Question Suppose that the piecewise function f is defined by v2 +4, -6z+v6+5, z>1 -2

Q: Determine whether the following function is continuous at a. Use the continuity checklist to justify…

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Q: test the convergence ad diivergene

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Q: The series 5 n4+ 8 In=17 n++1 is divergent. Select one: O True O False

A: Given query is to find statment is true or false.

Q: Find the first five terms of the Taylor series for the function f(x) = lnx) about the point a = 2.…

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Q: df df Calculate the first order partial derivatives and find and dy dx f (х, у) %3D (ху — 1)2

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Q: Sda = In|a| +C and S da = In|a°|+C. In|x2|+ C. Sæ" dx xn+1 +C, for any real number n. n+1 If f(x)…

A: 1.∫1xdx=lnx+c is true. We know from integration formula.  2. ∫1x2dx=∫x-2dx Solving the integration…

Q: If the differential equation ydx+xdy= 0 is being solved, what is the geometrical figure represented…

A: Differential equations

Q: Two posts, one 8 meters high and the other 12 meters high, stand 15 meters apart. They are to be…

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Q: Using decomposition into partial fractions, 4x2 + 2 -dx x(x² + 2) is equal to In|x (x? + 2)| + C…

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Q: An angle Θ is known to vary periodically with time, in such a way that its rate of change is…

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Q: A Moving to another question will save this response. buestion 9 Consider this expression: -1 sin…

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Q: Find the cofactor matrix of the following matrix 1 0 1 A = 4 -2 5 1

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Q: A test has multiple choice questions with 3 choices for each answer; only one answer is correct for…

A: Let A and B denote the events of guessing the correct option of question 1 and question 2…

Q: Complete the following steps for the given function, interval, and value of n. a. Sketch the graph…

A: Given, f(x)= 2x²+1 [1,6] n= 5

Q: Determine whether Rolle's Theorem can be applied to f on the closed interval [a, b]. (Select all…

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Q: Q2: Determine the type of the two lines (parallel, perpendicular, intersecting, north) and give the…

A: here figure 1  is pependicular line because given that both intersect at 90 degree    in figure 2 is…

Q: = e3 + C is the general solution to the differential equation: y' = 3y. Select one: O True O False

A: We need to choose correct option.

Q: What is the coefficient of the second term in a binomial that is raised to the sixth power? 5 15 20…

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Q: se the Intermediate Value Theorem to show that the following equation has a solution on the se a…

A: Topic:- function

Q: dx Vx+2

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Q: 6. If f(x)=3x' -+ 4 + 4x +1, find f(x) and f"(x).

A: Given query is to find the Indicated derivative.

Q: sin(x) 1- sin? (x) 3. Evaluate the integral O 2ln|1 - sin2(x)| + C O -csc(x) + C sec(x) + C O None…

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Q: 3 2 - VX dx x² – 4 1 2]

A: ∫12xx2-43dxLet u=x2-4.=∫-3012u3du=12·∫-301u3du=1232u23-30=12--123· 323·32=-3-123· 3234

Q: - f(æ) = Where is %3D discontinuous? x2 + 3x – 18 - o f(x) is continuous everwhere O 3 O-3 and 6 O-6…

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Q: + NR6. An exponential function can be written in the form y = a(c)* +kwhere the equation of the…

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Q: Find the angle in radians for the given right triangle. Round answers to the nearest hundredth. 10 7

A: Given angle to find is θThe side opposite to θ is called the Opp side and the side that is longest…

Q: I need help with g(18).

A: Here we have to find the value of g(18)

Q: 21 x² +4x+3 4. Find lim x→1x -5x+6

A: Given query is to find the limit of the expression.

Q: Nathan is required to pay George $9,500 today but he wishes to postpone the payment for 60 days.…

A: Given query is to find the amount to be paid.

Q: If log, (5x + 6) = 5, then x = You may enter the exact value or round to 4 decimal places. > Next…

A: We will solve for x.

Q: Question 2 (. Consider the function f(x) = %3D a2+1 (a) Find the intercepts of the graph of f (if…

A: As per guidelines, I can answer maximum three subparts of a question. Since there are multiple…

Q: Q2: Determine the type of the two lines (parallel, perpendicular, intersecting, north) and give the…

A: 1  pependicular line because given that both intersect at 90 degree  2 parallel line because both…

Q: Evaluate the difference quotient fla+ h) - fla) for the function f(x) = 6x. 1

A: Given  f(x) = 6x  We need to find the difference quotient  f(a+h) -f(a)h…

Q: 4. State and prove the law of sines in triangles. 5. Prove lim,0 V2r + %3D 6. Figure out the…

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Q: Evaluate the integral x(x® –4) dx 1. O 1 10 (xº – 4)" +C 50 O 1 +C 60 10 +C 10 x° ( x7 -4x +C 6 7

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Q: Problem #7: A rectangular garden is fenced on three sides, and the house forms the fourth side of…

A: We need to find dimension of the garden.

Q: A piecewise function is given. Use the properties of limits to find the indica fix) if x 3 5. if x-3…

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Q: Find an equation of the tangent plane to the surface z = 24 3z+4y at the point (4,3, 1).

A: Use equation of tangent plane

Q: - 12i + 4j+ 6k| Select one: О а. 14 О ъ. 20 О с. 16 O d. 18

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Q: A population of bacteria is growing according to the equation P(t) = 2000e0.05t. Estimate when the…

A: Given query is to find the Indicated time.

Q: Using decomposition into partial fractions, 4x2 + 2 dx x(x2 + 2) is equal to In/x (x² + 2)| + C…

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Q: degrees

A: We will find the degree of freedom.

Q: b. In the interval (0,5), f is not differentiable at x = (Use a comma to separate answers as…

A: Function is not continuous at those point where the graph of the function has missing points in…

Q: Su(u² + 3) du

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Q: Question 1 ( (a) Use the Second Derivative Test to find the local extreme values of the function…

A: As per guidelines, I can answer only one question. Since you have asked for multiple, so I did first…

Q: Express the limit as a definite integral on the given interval. [4(x;")3 – 4x;1Ax, [2, 7] lim i = 1…

A: Solve the following

Q: (9) Verify the following (a) cos e + sin 0 tan e = sec e %3D

A: As per guidelines we can answer only one question at a time, so if you need more answer kindly…

Q: 2. Find the average value of the function x2 In(x) for 1 5x<3 Show your work in evaluating any…

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Q: Question 17 Write the vector v in terms of i and j whose magnitude Iv and direction angle 0 are…

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Q: Find the position vector for a particle with acceleration, initial velocity, and initial position…

A: We have to find r(t)