1/+ Z₁ 1 V. cose V 2 -sin 0 +

A:

Q: A rectangular beam is cut from a cylindrical log of radius 50 cm. A cross-section of the log is…

A:

Q: Evaluate the indefinite integral. 0+ +C 54 sin x COS X dx

A:

Q: 2. Consider the floor function [.] whose output is the largest integer less than or equal to the…

A:

Q: Let f(x) = -x+7 and g(x) = x^2 -2 evaluate the expression f(g(1))

A: We have to find f(g(1)) for the given function. It is a example of composite function. We replace x…

Q: Find the area of the shaded region. -1.0 -0.5 y 8 6 y=3e 4 2 0.5 (1, 3e) y=3xet² 1.0 1.5 2.0 X +

A:

Q: Sketch the graph of f by hand and use your sketch to find the absolute and local maximum and minimum…

A:

Q: Evaluate the following limit. lim x³e -x² xxx = Note: Input DNE, infinity, and -infinity for does…

A:

Q: 7. u = (2, 2), v = (2, −2) 8. u = (2,-2), v = (−2, 2)

A:

Q: 2. Exponential Growth: The table below represents an exponential function. Find the missing values.…

A:

Q: b) Consider the triangle formed by the side of the house, ladder, and the ground. Find the rate at…

A:

Q: The population P (in thousands) of Tallahassee, Florida, from 2000 through 2018 can be modeled by P…

A:

Q: show x on left side Inverte COAS Isolate x. For answer, show X on 2 (x-3) - x ≤ 10x + 5

A: Solve tye given equation  for x

Q: Find the maximum and minimum values of the function f(x, y) = 2x² + 3y² - 4x - 5 on the domain x2 +…

A:

Q: c) On the cartesian plane below, put a point where the following coordinates are. a) A (-5, 4) m i…

A: Consider the figure

Q: 2. Use Calculus to find all local extrema of the function g(x)=x√3-x.

A:

Q: Find the absolute maximum and absolute minimum of the following function on the given interval. 1…

A:

Q: J 4³ (u + 1)² du

A:

Q: 4. a. Find the maximum and minimum points for the following. 2 f(x) = 3x3 - 2x b. f(x) = (x² - 9) ³

A:

Q: Suppose f(x, y) = (x - y) (25 - xy). Answer the following. Each answer should be a list of points…

A:

Q: The temperature at a point  (x, y)  is  T(x, y),  measured in degrees Celsius. A bug crawls so…

A:

Q: Form a polynomial whose real zeros and degree are given. Zeros: -4,0,3; degree: 3

A: Form a polynomial whose real zeros and degree are given.Zeros: -4,0,3; degree: 3

Q: A student solves an optimization problem as in Model 1, except that in the problem Mini and Max are…

A:

Q: Determine if the series diverges. If it does diverge, type a upper case D as your answer, and if the…

A:

Q: (a) Find the unit tangent vector on the curve r(t) = [cos (t),2t,3sin(4t)] when t = 0.

A: To find the unit tangent vector on the curve .Note: Since the student has posted multiple questions…

Q: At what point(s) on the curve x = 6t² + 9, y = t³ - 5 does the tangent line have slope 2 (x, y) =

A:

Q: Isolate 9.\ 2 5 = 22 gt² + vt gt² + avt ??? 25 = 25= 2 ut(+ +2 g = expected: -avt + $25 t²

A:

Q: The graph of y = f(x) is given below. -5 150 num -4 lim f(x) AI-1 -3 -2 5 4 3 2 -1 -1/ 1 2 4…

A: A graph of the function  is given.The aim is to find the given limits.

Q: If 1800 square centimeters of material is available to make a box with a square base and an open…

A: Let the side of the square base = x cmLet height of box = y cm

Q: differentiate y(theta) = e^cot theta

A: given function

Q: If h (x) = (x² – 2x 43 04/0 0 - 12/25 3 00 - (x² – 2x − 1) ³, then h' (0) =? - 43

A:

Q: Find f. f(t) f'(t) = t³ + -/-/7₁ t5 t> 0, f(1) = 4

A:

Q: The number of books checked out from the library from 25 students are as follows: 0; 0; 0; 2; 2; 3;…

A: Consider the data 0,0,0,2,2,3,3,4,4,5,5,6,7,7,8,8,8,8,10,10,11,11,12,12

Q: (a) Estimate the area under the graph of f(x) = 1 + 2x² from x = -1 to x = 2 using three rectangles…

A: We have given that, the function is    , x = -1 to 2.(a) For n=3, we have the right Riemann sum…

Q: Sx ³√x²+4 3 S

A:

Q: A formula for the derivative of a function f is given. How many critical numbers does f have? f'(x)…

A: The critical number refers to the value at which the first derivative f' (x) of the real valued…

Q: (b) Use the Fundamental x² :) = ( 4 – t) 1 F(x) = S(4 Chly appr Theorem of Calculus to calculate…

A:

Q: describe what you would have to do to your graph of f(x) to sketch g(x)= (x+1)^2-4(x+1)+3

A: The given function is .The aim is to describe how to sketch the graph of the function using the…

Q: Show that the functions are linearly dependent on the real number line: y1 = 17; y2 = 3cos2x; y3 =…

A: The given functions are  and .The objective is to show that the functions are linearly dependent on…

Q: A radar gun was used to record the speed of a runner during the first 5 seconds of a race (see…

A:

Q: Find f'(t) if f(t)= -2t² - 8t+7. f'(t) =

A: We need to find out the derivative of the given function.

Q: Let g(x)-3x³-20x² Find the relative maximum and minimum values of g. Also find the intervals on…

A: The given function is

Q: 1 3 2 1 a To find the blue shaded area above, we would calculate: ·b [ f(x) dx = area Where: f(x) =…

A: The given graph

Q: (a) Consider the curve y = x - 3x7. d.x (b) This function is not differentiable when = (c) (Give…

A:

Q: The radius r of a circle is increasing at a rate of 3 inches per minute. Find the rate of change of…

A: Please solve the given problem using the concept of derivatives.