One version of the Fundamental Theorem of Calculus can be stated as: q [F(a)adua f(a)da = F(q) - F(p) P Describe clearly one of the assumptions needed for the Theorem written above to be true.

Q: Use the graph of the function f shown to estimate the indicated limits and the function value. a.…

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Q: Express the perimeter of an isosceles triangle with side lengths x, 5x, and 5x as a function of the…

A: Side length of triangle x,5x and 5x

Q: Hi what about the red graph?

A: In this question, we will draw the graph.

Q: In the figure, the equation of the solid parabola is y = x² - 7 and the equation of the dashed line…

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Q: x²e-3x dx

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Q: Solve the linear system by its augmented matrix. X₁ + 2x2 − X3 − 2x4 = 4 x1 + 3x2 + 2x3 - 4x4 = 6…

A: The given system of equations

Q: Simplify and express the answer in the form a + bi. 5i 1-5i

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

Q: Find a formula for the nth term of the sequence in terms of n. 15 5² 5³ 54 6'8' 10' 12' 14' -

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Q: Solve the following equation for x. (5X+5,5) =5 x=0 (Type an integer or a simplified fraction.)

A: given an equation

Q: 7+ 6 5 4 3 2 1 -7 -6 -5 -4 -3 -2 -1 -1 -2 -3 -4 -5 -6- -7+ Slope = m = 1 2 3 4 5 6 7 Find the slope…

A: The graph of a line is shown.We need to find two points on the graph.From graph we get and

Q: Question 20 Provide an appropriate response. Consider the function y . Can x be negative?

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Q: Determine the sum of the following series. (3)"-1 8n n=1

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Q: 5 Evaluate the expression (4 + 2i) (-2+ 4i) and write the result in the form a + bi. The real number…

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Q: Find the total area of the shaded regions. y=x-36-x 30 24 18 12 B 10 8 6 4 2 42 -18 24 30 x Q Q

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Q: A ball is thrown into the air by a baby alien on a planet in the system of Alpha Centauri with a…

A: Average velocity = Where s(t) is the position function.

Q: An airplane is flying in still air with an airspeed of 250 miles per hour. The plane is climbing at…

A: An airplane is flying in still air with an airspeed of 250 miles per hour. The plane is climbing at…

Q: Find the total differential. 5x + y 3z - 8y dw = W =

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Q: Select the statement that is false. ZCR O Zt CN Z CR* R¹ (Z<R

A: Z is set of interger which are 0,Z+ is the set of all positive integers 1, 2, 3, ........N is the…

Q: dx dt (B) Given a = 3.50 m/s and ß = 2.75 m. s² evaluate 3 sig figs. (A) Find dx dt at 2.00 seconds.…

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Q: Suppose f: R³. → R is a differentiable function which has an absolute maximum value M # 0 and an…

A: We need to find correct option.

Q: Find the limit. (If an answer does not exist, enter DNE.) (x + Ax)² - 2(x + Ax) + 2 − (x² − 2x + 2)…

A: To find

Q: 3.) Find the general equation of the circle given a radius of 4 units, tangent to the x-axis and…

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

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Q: The following integral may be evaluated by using integration by parts. Note: e 3 can be entered by…

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Q: A rectangle is to be inscribed in a semicircle of radius 5 cm as shown in the figure below. Express…

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Q: The figure above shows the graph of the differentiable function f for 1 ≤ x ≤ 11 and the secant line…

A: Instataneous rate of change is given by slope of tangent.and the average rate of change is given by…

Q: Let f(x,y,z)=x² √²+z² Compute f(2, -3,2) and f(7,8,-6). f(2,-3,2)= (Type an exact answer, using…

A: we given a function

Q: | d²y 1. dx² Order: Degree: + dy dx - 3y = 0 Dependent Var: Independent Var: Linear: ?

A: The order of a differential equation is defined to be that of the highest order derivative it…

Q: Consider the rectangular corral with two partitions shown. If the fencing for the boundary of the…

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Q: 3 B d The following integral may be evaluated by using integration by parts. Notes: • powers can be…

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Q: Find the following limit: lim x→3 x³ − 7x² + 17x − 15 x - 3 Answer:

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Q: C -6 -4 -2 احمد 1 I 4 10 9 -10 -9 -8 -7 -6 -5 -4 -3-2-10 8 6 4 32 1 -2 Use the graph to fill in the…

A: The given graph

Q: 18. Let P denote the path parametrized by F(t) = (1/2), 0 ≤ Compute ſp F·dF, where F (x, y, z) = (…

A: To compute

Q: x-9 +²+3x-10 }} A Y + B X-2 x-q (*+5)(x-2) X-9 = A (x-2) + B (x+5) AX-2 A+B x + S B (A + B) x +…

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Q: Compute the first four partial sums S₁, ..., S4 for the series having nth term an starting with n =…

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Q: C -6 -5 -3 O -10 -9 -8 -7 -6 -5 -4 -3 -2 -10 -1 -2 1 10 5 9 B 76 5 4 3 2 1 Use the graph to fill in…

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Q: A Beginning with the graph of y=sinx, use shifting and scaling transformations to sketch the graph…

A: In this question, we will draw the graph of the trigonometry functions.

Q: The graph below is the function f(x). -5 -4 -3 -2 -1 lim f(x) x 2+ lim f(x)= x→2 ƒ(2) 5 4 3 Find the…

A: given graph of function

Q: Identify the vertical asymptotes for f(x) = Select one: a. x = 9, x=-4x O b. x=-5 OC. x = 9 O d.…

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Q: Use the graph of the function f shown to estimate the following limits and the function value.…

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Q: For the following parts, do not round your answer at any point. For any  ?>0 , suppose that there…

A: given the fact that N&gt;0 and ε&gt;0we are given…

Q: dy Assume that x and y are both differentiable functions of t. Find the required values of dt (a)…

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Q: Set up an integral that represents the arc length of the function y = 3x4 + 2x from the point (-2,…

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Q: The total amount of consumer credit has been increasing steadily in recent years. The following…

A: The given data,YearConsumer…

Q: Find the derivative of the function. f(t) = arccsc(-3t²) f'(t) = - 2 √√9-1

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Q: B. A circle is tangent to the line 2x -y + 1 = 0 at the point P(2, 5), and the center is on the line…

A: The figure

Q: 14. Find a parametrization for the line segment in the plane going from (12, 42) to (7, 49).

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Q: Provide an appropriate response. = Graph the functions f(x) = x₁ and g(x) = Confirm your findings…

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Q: QUESTION 2 The graph below represents the distance-time relationship from Justin and Nicole as they…

A: To study the graph and answer accordingly.

Q: the

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