2. S 2z+8 dz (z+7)a

Q: .2 x dx 9 – 4x²

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Q: A stone is thrown vertically upwards, from the edge of a 5 m tall cliff with an initial velocity of…

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Q: 4 1 T/2 Зл/2 -1 -2 -3 -4 -5 The graph of the function f(x) = cot x is given above for the interval a…

A: From the graph of f(x)=cot x, we have to find its asymptotes

Q: Activity 1.5.2. A potato is placed in an oven, and the potato's temperature F (in de- grees…

A: Solution: Given data

Q: Find V. (V x F), if F(x, y, z) = 3e"i+ 7xe"j – 3ek. V.(V × F)

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Q: n 1) Use the Integral Test to determine whether the series is convergent or divergent. n² +1 n=1…

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Q: 5 4 3 1 T1/2 3T/2 -1 -2 -3 -4 -5 The graph of the function f(x) given above for the interval a E [0,…

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Q: What is the volume of the solid formed by revolving the region bounded by the graphs of x2 = 5y and…

A: To find the integral of volume of solid formed by revolving the given region.

Q: 2 4 Find an equation of the normal line to the curve 3x¯y' – x°cos(ny) + 4x + 2 = 0 at the point…

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Q: mal places as needed.)

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Q: ||r(t) × r"(t)|| Use the formula k(t) to find k(t). 3 r(t) = 11 cos(4t)i+ 11 sin(4t)j+ tk K(t) =

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Q: r In x 2

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Q: Find curl(2: i + 3x j + 6y k). curl(2: i + 3x j + 6y k) = ( )i + ( j + ( )k

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Q: 5. Which of the following is equivalent to (v2/2 – iv2/2) ? O -2 O 1 O -1/2 O -1 O 2 O 1/2

A: We have to find the equivalent of given complex number.

Q: Evaluate the triple iterated integral. xyz³ dx dy dz

A: ∫02∫02∫-14xyz3dxdydz=∫02∫02x2yz32x=-1x=4dydz…

Q: Find the derivative of the following equation x+3 x-4 (a-4)° 2x (x-4)² 7 (x-4) 2x-1 (x–4)°

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Q: A certain rumor spreads through a community at the rate = 3y(1+y) , where y is the portion of the…

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Q: By using variation of parameters, what is a possible value for u'1 for the differential equation y''…

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Q: Find V · (V × F), if F(x, y, z) = 2e"*i+4xe"j – 4c*k. V · (V × F) =

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Q: Evaluate -5x lim,→0 tan x O -5 O 1 O 5

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Q: Use the figures to evaluate the function if f(x) = sin x. (x,1) f(a + B)

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Q: Evaluate the iterated integral. /3 6. y cos(x) dy dx

A: I=∫0π3∫09y cos x dy dx =∫0π3cos(x) ∫09y dy dx  =∫0π3 cos(x) y2209 dx  =∫0π3 cos(x)812 dx

Q: Determine whether the improper integral diverges or converges. 0. 8x xe dx -o. converges O diverges…

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Q: What is the volume of the solid formed by revolving the region bounded by the graphs of x2 = 7y and…

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Q: Find the center and radius of the sphere that has (7, –6, 2) and (9, 12, –6) as endpoints of a…

A: The objective of the question is evaluate the center and radius of the circle

Q: Suppose that the number of employees in a new company is expected to grow, with the number of…

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Q: Find the derivative of the following equation: (2x – 1) (3a? + 2) - O 48x + 36x2 + 22x + 8 48x3…

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Q: 3. A balloon is released from the ground 100 meters from an observer. The balloon rises directly…

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Q: Suppose that in a memory experiment the rate of memorizing is given by M'(t) = – 0.004t? + 0.4t,…

A: Given,  M'(t)=-0.004t2+0.4t

Q: 5 4 3 1 T1/2 3π/2 -1 -2 -3 + -4 -5 The graph of the function f(x) = cot x is given above for the…

A: Solution is given below:

Q: If the function f(x) is continuous in the interval [2,8] and f(2)=-7 and f(8) = 9, %3D then which of…

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Q: Which type of discontinuity does the function S4- a², In x, x < 1 f(x) = 1<x < e has at x 1?

A: We need to choose correct option.

Q: ||r(t) × r"(t)|| ||r(t)||° Use the formula k(t) to find k(t). r(t) = t'i + tốj K(t) =

A: We can solve as follows

Q: 2. Find an equation of the plane containing the point P(0, –,÷) and the line determined by the two…

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Q: Use Green's Theorem to evaluate the line integral. y2 dx + xy dy C: boundary of the region lying…

A: Given problem:-

Q: Use substitution to find the Taylor series at x = 0 of the function In (1+3x*). What is the general…

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Q: II. Use the first fundamental theorem of calculus to find F'(x) .Write your final answer on the box.…

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Q: Find the domain of r(t) and the value of r(to). Edit NOTE: Round your annwer to two decimal places…

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Q: ||(t) × r"(t)|| ||r(t)||* Use the formula k(t) to find k(t). 3 r(t) = e10ti + etj

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Q: Suppose fis a function of x and that you know that f'(x) = 2x² – 15. Is f increasing, decreasing or…

A: Given problem:- Suppose f is a function of x and that you know that f'(x) = 2x2 - 15. Is f…

Q: 6) Find the linear approximation to R(t) = VE at t=32 Use the linear approximation to approximate…

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Q: Evaluate the integral / (10x + 15y)dx + (18x – y)dy along the paraboli - arc y = x² from (0,0) to…

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Q: Determine whether the improper integral diverges or converges. 0. -4x xe dx converges O diverges…

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Q: Find curl (3z i + 4x j + 7y k). curl(3z i + 4x j + 7y k) = i Di + ( Dj + ( i )k

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Q: Solve the given differential equation by undetermined coefficients. y'' + y = 5x sin(x) y(x) =

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Q: Do as indicated showing the details of your work. Show your complete se space provided and write…

A: We need to solve integral.

Q: Suppose the function f(x) is an odd function and lim, f(r) = 27. Use this information to evaluate…

A: For an odd function f(-x) = -f(x)

Q: Evaluate the line integral along the path C given by x = 4t, y = 8t, where 0 s t < 1. dy

A: Given: I=∫Cx+3y2dy And x=4t, y=8t  and 0≤t≤1   As we know that; The Power rule: ∫xndx=xn+1n+1+C

Q: Find curl (9z i+ 10xj+ 2y k). curl (9z i+ 10x j + 2y k) = ( i Di + ( i j+ ( i )k

A: We have to find the curl

Q: 0.09 ) 12t At the end of t years, the future value of an investment of $37,500 in an account that…

A: