The graph shown is f (x) = V2x + 1. 3+ 54 3-2-141 2 3 4 5 -2 -3 -5 If g(x) = f(t) dt, what is g' (4)? o gʻ(4) = 2 %3D o gʻ(4) = 3 %3D o g'(4) = 4 o g'(4) = 5 %3D 543 21

Q: Find the derivative. I+5 = (x) 6 12 + 2 Select one: 2 (z + 5) (-x² – 10z + 2) g' (z) 2,

A: Here we have g(x)=x+5x2+22  

Q: 2. Use the Integral Test to determine if the series Σ (n + 2)/4 1 n=1 converges or diverges.

A:

Q: (2) Solve the following (i) |10–3x|517 (ii) x² – 6x 213.

A:

Q: Use the Chain Rule to find the indicated partial derivatives. x = r cos(0), y = r sin(0), z = re; w ...

A:

Q: A balloon leaving the ground 60 ft from an observer rises vertically at the rate of 10ft/sec. How fa...

A: Given,            A balloon leaving the ground 60 ft from an observer rises vertically at the rate o...

Q: Given y = yu and u = sin x, find dy/dx = f' (g (x)) g' (x). Select one: cos z 2/sin a 1 tan x sin r ...

A:

Q: Find the limit by rewriting the fraction first. ху - 2у - 2x+4 lim x-2 (x.y)-(2,4) X+2 ху - 2у - 2x ...

A: Individually we will find limit for x and y. For limit with respect to x, y=0 and limit with respect...

Q: 14. Radium decomposes at a rate proportional to the amount at any instant. In 100 years, 100 mg of r...

A:

Q: Determine whether the series converges. k Σ In(k + 3) k=1 The series converges. O The series diverge...

A:

Q: Given y = 6u - 9 and u = (1/2) x*, find dy/dx = f' (g (x)) g' (x). Select one: 12z3

A:

Q: Given revenue and cost functions R(q) = 70q - 0.3q and C(q) = 14q + 500, find the quantity that maxi...

A:

Q: 1. DETAILS LARCALC11M 9.4.030. Test for convergence or divergence, using one of the tests listed bel...

A:

Q: An+1 to determine if the sequence an is strictly increasing or strictly decreasing. Usethe ratio 6n ...

A: This is a series problem

Q: Use your graphing calculator (or Desmos 2) to graph the following quadratic functions. a. Let f(x) =...

A:

Q: Find the equation of the curve at every point of which the tangent line has a slope of 4.r. (a) (h) ...

A:

Q: S x sec?x dx

A:

Q: ting factor for the given differential equation is

A:

Q: Given the the parametric curve S x(t) = est – 2t l y(t) - 8t sin t dy (a) Find an expression for dx ...

A:

Q: Monte Carlo integration is used to estimate the integral 2 4 I = 5 dz dy dx by generating random poi...

A:

Q: A particle moves along the x-axis so that at time t > 0 its position is given by x(t) = t* - 24t2. D...

A:

Q: Problem 1: An open rectangular box is to be constructed by cutting square corners out of a piece of ...

A: From the figure above; The base of the box that will be created is a rectangle of length = (14- 2x) ...

Q: Which of the following is a differential equation with homogeneous coefficient? a) (y² – Vx² + y² ) ...

A:

Q: 17. Determine the equation of the family of orthogonal trajectories of the the family of curves defi...

A: Given; y2=2x+c Now differentiate the given function with respect to x. ddxy2=ddx2x+c2y2-1dydx=ddx2x+...

Q: Given revenue and cost functions R(g) = 90g - 0.2g and C(g) = 13g + 500, find the quantity when prof...

A:

Q: 2. Find the general solution of the given differential equation. dr + rsece = cos0 do

A: The given differential equation is; dr/d(theta) + r sec(theta)=cos(theta).

Q: 17. Determine the equation of the family of orthogonal trajectories of the the family of curves defi...

A:

Q: 3. Old McDonald has a farm with 30 chickens. The chickens comprise 40% of his farm, and the rest of ...

A:

Q: 6. A safe uses a code that is made up of two letters followed by three digits. How many possible cod...

A:

Q: Determine the focus and directrix of the parabola with the given equation. Sketch the graph, indicat...

A:

Q: Suppose f(x) = – 0.5 · x² + 3 graphing calculator (like Desmos function f. a. Determine the interval...

A:

Q: find the inverse of matrix B= -87 to

A: Inverse of the matrix can be calculate by finding adjoin of the matrix and determinant of the matrix...

Q: 1. Suppose that ū, ī, and w are vectors in R³ such that ūxi= (2,7, 3) and ū xũ = (-5,4,0). Find: (a)...

A:

Q: rections: Find the extrema of the following fuctions on the given interval. Determine the value of x...

A:

Q: Verify the inverse function theorem of y = Vx +2

A:

Q: Use the formula for the binomial series: m(m–1)---(m-k+1),★ + k! m(m-1) 2! m(m-1)--(m-k+1) „k if k=1...

A: expansion through maclaurin series .

Q: The complementary solution, ye, of the equation y" + 2y" + y' = 10 is %3D (a) ye = C1e¬ + c2e¬* + C3...

A: For the solution follow the next step.

Q: 1. Let {an}1 be a convergent sequence such that V5 and an+1 V5 a,. aj = Compute lim an.

A:

Q: You are flying in a small airplane at an altitude of 6161 feet. From that second, your horizontal ai...

A:

Q: A certain radio active substance has half-life of 38 hours. A. Determine the value of k in four deci...

A: For the radioactive substance, the equation of life is given by: N=N0e-kt...(1)

Q: 1. Determine the order and degree of the differential equation d'y' 2 -222 dr4 + 4.r dr? 1 = 0. (a) ...

A: Given:-  

Q: Which of the following best describe/s the derivative of a function? I. The slope between any two po...

A: the deriative of function dy/dx is give the slope of function rate of change and  (y1 - y2)/(x1 - x2...

Q: Use sigma notation to write the Taylor series about x = xo for the function. In x; xo 1 EO (-1)*+1 (...

A:

Q: Consider a round water glass of the following dimensions. 8 cm 10 cm 6 cm Use integration to compute...

A:

Q: For an exponentially growing quantity that grows at a rate of 4.0% per year, approximate the number ...

A: topic - exponential function

Q: Set up a definite integral with respect to x (dx) (set up only, do not evaluate the integral) to fin...

A:

Q: An angle that has its terminal side lying along an x or y-axis is called a quadrantal angle. Which o...

A: Note: Here there are two separate questions, according to policy of our company we will solve the fi...

Q: 3. Determine whether the given differential equation is exact. If it is exact, solve it. e (x – y3 +...

A:

Q: The Value of the Variablex that ful fills the la Fo llowing eauation %3D

A:

Q: The edges of a cube are expanding at a rate of 6.452 centimeters per second. How fast is the surface...

A:

Q: Identify u and dv for finding the integral using integration by parts. Do not integrate. dx u = dv =...

A: Topic = Integration