Use the graph below to find exact values of the indicated derivatives, or state that they do not exist. If a derivative does not exist, enter dne in the answer blank. The graph of f(x) is black and has a sharp corner at x=2. The graph of g(X) is blue. Let h(x) = f(g(x)). Find A. h'(1) = ____ B. h'(2) = ____ C. h'(3) = ____

Q: In this exercise, we estimate the rate at which the total personal income is rising in a…

A: From the information given:In 1999, the population in this area was 930300, and the population was…

Q: 2. Differentiate the following equations. a. Differentiate. 11 y 1=22²2²² 7x²

A: Since we are given with the multiple  number of subpart  question answer will be according to the…

Q: 28.1-EXAMPLE 1 Write the equation of the tangent to the curve 2 y = x² at x = 2 (Fig. 28-2).

A:

Q: Sometimes a change of variable can be used to convert a differential equation y' = f(t, y) into a…

A:

Q: 6. Find the equation of the tangent to the curve_y=x²-√√2x+1 at the point (4, 13).

A: To find the equation of the tangent and normal to the curve at the point .

Q: 3. xy³ dx + ex" dy = 0 te x = 0 y = 2

A: To solve the following differntial equation.

Q: Solve the initial value problem yy' + x = a. To solve this, we should use the substitution U= u': x²…

A:

Q: -2 10 8 6 4 2 8 10 X Find Q'(1). If the derivative does not exist, explain why. Again: You need find…

A: The graph of the functions  and  are given.The aim is to find the value of the derivative  if the…

Q: O O O 1. Write the function f(x) = value symbols). f(x) = { f(x) = - 10 x +8 as a piecewise function…

A:

Q: 26. Determine (a) f(x) = (c) f(x) = where f is continuous. X \x/-3 2x - 1 2x² + 3x - 2 (b) f(x) =…

A: We have to find where function is continuous.First we will find points where function is…

Q: Solve for LA, LB, and x in the triangle listed below. X 4.32 см B 2.62cm

A:

Q: Compare dy and Ay for y = 4x+1 at x = -1 with Ax = dx = -0.02

A: y=4x4+1 at x=−1 with Δx=dx=−0.02

Q: Find the critical numbers of the function f(x) = 2x³ The critical numbers are 30x²+54x 1.

A:

Q: Find the derivative of: -4√x - 2 x6 Type your answer without fractional or negative exponents. Use…

A:

Q: Express the integrand as a sum of partial fractions and evaluate the integral. 8x +5x+8 3 x-1 -dx

A:

Q: f(x,y) = x^2+ y^2 - 2x + 2y + 5 Step 1: Locate all critical points) Step 2: Calculate the…

A:

Q: Find the limit of s(n) as n → ∞0. 1 [n(n+1 1) n² 2 9 s(n) :

A:

Q: Given the function f (x, y) = 2³ y − y (a) Enter the partial derivative fax (x, y), (b) Enter the…

A:

Q: Find the particular solution of the differential equation that satisfies the initial condition(s).…

A:

Q: lim x 3 x²+2x-15 x-3

A:

Q: 1) z = √√√36-9x² - 4y² a) Draw a contour map using z = 0, 1, 2, 3, 4, 5, and 6. b) Draw the surface…

A: Note:-Since you asked multiple questions, according to our policy we can answer only first the…

Q: A rectangular package to be sent by a postal service can have a maximum combined length and girth…

A: A rectangular package to be sent by a postal service can have a maximum combined length and girth of…

Q: Find the exact value of the trigonometric expression given that sin(u) = −  3 5, where 3?/2 < u <…

A: Find the exact value of the trigonometric expression given thatsin(u) = − 35,where3?/2 &lt; u &lt;…

Q: Given the function f (x, y) = 3x²+y (a) Enter the partial derivative f (x,y). 团 (b) Enter the…

A: We have a function f(x, y) which depends on two variable x and y where x and y are independent of…

Q: Find dy/dx by implicit differentiation. x = 9 In(y² - 3), (0, 2) dy dx Find the slope of the graph…

A:

Q: (1) Determine if the series are divergent or are absolutely or conditionally convergent: (2) Σ n=0…

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: Using the definition to proof a derivative formula f'(x) = lim, to f(x+h)- f(x) h

A:

Q: A stone dropped into a still pond sends out a circular ripple whose radius increases at a constant…

A:

Q: xy Two resistors wired in parallel in an electrical circuit give an effective resistance of R(x,y)=…

A:

Q: given that h(x) = f(g(x)) where  f(x) = ln(x^2+1) and g(x) is a differentiable function with g(1)…

A:

Q: Find the points on the curve given below, where the tangent is horizontal. (Round the answers to…

A:

Q: A solid is formed by adjoining two hemispheres to the ends of a right circular cylinder. The total…

A: The total volume of solid is 28 cubic centimetres.

Q: Find the particular solution of the differential equation that satisfies the initial condition(s).…

A:

Q: Find F as a function of x and evaluate it at x = 0, x = π/6, and x = ¹/2. X 6²c F(x) F(0) F(T) =…

A:

Q: 7. ydx -(x + √ y² = x² X = 1 1=6 dy = 0

A:

Q: - A function f(x) = x² was reflected over the x axis and translated 2 units up. What is the equation…

A: The given parent function is

Q: Use derivative rules to differentiate the function. Perform reasonable simplifications. f(y) = y²c…

A:

Q: Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an…

A:

Q: -4-3 -4 0-3 -2 Select all the points at which the graph above is not differentiable -1 00 01 2 4 3 4…

A:

Q: Solve the initial value problem 2yy' + 4 = y² + 4x with y(0) = 7. a. To solve this, we should use…

A:

Q: Solve. Round to the nearest hundredth if necessary.   Express 70m/s in feet per second…

A:

Q: Since when can we take the natural logarithm of a negative number?

A: We have to tell when we can take the natural logarithm of a negative number

Q: Find the length of the curve r(t) = (2t3/2, cos 3t, sin 3t) from 0 to 3.

A: To find the length of the curve  from 0 to 3.

Q: Consider the following function and closed interval. f(x)=√1-x, [-8, 1] Is f continuous on the…

A:

Q: 1. f(x) x² - 49 x² - 6x - 7

A:

Q: Yes No 2. Is the following graph a function? 44 0 2

A:

Q: If f(t)= sec(t), find f F-(-3). *-(-²) -

A:

Q: Find the limit (if it exists). (If an answer does not exist, enter DNE.) √x + 10 - 4 X-6 lim X→6

A: given limit

Q: Find the Riemann sum for f(x) = x² + 3x over the interval [0, 8] (see figure), where Xo = 0, X₁ = 1,…

A:

Q: Find the indefinite integral. (Note: Solve by the simplest method-not all require integration by…

A: