Evaluate the double integral I ry dA where D is the triangular region with vertices (0,0), (5,0), (0, 5).

Q: 4 Using the e – 8 definition of limit, prove that lim x→3 3x 1 1 2

A: To prove the limit of given function using the epsilon delta definition of limit which states that…

Q: Use the Integral Test to determine whether the infinite series is convergent. Σ n2 n=19 (n3 + 6) ?…

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Q: The value C for the solution of the initial value problem f'(x) = x4 – 8x + 4, given that f(0) = 0.…

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Q: Use the position equation s = -16t2 + vot + So where s represents the height of an object (in feet),…

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Q: Draw the graph of f(x) = – 5" + 3 10+

A: Graph of 5x (a growth function)passes through (0, 1)whereas -5x is a reflection about x-axis.and…

Q: 11. The graph below represents the graph of y = csc x. -5 -10 -5 10 True False

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Q: -1 1

A: Given that cos(arcsin(-1))   we know that arcsin(-1) equal to π/2 or 3π/2

Q: Sketch fully by finding all the necessary information given f(x), f' (x) and f"(x) 8х-32 16-8x f(x)…

A: Solve the following

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Q: Evaluate: (12t3-9t2 + 7)dt

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Q: Find the most general antiderivative or indefinite integral. Use a capital letter C to ote an…

A: ∫ -2x1-x2dx

Q: 10. Find the average value of the function f (x) 1 = -x + Vx on the interval xe[0,8]. Graph on…

A: The average value of the function is given by;favg =1b-a ∫abf(x) dxTo plot the average function…

Q: Solve the following system of equations: X 2y + 3z = 1 - x + 2y – z = 13 3x + 2y – 5z = 3

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Q: cosx dx sin²x-5sinx-6

A: Find your answer below

Q: If f(x) dx = (2x – 14)12 + C, find f(x). %3D f(x) %3D

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Q: Given the information below, estimate the total distance travelled during these 6 seconds using a…

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Q: 13. Prove that the three points (-3, 2, 4), (6, 1, 2), and (-12, 3, 6) are collinear by using the…

A: To solve the following problem

Q: Sketch the graph of the following function. Describe how the graph can be obtained from the graph of…

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Q: Find the most general antiderivative or indefinite integral. Use a capital letter C to denote an…

A: To evaluate the given integral.

Q: Write an equation in slope intercept form for the line 5 and a y-intercept of 9. Then. with a slope…

A: We know that the equation of line in slope intercept form is y=mx+c where m is the slope and c is…

Q: Sketch fully by finding all the necessary information given f(x), f'(x) and f"(x) 16-8х 8х-32 f'(x)…

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Q: 3 dx x² +4x+29

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Q: Evaluate the following limit: 2x lim () 14x x00 14x+5 Enter -I if your answer is -o, enter I if your…

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Q: (6e² + 6z+4 cos z+2)dx %3D

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: A 60 cm piece of wire is used to create a circle and an equilateral triangle. How should the wire be…

A: Let the perimeter of equilateral triangle be P of side a.Let the circumference of circle be C with…

Q: Find the missing side length of AABC given the triangle below. Round to two decimal places. В 59° 10…

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Q: 30 cm of wire is cut into 2 pieces. One piece is bent into a square, and the other piece is bent…

A: To find out the length of the two pieces.

Q: Determine the maximum value of f (x) = 5x – e5x [T:3] on the interval [-1,1] %3D

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Q: Direction: Evaluate the following functions. Show the step by step process by using the limit laws.…

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: Find the degree 3 Taylor polynomial T3 (x) of function f(x) = (-7x + 46)³/2 %3D at a = 6. T3(x) =

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Q: Determine whether the series is absolutely convergent, conditionally convergent, or divergent. 4· 10…

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Q: f(x) = x² + 2\ – 100 I need to arrange the equation so that x is on one side and the rest of the…

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Q: The enclosed area between y= 2 x and y= 6/x is evaluated by

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Q: The integral 5x – y dA = 59 if R R={(x,y): - 3<x<- 1, 5<y<6}

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Q: Find the most general antiderivative or indefinite integral. Use a capital letter C to denote an…

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Q: 8. Which of the following is the solution to the equation sin? x+ 3sin x - 4 = 0 0° 90° + 360k 90°…

A: Given query is to find the solution of the function.

Q: Determine if the function is even, odd, or neither. Back up your answer algebraically in the second…

A: We can answer the question as below.

Q: (3e² + 5æª + 6 cos a + 2)dx : 3e? + x + 6 cos a + 2x + c 3e + a + 6 sin a + 2x + c et - x5 + cos z +…

A: Given problem:- ∫ (3ex+5x4+6cos(x) +2) dx

Q: 23. Using the points P, and P, of Exercise 19, find the point Q such that V(P,Þ.) = 3V(P,Q).

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: | (6e"+6x° +4 cos x + 2)dx = %3D 6e + x° + 4 cos x + 2x + c O e – x° + cos x + 2 + c 6 O e + x° 4…

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Q: Find the values of the trigonometric functions of 0 from the information given. 3 O in quadrant II…

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Q: Suppose that a company makes and sells x phones per week, and the corresponding revenue function is…

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Q: Problem 5. What is the correct form of the partial fraction decomposition for the following…

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Q: . Solve the following inequalities and write the solution in interval form i) 2|2x+7| +2 <24

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Q: Problem 6. The following series are geometric series. Determine whether each series converges or…

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Q: The value C for the solution of the initial value problem f'(x) = x* – 8x + 4, given that f(0) = 0.…

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Q: For the following population model (in billions):…

A: As we can see these three are different questions and do not depend on each other. According to the…

Q: In Exercises 5 through 14, let A = (-4, –2, 4), B = (2,7, –1),c= (6,-3,0), and D= (5, 4, -3). 5.…

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Q: Evaluate the Following limts 9-X VX-3

A: We can evaluate the limit as below.

Q: Evaluate: / (8t – 9t² + 7)dt

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