Correct Consider the following functions. f(x) = x and g(x) = |x| Step 3 of 4: Find (fg)(-2). Answer How to enter your answer (opens in new window) fg)(-2) = ||

Q: Evaluate [sec^2 (-1-0.1i)][tan(12-36i)]. Express your answer in rectangular form in 4 decimal places

A: The given expression is sec2-1-0.1itan12-36i. We have to find the rectangular form.  

Q: Calculate the partial derivative using implicit differentiation of x'w + w + wz? + 3yz = 0. (Use sym...

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Q: evaluate the given function

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Q: 1. Differentiate by using product rule. You do not need to simplify. 9. y = (5x* – 8x +)(2x6 – 5) x3

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Q: 1 (iv) If f(t) = e2ºH(t), its Fourier transform is F(@) = -2+iw

A: In this question we have to find whether it is true or false.

Q: Identify the most appropriate differentiation rules to be used in finding the derivative of the foll...

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Q: Find the nth Taylor polynomial for the function, centered at c. f(x) : 1 n = 4, c = 5 Pa(x) = %3D

A: A Taylor series is given by          f(x) = ∑k=0∞ fk(c)k!x-ck = f(c) + f'(c)1!(x-c) + f''(c)2!(x-c)2...

Q: The bacteria in a culture can be assumed to multiply at a rate that at any given moment is proportio...

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Q: Evaluate 4dx (5x – 3) O 4/5 In(5x-3)+c O 5/4 In(5x-3)+c 5 In(5x-3)+c O 4 In(5x-3)+C

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Q: 1 – x2 + V1 – x2 In|(sqrt(1-x^2))-1|+c -In|(sqrt(1-x^2 ))+1|+c -In|(sqrt(1-x^2))-1|+c In|(sqrt(1-x^2...

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Q: The temperature is T degrees at any point (x, y, z) in three-dimensional space and T(x,y, z) = 1/(x²...

A: Given

Q: 2 Estimate the minimum number of subintervals to approximate the value of I7x +4 dx with an error of...

A: We have to find minimum no. of Subintervals by given asking method. 

Q: 2x – x° dx (x – 1)° (x² + 1) 8.

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Q: 1 Evaluate e" cos 2z z dz COS 4 32/65 e^(2z) cos(z/4) - 4/65 e(^2z) sin(z/4) + c O 32/65 er(2z) sin(...

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

Q: Suppose that $8000 is placed in an account that pays 7% interest compounded each year. Assume that n...

A: This question is based on Compound interest formula.

Q: Let a, = e8/n (a) Does the sequence {a,} converge or diverge? If it converges, find its limit. If it...

A: Given that an=e8n. A sequence an is said to be convergent if it has a limit when n tends to infinity...

Q: 1 and g(v) = Vv+ 5, find (f o g)(v) and (g o f)(v). v2 + 1 If f(v) =

A: The given functions are  f(v)=1v2+1  &  g(v)=v+5

Q: 3 Consider the following function f(x,y) = +y° + 2xy - 6x- 3y + 4 3 3 3, 2 The critical points are A...

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Q: 5-4x2 dx 3+ 2x

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Q: (c) Evaluate [z°dz where C is a circular arc of radius 1 from z = 1 to z = -i. Draw path C in an Arg...

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Q: use the Monotone Convergence Theorem to show the sequence In! converges and find its limit.

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Q: Evaluate the integral given below. Check your answer by differentiating. NOTE: Enter the exact answe...

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Q: 4x2 – 4x + 3 dx J (2x – 1)(4x² + 1)

A: Given problem:-

Q: 2. SOLVE THE GIVEN SYSTEM OF LINEAR EQUATIONS BY GAUSS-JORDAN METHOD. 3a + 4b + 3c + 5d = 23 2a + 3b...

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Q: i da

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Q: Suppose that R is the finite region bounded by f(x) = Va and g(x) 2 %3D Find the exact value of the ...

A: Let's find. 

Q: 2. The points P(-3,1) and Q(-1,r) in the second quadrant have a distance of 2/5. Suppose P and Q are...

A: The solution of the problem is given in the next steps.

Q: Pendulum Problem Calculate the speed of the pendulum with respect to the x axis. Show solution using...

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Q: 4. Te- 105 has a half life of 203.9 hours. If there are 1054 g of Te - 105 initially, how long will ...

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Q: X2 X1 b) x, 2 x, ; - x, + 2.x, 2 2 a) x, 2 2x,; - x, +2.x, <2 c) x, Sx,; -x, +2x, 2 2 d) x, <x,; - x...

A: Consider the figure given below :  

Q: ACTIVITY 3: Think More! 2. Find an equation of the line that is tangent to f(x) = x and parallel to ...

A: topic - equation of tangent line

Q: dy - (1 +x)y xy %3D dx

A: You have asked multiple questions and not mentioned  which question answer you need . According to b...

Q: Initial value Problem : Find the particular solution given the initial values in explicit form

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Q: 2x – x3 - 1. Evaluate dx. J (x – 1)²(x² + 1) - 2. Use the previous item to determine if the improper...

A: We have to solve integration

Q: Use sigma notation to write the Maclaurin series for the function 7 In(1 + x) OW

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Q: Consider the following functions. f(-3) = 14 and g(-3) = –11 Step 1 of 4: Find (f + g)(-3).

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Q: 3-2s 2. F(s) = %3D s2 +4s+8

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Q: Evaluate the following limits. + Vw)(2 – w² + 3w*) 1. lim (1

A: Since you have asked multiple questions in a single request we would be answering only the first que...

Q: 3. A woman in a hot air balloon drops her GoPro Hero 10 when the balloon is 175 ft above the ground ...

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Q: Hw. Find dw and dw for the following functions

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Q: 4. Find (a) the gradient of f at P and (b) the rate of change of the function value in the direction...

A: This question is based on gradient of function.

Q: 7. Which of the following is the potential function for F = (2ху + 1,х2 + 2yz, y? — 2)? а. Ф(х, у, 2...

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Q: Determine the equivalent when (8+8i) is raised to 1-i. Express your answer in a rectangular form in ...

A: We have to find 8+8i1-i=?   The magnitude of 8+8i is = r=82+82=128=82 The argument of 8+8i is = θ=ta...

Q: A certain kind of a ceramic tile has the form of a 4 × 4 board. Each of the 16 squares is colored wh...

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Q: What is lim,-3 f(x) а. b. lim,-2 f(x) c. lim0 f(x)

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Q: Calculate the divergence of the vector field F (x, y, z) = –10 sin(2xy)i – cos (x' y)j. (Give an exa...

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Q: Find the area of the region that lies under the graph off over the given interval. Solve using LIMIT...

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Q: The sec?ytanydy 4 + tan²y is equal to In(4 + tan?y) + C A. 4 In(4 + sec?y) + C B.- 2 In(4 + tan?y) +...

A: LetI=∫sec2ytany4+tan2ydySubstitute , u=4+tan2yDifferentiate on both sidedu=ddx(4)+ddytan2ydu=0+ddyta...

Q: Consider the region R bounded by the line = 42- 8x and the parabola y = 27 – x². %3D To find the vol...

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Q: ACTIVITY 3: Think More! 2. Find an equation of the line that is tangent to f(x) = x³ and parallel to...

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