If Z=a+2i is a complex number, the fundamental value of its amplitude 5TT/6.find the value of a and put Z in polar form

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Q: Use the given information to complete the solution of the partially solved Venn diagram. n(A) = 17,…

A: Given n(A)=17, n(B)=12, n(C)=32, n(S)=41. Let x is inside of A and out side of B and C. Let y is…

Q: à + 2b

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Q: 10. Evaluate -8 dx √1+x So f

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A: Given differential equation x2y''-7xy'+15y=0We have to verify that given function x3 and x5 form a…

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Q: Since the Mean Value Theorem is applicable, at least one point c exists in (0, 1) such that f'(c) =…

A: To fill in the blanks.Since the Mean Value Theorem is applicable, at least one point c exists in 0,…

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A: Use maximizing concept

Q: Find the curl for the vector field at the given point. F(x, y, z)= 6xyzi+6yj+6zk (6, 7, 6)

A: step 2 complete solution

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A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: I) Given a triangle with interior angles a, 3,7, and opposite sides with lengths a, b, c…

A: SOLUTION   GIVEN DATA- a=1,b=6-22,γ=135°,α=?Interior angles-α,β,γ and opposite side lengths a,b,c…

Q: Determine whether the sequence converges or diverges. If it converges, find the limit. 00 01 an - 52…

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Q: Consider the following function and closed interval. f(x)=x²/3-3, [-8, 8] Is f continuous on the…

A: We need to solve differentiation question.

Q: 18. Solve (x+1)dx x²(x-1) A. 2lnx+In(x-1)+c B. 2ln(x-1)-Inx-x-¹+c C. x-¹-2lnx+2ln(x-1)+c D.…

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Q: I) Evaluate the following expressions. 17 TT 9 1) sin-1 COS

A: Given, Sin^-¹(cos17π/9) Sin^-¹(sin( π/2 -17/9) π/2-17π/9 18π-34π/18 -16π/18 -8π/9

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Q: Find the indefinite integral. (Use C for the constant of integration.) tan? 10 sec 1. X X dx

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Q: 8. Estimate the value of x³dx by using the Trapezoidal Rule with n = 4. 8 19 22 36

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Q: Use Definition 7.1.1. DEFINITION 7.1.1 Laplace Transform Let f be a function defined for t≥ 0. Then…

A: I have stated the used formulas in the solution

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Q: Verify that has an Inverse function. Then use the function f and the given real number a to find…

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Q: The amount of pollution in a lake x years after the closing of a chemical plant is P(x) = 400/x tons…

A: Topic - Average value of function over interval

Q: Find a formula for the sum of n terms. Use the formula to find the limit as n → 00. lim n→∞ n i = 1…

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Q: Evaluate the following expressions. 2) cos [2Aresin (-) + Aretan (1)

A: cos2sin-1-12+tan-134

Q: Given f(x,y,z)=√(−6x+5y+2z), find fx(x,y,z) = fy(x,y,z) = fz(x,y,z)=

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Q: dx 7. √² +4 1. Integration Leading to Inverse Trigonometric Function/Additional Standard Formula II.…

A: We will use simple Integration rules to solve this question.

Q: Find the centroid of the region bounded by the given curves. x + y = 30, y = 0 1) y = x³, x+y= (x,…

A: Given y=x3 x+y=30 and y=0

Q: Fill in the blank. (Enter your answer in terms of t.) r 1 (s-7)6)

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Q: Find the area under the curve y = lines x = 1 and x = 5. 3x² + 4x + 1 bounded by the x-axis and the

A: Area under the curve y=3x2+4x+1 bounded by x-axis and x=1 to x=5.

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Q: Find the volume of the solid generated by revolving the shaded region about the x-axis. 0- 0 3x + 4y…

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Q: 2. Set up the triple integral to find the volume inside x² + y² = 9, above z = 0, and below x+z = 4.…

A: Solution is given below:

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A: Given; r(t)=6cos(t)i + 6sin(t)j.

Q: We the first three terms of the binomial series to approximate f(x) = 1 at x = 1/2. Then find f(¹/₂)…

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Q: Use substitution and partial fractions to find the indefinite integral. 1. Step 1 √x X - 49 dx Let u…

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Q: The cost of manufacturing a particular videotape is c(x) = 9,000 + 7x, where x is the number of…

A: Given data:- Cost of manufacturing a particular videotape, cx=9000+7x Average cost of per tape is…

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Q: Find the limit (if it exists). (If an answer does not exist, enter DNE.) 1. (²4. -9CK) lim + sin(4t)…

A: Given, limt→ 0e7ti+sin4t4tj+e-9tk

Q: Find the principal unit normal vector to the curve at the specified value of the parameter. r(t) =…

A: Given that : r(t) = cos(3t) i + 2sin(3t) j + k and t= π. Find the principal normal unit vector to…

Q: Provide your answer below: f'(8) = |

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Q: A 4-pound weight stretches a spring 2 feet. The weight is released from rest 15 inches above the…

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Q: Evaluate the integral using the following values. 1x30 ³x³ dx = 960, 3 f(x-15) a x xax = 24,ax = 4

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