Find the constants a and b such that the function is continuous on the entire real line. x< -2 7, ах + 6, -2 5

Q: Use a change of variables (Substitution Method) to evaluate the following definite integral. Show…

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Q: x2 dx (x+2)3 In |x + 2| + 4x+6 4x+6 (ar+2)a +C In |x + 2| – (x+2)= Option 1 Option 2 희im lx + 2 +…

A: Given problem:-

Q: (-1)"2"x" n=1

A: We will use ratio test to find radius of convergence.

Q: Is the solution region bounded or unbounded?

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Q: Evaluate F. dr. F(x, y) = xi + yj C: r(t) = (5t + 6)i + tj, 0sts1

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Q: Find the moment of inertia with respect to x-axis of the area bounded by the parabola y = 4x %3D and…

A: Moment of inertia with respect to x-axis , Mx= ∫A y2 dA.

Q: Consider the solid of revolution obtained by revolving the region between the curves y=0 and y=x^2…

A:

Q: Find the volume of the solid obtained by rotating the region bounded by y = 2° , y = 0, and z = 5,…

A: We have to find the volume of the solid.

Q: Given L f(x) dx = 16 and i g(x) dx = 8, Evaluate the following I [2f(x) - 3g(x)] dx

A: Given query is to find the value of the indicated integral.

Q: In the year 2000, the population of a small city was 47,000. The population grows at a rate of r(t)…

A: For the following problem,

Q: Area A = 1,427 Calculate the definite integral f(x) dx by referring to the Area B = 2,460 Area C =…

A: Here we will find the definite integral,

Q: Which of the following is undefined? cot() 131 A B sec(630") tan(-14n) D csc(-810")

A: Find which of the following is undefined.

Q: Use series to approximate | V1+ x*dx correct to two decimal places.

A: Let's find.

Q: 4. Perform the indicated multiplication of the two differential operators: (D –x)(x²D– 2x).

A:

Q: Diego knows that 82 64 and that 4° = 64. What other statements are true? O V64 = 8 O V64 = 4 O…

A: We can find the true  statements as below.

Q: Let A = 2. Find the eigenvalues of A 3.

A: Use eigen value concept

Q: nvestigate the convergence of the following series. H.V 2n+5n 2) Σ-1 3n %3D1 1LJ!

A: We have to find out convergence

Q: Evaluate lim (x)/

A: We can find the  limit as below.

Q: 4z² + 5dz 금(122+5) xo 4a? + 5 Part 2 of 2 ewrite the integrand in terms of u so that the integral…

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Q: Find series radius and interval of convergence, then identify the value of x for (-1)". (2n-2)!…

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Q: is an angle in standard position, tan(e) 0, then the terminal side of lies in which quadrant? A IV…

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Q: Find all the critical points of the function f(x, y) = x³ + y³ – 9x2 – 21x – y - 66 and label them…

A: Local Extremum values:              Consider the function f(x,y) .For critical points , fx(x,y)=0…

Q: n What is the closed-form expression for the series 2 (k-2)², k=1 37 A + 6 n³ -n²+ 13 B 6 6

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Q: Find the angle between the vectors (8, 6) and (-9, 7). Carry your intermediate computations to at…

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Q: dy 2 + y = 0, y(0) = -3 dt

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

Q: x2 - 8 R2.1 J x2 + 5x + 6 Answer with text and/or attachments

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Q: x² + 4x + 1 dx (x – 1)(x + 1)(x + 3) d* - Inlx- 1+Inlx+11- n|r+ 3| +C Inlx- 11+Inlx+1| +Inx + 31 +C…

A: Let's find.

Q: Use the midpoint rule with n = 6 to estimate the value of the integral (x3 +x)dx

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Q: Find an equation of the hyperbola having foci at (3, -11) and (3, 7) and vertices at (3, -4) and (3,…

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Q: 4r-10 (2r+2hlx-3-thb+20+C (2 + 2hk-3 +4hk+ 2) +C Option 1 Option 2 (भे+ 22 + 210l2 3/ 4Mly /2) 1 ८…

A:

Q: What is the period and domain of the basic cotangent function y= cot(x)? TT, {x €R|x=kT, kEZ} B 2 C)…

A: We can solve this as follows:

Q: Find the solution of y' = 2(2x-y) which passes through the point (0, -1) the answer should be y=2x-1

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Q: 1009 1010 R= E (2k) =2+4 +6+ ... +2018 and S= 2 (2k- 1) = 1+3+5+...+ 2019. What is the value of R-…

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Q: Approximate the point of intersection of the graphs of f and g. Then solve the equation f(x)=g(x)…

A: given function : f(x)=log3x and g(x)=2from figure it is clear that intersection of both curve is…

Q: Find the S(x* +) dx xe-1 А. 1x? + c e-1 4e xe+1 В. Ix2 + c e+1 2e xe+1 С. 1x3 + c e-1 Зе xe+1 1 D.…

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

Q: The answer above is NOT correct. Use calculus to find the volume of a cap of a sphere with height h…

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Q: What is the result of multiplication of complex numbers -V3+i and (cos +i sin )?

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Q: Find an equation of the plane. The plane through the origin and the points (2, -3, 5) and (5, 3, 1)

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Q: Verify Green's Theorem by evaluating both integrals aN dA Lv? dx + x² dy = ду ax for the given path.…

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Q: Find the global minimum of the function f(x)=2x^3+3x^2–12x+4 on the interval [-4,2].

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Q: Solve for x. log x = - 4 0.0001 -0.0001 1.386 -4

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Q: SHOW THAT THE DIFFERENTIAL EQUATION IS LINEAR EQUATION OF ORDER ONE 2. (y – 2)dx + (3x – y) dy =&

A: We can solve this problem as follows:

Q: Evaluate (2x – y) dx + (x + 3y) dy. C: x-axis from x = 0 to x = 4

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Q: Evaluate and simplify: 4sin(4)- csc(-) 2 A 1-2/7 B 1+2/7 -1-2/7 D -1+2/7

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Q: Solve for x in the following expression using the quadratic formula. 3x2 + 19x – 4.9 = 0 Use at…

A: We can solve this as follows:

Q: 1. Solve for x, if 0 < 0 < 2n. Write your answers in exact values only. 2 2cos" x + cos x- 1 0

A: Given: 2cos2x+cosx-1=0  and 0≤θ≤2πlet cosx=mthen 2cos2x+cosx-1=0        2m2+m-1=0We know that root…

Q: 2x x– 3)² A = 6, B = 2 A = 2, B = 6 A= 2, B=-6 A=-2, B -6 A= -2,B 6 None of the Above Other:

A:

Q: dx V25 – x

A: Given problem:-

Q: Find the generating function for this when n=2, f(2)=1. n=3, f(3) = 6. n=4, f(4)= 25. n=5,…

A: Given :n=2, f(2)=1. n=3, f(3) = 6. n=4, f(4)= 25. n=5, f(5) = 125. n=6 f(6) = 750To find : The…

Q: x2 dx (x+2)3 In |x + 2| + 4x+6 (*+2)a +C In |x + 2| – 4x+6 (x+2)a

A: To integrate.