ppose h(x) = f(g(x)). Given the table of values below, determine h' (2). x f(x) g(x) ƒ'(x) g'(x)| 2 6 3 0 -4 3 4 6 5 -4 5 4 4 -2 3

Q: Differentiate the function. g'(t) = g(t) = ln(8 + tº)

A:

Q: a. Find dy CLIC

A: As per Bartleby answering guidelines when multiple questions are posted in single picture then the…

Q: Would you use the dividing out technique or the rationalizing technique to find the limit of the…

A: see below the aanswer and explanation

Q: Find the point on the graph of the function f(x) = √x that is closest to the point (30, 0). 59 (2)…

A:

Q: Consider the function below and its graph shown to the right. 1 -t if- 10 ≤t<0 f(t) = X F(-10)= Let…

A: Consider the function below and its graph shown below.ft=14t  if -10≤t&lt;0t22  if 0≤t≤10Let Fx=∫-5x…

Q: Use the power series method to solve the given initial-value problem. (Enter the first four nonzero…

A: The given initial value problem:x+1y''-2-xy'+y=0 ; y0=8 ; y'0=-1

Q: 4 3. After an appropriate trigonometric substitution, the integral ²√²+4 dx becomes (c) / cot (d) S…

A: To evaluate the integral

Q: Simplify the following expression: O sin²(u) O 1 - sec²(u) O sin(u) O cos² (u) Ⓒ 1 - cos(u) cos(u)…

A: formula used is  secu=1cosusin2u+cos2u=1

Q: A population is modeled by the differential equation dP P d = 1.2P(1 - 2200) dt (a) For what values…

A:

Q: y = 12 - x², y = x² - 6

A:

Q: Find the area of the shaded region. Ay 121- 99- 77- 55- 33- 11- y=121-x² -33- -55- -77- -99- -121- X…

A: To find the area of the shaded region.

Q: Given f(x) = 19x - 3| +2 25. f'(²-) = If f(x)=(√3x-2)5 then f'(9) = Given f(x) = sin(3x)² 26. f'() =

A:

Q: 4. Find the average value of g(x) 8 4+x² on the interval -2≤ ≤2

A:

Q: For the function f(x) = 2x³-18x²+4: (a) Find the critical numbers of f(if any); (b) Find the open…

A:

Q: Set up an integral which calculates the total distance traveled by the drone between t=1 and t=2?…

A:

Q: Find the Taylor series expansion of f(x) = = = at

A: we have to find taylor series expansion of f(x)  f(x)=1x2= x-2   at  a =1   now ,    f(x)=x-2…

Q: Find the derivative of the function. y' = an−¹(x - √√₁+x²) 2 1 y = 5 tan

A:

Q: 6) as an ice black metts, the note at which its moss M, decreases is directly proportional to the…

A: according to bartleby guide line we do only first part of multipleplease re post other parts 6)…

Q: (a) nsider the change of variable from cartesian coordinates (x, y, z) to coordi- nates (r, y, 0) in…

A: Please see the below pictures for detailed solution.

Q: Determine the 3 axis direction angles of force F in the direction of the vector AB when A = (3,1,8)…

A:

Q: Solve the initial value problem dy € + ² = 5x√ỹ, _y(1) = 2.

A: standard form is dydx+p(x)y=q(x)given  dydx+yx=5xydivide by y  both sides 1ydydx+1x×yy=5xwe know…

Q: If f(2)= 5 and f'(x) ≥ 3 for 2 ≤ x ≤ 6, how small can f(6) possibly be? f(6) ≥ Need Help? Read It…

A:

Q: (i) The velocity and acceleration of a particle is given as v= -4i -9j + 5k and a= 6i - j + 3k Find…

A: Given velocity and acceleration vector v = -4i -9j + 5ka = 6i -j + 3k

Q: Find the Equation for the Graph of a Logarithmic Function HO (7,-4)

A: Let the equation of Logarithmic function,            y= logb(x-a) here,  in the above graph, initial…

Q: The average cost per item to produce q items is given by a(g) 0.01g²-0.6q+17, for q>0. What is the…

A:

Q: Find that interval) Find 4√√x +3 Sv Find a number c in [1,4] where the integrand achieves its…

A: We have to solve that,…

Q: Determine the x-coordinate(s) of any relative extrema and inflection points of the function y=x³ In…

A: Solution: y=x3lnx4 This can be written as y=x3(ln(x)-ln(4)) Then: for having any relative extrema…

Q: 4. Using a right triangle, find the exact value of cos cos (tan-¹²).

A:

Q: If A and B are constants, find where f''(x) = 0 I= f(x) = 9 Ar² + 7. Bx³

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: Transform the given differential equation into an equivalent system of first-order differential…

A:

Q: Q lan for the conic based Yon: Ellipse with major verti #) and a focus point at (9,4_ = sketch and…

A: SOLUTION: Given  that  an ellipse has major vertices at (-5,4),(11,4) And focus at (9,4) Now we have…

Q: Find the length and width of a rectangle that has an area of 392 square feet and whose perimeter is…

A:

Q: Find the local maxima and minima for the function f(x) = x² + 3x - 4. If there is more than one…

A:

Q: If ["F(x) 1.2 f(x) dx = 7.2 and nd ["fix) dx = 5.6, find [° F(x) dx. X

A: we know that ∫abf(x)dx=∫acf(x)dx+∫cbf(x)dx, where c is betwwen a and  bgiven  ∫17f(x)dx=7.2 and…

Q: An architect designs two houses that are shaped and positioned like a part of the branches of the…

A:

Q: Find the derivative of the function f(x) = f'(x) = sin x COS X N

A:

Q: Let f(x,y) = 5xy4 + 5x²y. Find 224 ах = a²fa²fa²f 1 2' ахду' ax2' ay²' and 224 дудх

A:

Q: Use the arc length formula to find the length of the curve  y = 7 − 4x,   −1 ≤ x ≤ 2.  Check your…

A:

Q: Use the function below to determine if the following statements are true or false. f(x) = log5…

A:

Q: Given the absolute function graphed below, find the following: -3 -12 a) Domain: b) Range: 6…

A: Answering the first three subparts of the question,

Q: The given point is on the curve. Find the lines that are (a) tangent and (b) normal to the curve at…

A:

Q: Suppose g(x) has a range of [-2, 6]. Determine the range of the transformation y = 2g(x) - 5 O [-14,…

A: Given: Range of g(x) is [-2,6]

Q: The volume of a sphere is increasing at a constant rate of 198 cubic feet per second. At the instant…

A: let Volume = V V = 43πr3S = 4πr2dVdt= 198 ft3secfor an intance V = 18 ft3

Q: •24-x2 신 0 0 -4-y 0 x dzdydx

A:

Q: 5) Find the divergence of (√x² + y² + z² 5) kî + yî yj + zk)

A:

Q: Differentiate the function. F(t) = (3t - 5)² F'(t) =

A: Let's differentiate given function.

Q: (9)- ८ X+3 tran(x) d. y = √x ln (x)

A:

Q: Question 1: A radioactive element has a half-life of 30 years. If you begin with 7000 grams of the…

A:

Q: If sec(a) O 4/6 6/4 = 250 88 88 13 find the value of cot(a) where a terminates in the first…

A:

Q: Solve the following initial valuc problem using the method of Laplace transforms y" - 4y + 5y = 8c³;…

A: