Consider the following functions. f(x) = x and g(x) = x² – 10 %3D | Step 3 of 4: Find (fg)(-2). Answer How to enter your answer (opens in new window)

Q: The graphs of y = 7, y = g(x) (solid) and y = f(x) (dashed) are shown; the graph is not drawn to sca...

A: Let's find. 

Q: Find the limits of the functions below a) limx-3 x* sin x b) lim,

A: We can find the limit of both the question as below.

Q: lim -Vx + +sin(x)cos(x) 1+In (x)

A: Topic:- limits

Q: A dilation has center​ (0,0). Find the image of the point ​L(3​,−7​) for the scale factor 8. L'=

A:

Q: 1) @sketch the graph of fwhere Fr)=[sine ], o<x< 37/2 ( is the greatest Pntege's function. 9) O Use ...

A:

Q: IV. Find the derivative of the given function. 1. u = t³(sin ln t – cos ln t) 2. y = e-2* (1 + e-2x)

A: 1) Given:          u=t3sin ln t-cos ln t   derivating on both sides     dudt=ddtt3sin ln t-cos ln t ...

Q: 4. What is the first derivative of f(x) = (x² – 4)(3x – 2)? a. 9x² – 4x – 12 b. (2x)(3) C. 6x d. (x ...

A: Topic:- derivatives  Note:- as per our guideline if more than one question uploaded than only first ...

Q: 3. A woman in a hot air balloon drops her GoPro Hero 10 when the balloon is 175 ft above the ground ...

A:

Q: Use the disk/washer method to set up a definite integral (set up only, do not evaluate the integral)...

A:

Q: x² + 4x +4 x 1 -

A:

Q: Find the nth Taylor polynomial for the function, centered at c. 1 n = 4, c = 5 x2 f(x) = Pa(x) = %3D

A:

Q: Please

A:

Q: 2. -2 2. -2 ere does f have absoluteminuMums absolute minimum is ph h o ccurs at x= edees f have abs...

A: To find the absolute maxima and minima of the function from the graph.

Q: Suppose that functions f and g and their derivatives with respect to x have the values shown to the ...

A: As per our guideline we are supposed to answer 3 subparts of a question 

Q: 10. The following is a power series except for 00 00 (x – 1)" 00 (2х + 5)3п b. 2n Σ а. (2 — 5х)" nn ...

A: Power series is a series of the form ∑n=0∞ cn(x-a)n

Q: Find the area of the region enclosed by y = 4e", y = 9e- and a = 0. 9+ %3D 8- 7. 5- 4- 3 2- 1 0.1 0....

A:

Q: 2. In r dr

A:

Q: 2. Determine f'(1) for the function f(x) = (8x – 6Vx5 + 3) (x² – 9x² +) -

A: A detailed solution is given below

Q: Find the dimensions of the closed right circular cylindrical can of smallest surface area whose volu...

A:

Q: Ax) = x² tan -1 (x³)

A:

Q: с). I(т) — 23 +1

A: The given function is: I(x)=2x3+1

Q: z sin(2- 32)+cos(2 - 3a)+c | 4x cos(2 – 3x) dx 4x cos(3 3r) dx Option 1 Option 2 |4 cos(3- 3z) dr 4....

A:

Q: Evaluate | (3t +t?) sin(2t) dt 1/2 (3t+t^2) cos(2t)-1/4 (3+2t) sin(2t)+1/4 cos(2t)+c 1/2 (3t+t^2) si...

A:

Q: What is the slope of f(x) = (3x+2)(4x-5) at x =-2

A:

Q: s+1 3 F(s) = s2+ 2s-15

A: We know the property of inverse Laplace transform: L-1a·fs+b·gs=a·L-1fs+b·L-1gs And L-11s-a=eat   Gi...

Q: In Exercises 1 to 16, find the critical points of the given function and then determine whether they...

A:

Q: 1. Given y = log3 9. The value of y= %3D 2. If log(r + 2) = 4, then the value of r is %3D 1 3. If lo...

A:

Q: 5. lim tan r 6. lim cos r 7. lim sinr

A:

Q: Find the value of x that satisfies the following equation (2x – 5yi) + (y + xi) = 8-7i В. 4 А. 2 С. ...

A:

Q: Use the Squeeze Theorem to evaluate lim sin(tan x) sech(secx).

A: It is required to calculate the limit limx→π2-sintanxsechsecx. The squeeze theorem states that "Let ...

Q: 2x – x3 - 1. Evaluate dx. J (x – 1)²(x² + 1) - 2. Use the previous item to determine if the improper...

A: We have to solve integration

Q: 16. Find the volume of the solid formed by revolving the region bounded by the following equations a...

A:

Q: The temperature is T degrees at any point (x, y, z) in three-dimensional space and T(x,y, z) = 1/(x²...

A:

Q: The graphs of x = 4, y = f(x) (s

A: Volume =∫ab A(x) dxA(x) = π[(Outer radius)2-(Inner radius)2]  

Q: ould you please explain this to me please? What is the derivative (d/dx):  y=3log8(log2(x))   (y...

A: We can find the derivative as below

Q: Given the graph below, evaluate the following limits: = b Retrieved from:basiccalc_initial_release_1...

A: Find your answer below 

Q: s2-2s+4 4. F(s) = s4 –1

A:

Q: Your equation to represent the amount of money that Dahlia earns for babysitting as a function of ti...

A:

Q: Consider the following functions. f(-3) = 14 and g(-3) = –11 Step 1 of 4: Find (f + g)(-3).

A:

Q: NO NEED TO SHOW SOLUTION FOR NUMBER ONE; JUST USE NUMBER 1 TO SOLVE FOR NUMBER

A:

Q: 3 Consider the following function f(x,y) = +y° + 2xy - 6x- 3y + 4 3 3 3, 2 The critical points are A...

A:

Q: A certain bacteria population is known to quadruples every 90 minutes. Suppose that there are initia...

A:

Q: 2. An iPhone 13 pro max is dropped from the top of the Balayong Park monument, 225 ft high. (a) How ...

A: Solution ) a) s = 225 ft , initial velocity u = 0 According to newton motion equation  s = ut + (1/2...

Q: tanwdw The is equal to 1- tan?w A. In (Vsec2w) + C B.In (Vsec2w) + C C. In (Vsec2w) + C D. In (Vtan2...

A:

Q: 2. f(t) = 6 sint cos t

A:

Q: For the function G(x) = 3 – x, find G(-6), G(u), and G(u) . G(-6) = (Simplify your answer.)

A: For the function Gx=3-x2, to find G-6, Gu, and Gu2.  

Q: Find the derivative of the function. y = (2x – 8x²)3 %3D dy dx %3D

A: The given function,      y=2x4-8x23

Q: Use implicit differentiation to find an equation of the tangent line to the curve at the given point...

A: Please see the below picture for detailed solution. 

Q: Solve the differential equation (x² + 1)y – 2xy – 2x = 0 using the method of separation of variables...

A:

Q: what is csc^−1(csc(3π/5))

A: Given