Graph. f(x)= 3, for xs-2 |x²₁ for x>-2 Choose the correct graph. O A. A Q C OB. Q Q OC. N Q Q ✔ O D. Ay Q ✔

Q: Mr. Smith is 6 ft tall and walks at a constant rate of 2 ft/sec toward a street light that is 10 ft…

A: The objective of this question is to find the rate at which the length of Mr. Smith's shadow is…

Q: Break-Even Analysis The table below contains price-demand and total cost data for the production of…

A: The given table…

Q: a. Evaluate b. Evaluate S √x+3 X a. Evaluate dx using integration by parts. x + 3 c. Verify that…

A:

Q: Find the third degree Taylor polynomial centered at c = 1 for the function. f(x) = √√x Select one: O…

A:

Q: Give the derivative of y=.

A: The given function

Q: • A ship leaves a port traveling 50.0 km 45.0° northwest and then 70.0 km in a direction 30.0°…

A: Given the ship leaves a port traveling 50.0 km 45.0° northwest and then 70.0 km in a direction 30.0°…

Q: f(x) = 7x^-8e",

A: f(x)=7x4−8exUsing the power rule,ddxxn=nxn−1ddxeax=aeax

Q: (20%) Use the following principle of differentiation y' = (y) = (y + Ay)− Y = lim Ay _ dy d = lim dx…

A: Solution is following in explanation step.

Q: Find the closest point contained in plane 2x + y + 3z = 7 to point S (2, 1, 0). 12) to the plane 2x…

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Q: For the given position vectors r(t) compute the unit tangent vector T(t) for the given value of t.…

A:

Q: Find the limit, if it exists, or type N if it does not exist. 4xy + 4yz+xz 16x² + 16y² + z² lim…

A: To find:-

Q: If z = 7x² + y² and (x, y) changes from (1, 3) to (1.05, 3.1), compare the values of Az and dz. dz =…

A:

Q: d. Ek-2h(k) e.Ek=19(k)h(k)

A:

Q: Find the Maclaurin polynomial of degree 4 for the function. f(x) = cos(3x) Select one: O a. 1- O b.…

A:

Q: Consider the function f(x) = at x = 0.8. Compute the value of f(0.8) and P₂(0.8) Round your answer…

A:

Q: Find Maclaurin's series f(x) = √²x.

A: The objective of this question is to find the Maclaurin series for the function f(x) = sqrt(2x). The…

Q: h(x) P X 1 2x

A: we are given a function and we need to find out where it is concave up and concave down.

Q: Let f(x) = In[x4(x + 6) (x2 + 4)2]. Find f'(x). f'(x) =

A: We need to find derivative of f(x).

Q: (a) x6 (b) x² - 4 + 4x² + 16 + Ax + A x - 2 te (x² − x + 1)(x² + 9)² B -x+ + + B x + 2 Cx + D 2 '+9…

A:

Q: f(x) = (8 - x)(x + 1)²

A: Given: To Find:(A) To find the critical numbers of f, if any.(B) To find the open intervals on which…

Q: Evaluate tr(g(t)) using the Chain Rule: r(t) = (et, et, -8), g(t) = 6t - 7 r(g(t)) = (

A:

Q: Find f'(a) if f(x)=√√√x-a+1. A B a+1 1 P C1 na D √√√a+1

A: we need to find out the derivative of the function at x=a.

Q: Find the maximum rate of change of the function f(x, y) = 4y³ X at the point (2,1)

A: To find the maximum rate of change of the function  at the point .

Q: Q/find the integral (After integration with the substitution X = 25 in U 4√2 3 2 (4- x²)³/2 dx -2

A: The given integral is

Q: Find a positive value of k such that the average value of f(x) = √6x over the interval [0, k] is 20.…

A:

Q: 1) Calculate the distance between M(-3,0,2) and the line given by r(t) =

A:

Q: Megh 5.) P varies directly with with r P = 14 3 what r $ 2=2 P € A F=3 2=5 2 & inversety and r=8

A:

Q: Find the roots m₁, m₂ of the characteristic equation of y" + 8y' + 6y = 0.

A:

Q: Verify the identity. 1 - cos x sin x + sin x 1 - cos x = 2 csc X

A:

Q: Determine the equation of the tangent to the curve y= (2x^2-3)(x+1)^2 at the point where x=1 Thank…

A: The equation of the tangent line to a function y= f(x) at (a,b) is given byy - b = f'(a)(x - a)

Q: Find the absolute extrema of the function (if any exists) f(x)=x^3ー21 (0,2)

A:

Q: Find the exact volume of the solid obtained by rotating the region bounded by the given curves about…

A: Given that the region is bounded by the curve  and line

Q: Find the equation of the tangent plane to the surface z = e (2, 4, 1.849). Z= - 12/17 In (2y) at the…

A: To find the equation of the tangent plane to the surface  at the point .

Q: Give the derivative of y" 7/17

A:

Q: The following table shows the results of a survey of authors by a (fictitious) publishing company.…

A: The objective of the question is to find out the percentage of established authors who are…

Q: Solve the absolute value fucntion f(x)=|x-2|+|x+1|-4

A: Therefore , the only valid solution for the function f(x)=∣x−2∣+∣x+1∣−4isx=25​  For x<−1, no…

Q: Consider the following. sin(20) 2 - 3 sin(0) Use the substitution u = sin(0) to rewrite the given…

A: The given integral

Q: nd the area of the region enclosed by the curve y = x² +2, the x-axis and the lines x = 0 dx=1.…

A:

Q: Evaluate Se²x 2x Se²x 2x cos (5x) dx. cos (5x) dx = e2x. (5 sin (5x) + 2 cos (5x)) 19 + C

A:

Q: Find a vector function that represents the curve of intersection of the paraboloid z = 3x² + 2y² and…

A: To find a vector functionwheny=4x2z=3x2+2y2

Q: Determine the interval of convergence of the following power series (−1)n-12n+1 Σn=0 (2n+1)! ²

A: The objective of this question is to find the interval of convergence for the given power series.…

Q: Compute the length of the curve r(t) = (-8t, 3t — 8, —8t + 7) over the interval 0≤t≤8 L =

A: To compute the length of the curve  overthe interval .

Q: 28 Mr. Durham bought 160 fluid ounces of plant food for his garden. He used 1 cup of plant food to…

A: Mr. Durham bought 160 fluid ounces of plant food for his garden. He used 1 cup of plant food to…

Q: what domain and range of function? f (x, y) 2 x²-y y²-x

A:

Q: I K I G R Q Match each equation with a graph above 102 ✓log(x) e™ In(x) +B+ a. blue (B) b. green (G)…

A:

Q: 5. Consider the following. r₁(t) = (4t, t², t³), r₂(t) = (sin(t), sin(3t), 5t) Find r(t) and r2(t).…

A:

Q: Use one of the reduction formulas shown to the right (which are valid for a # 0) to evaluate the…

A:

Q: 4. A discus is thrown from a height of 4 feet with an initial velocity of 65 ft/s at an angle of 44°…

A:

Q: 217 23 14. Find the distance between P1(7, 101) and P2 (5,-) on the polar plane.

A:

Q: 2) Show that: cos (0) sin (0) (6) (5) - (² Xp = Yp sin cos (0) a))) ||rp|| cos (0 - a) -||rp|| sin…

A: This answer is given below.Explanation: