Find the average rate of change of the function ƒ (x) = x³ + 1 on the interval [-1,3]

Q: 2. Determine all the combinations of cross products between the standard unit vectors i, j, and k.

A: Cross product between standard vectors follows the clock wise direction as shown in the diagram.

Q: how did you break up 3x-2 into 3/8(8x+4)-7/2? is there a method or formula to follow into deciding…

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Q: Differential equation: Initial condition: r(t) =i+j+k dr dt +- (CO₂ (7²)) ₁. = = (3 tan t)i + r(0) =…

A: A detailed solution is given below .

Q: 3. Which vector is not equal to zero? a) ix (j×k) b) (ix j) × k c) (i × i) × j d) ix (ix j)

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Q: g(x) = 2x-3 at x = 3

A: Given g(x)=x2x-3 at x=3Subtitute x=3 in g(x)

Q: 9. The graph below shows the number of tuberculosis deaths in the United States from 1989 to 1998.…

A: Given,          The graph is shown below :

Q: 34. t-36 f(-) dx = -36, which of the following must Given that be true? A. 6-36f (p) dp = -36 B. −…

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Q: Two 30 Cars and A and 40 mi/hr Start moving toward time will B having average speed of respectively…

A: As per Bartleby answering guidelines if multiple questions are posted in a single picture then an…

Q: 4. Sketch a possible graph of a quadratic function which has two complex roots, a graph that opens…

A: Here, given that the quadratic function has y-intercept at (0,-2). Suppose it is a vertex of a…

Q: what is 3.07( 0.969)t  as a percentage rate

A: The solution is given below

Q: DO

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Q: A = (2, -3) and B = (-3,3) be points in R2, and let C = (4, −4, 4) and D = (2, −3, −1) be points in…

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Q: Problem 1: Using differentials, approximate the change, in terms of 7, in the total surface area of…

A: Use diffential concept

Q: Question 5 An n-th order differential equation usually contains n arbitrary constants. O True O…

A: To determine whether the following statement is True or False.An nth order differential equation…

Q: 7. Do Exercise 5 by another method. 8. Do Exercise 6 by another method.

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Q: Find an equation of the tangent line to the curve at the given point. y = 3x/ (x+1)^2,    (0, 0)

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Q: I Find the volume of the solid obtained by rotating the region enclosed by the graphs of u e u 1-e I…

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Q: Using differentials, approximate the change, in terms of , in the total surface area of a closed…

A: By using differentials, to approximate the change, in terms of π, in the total surface area of a…

Q: 4x²-x-2 dx (x+1)(y+1) 3. x2 dy ; y(1) = 1

A: To find out the solution of the differential equation.

Q: 30. A particle moves along the x-axis and its position in feet at any time t> 1 sec is described by…

A: Derivative of f(x) gives velocity

Q: Solve the following quadratic equations using elimination method: Question 8: x² + y² = 8 y = x + 4…

A: Given - x^2 + y^2 = 8               y = x + 4

Q: Solve (x − y + 3) dx − (x − y) dy = 0 ○ (x − y)² + 6x = C O (x - y)² - 4x +y = C O (x - y)² + 6x -…

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Q: Find the volume of the solid obtained by rotating the region in the first quadrant bounded by y =…

A: The region is bounded by the curves: y=x3, y=1 and y axis.We need to find the volume of the solid…

Q: . Use congruences to show that there is no solution to x³ + x² − x + 1 = 1522745.

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Q: Using differentials, approximate the change, in terms of , in the total surface area of a closed…

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Q: Use the Shell Method to find the volume of the solid obtained by rotating region above the graph of…

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Q: Find The Limit, If It Exists, Or Show That It Does Not Exist. In (x4 + 2y² 1) lim (x,y) → (0,1) 2x²…

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Q: 1. Using differentials, solve for the approximate change in the hypotenuse of a right triangle if…

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Q: The probability density function of the length of a hinge for fastening a door is f(x) = 1.25 for…

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Q: 13. The displacement (in meters) of a particle moving in a 1/1², straight line is given by the…

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Q: Find the area of the triangle with vertices: Q(-1,5,5), R(-2,8,7), S(-3,2,8).

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Q: +2x =

A: Here is the solution:

Q: Find the average rate of change of the function f(x)=√x from x₁ = 25 to x₂ = 49. The average rate of…

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Q: Let  Let g(x)= ∫x0 f(t)dt  (a) Evaluate g(x) for x

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Q: 3. SOIve the y' = e(2x - 4), y(5) = 0. Then, compute y(5.25). Remark. In this problem, we can easily…

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Q: Problem 2: a. Find the differential equation by eliminating the arbitrary constants of the family of…

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Q: Find the differential equation by eliminating the arbitrary constants of the family of curves y = C1…

A: Differentiation of trigonometric ratios which is used in given question.

Q: Determine whether the following function is a solution to the differential equation. y = ₁x + ₂x³ +…

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Q: Show that f is continuous on (-infinity, +infinity) f(x)= { 1- x2 , if x less than or equal to 1…

A: A function f(x) is said to be continuous at x=a if limx→a-f(x)=limx→a+f(x)=f(a).Also we know that a…

Q: Question Find the antiderivative of r' (t) = ({eºt (e²,ex, ) that satisfies the initial condition…

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Q: Determine the value of k such that y = 4x²_3e²r is a solution to x(1-x)y"+ (2x² − 1) y' + k (2x −…

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Q: Using differentials, solve for the approximate change in the hypotenuse of a right triangle if the…

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Q: 775 775 878 909 940 946 Find, to the nearest unit, the mean solar intensity of the above data. 562…

A: Topic:- mean  Definition:- The mean (average) of a data set is found by adding all numbers in the…

Q: x³y - yº lim (x,y)→(0,0) x² + y²

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Q: Determine the domain of the given function x-2 g(x) = 2/7/7/²2 √x

A: To determine the domain of the given function.gx=x-2x

Q: 2. g(x) = COSX

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Q: تروح lim (x,y)+(0,0) x2 + 22

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Q: raphs of the functions f and g are given. y 1 -f- 9 XV X

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Q: 29. limx→ In A. 00 B. باد 8 n (-/-) 3x² 7x³-10 3 C. D. 31/17 E. Does not exist

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Q: Use sigma notation to write the Maclaurin series for the function 131n(1 + 2) ΣΕ Κ

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