V 3 (d) r(1/6 + At) - r(n/6) = 3 COS At sin At cos At + SV3 sin At it

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

A: Topic:- function and calculus

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Q: View Policies Show Attempt History Current Attempt in Progress Your answer is incorrect. Find T(t)…

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A: 1/infinity=0

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Q: Let 7(t) : - Find (don't include the +C) V

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Q: Find the area of the following region bounded by the graph of f(x) = (x - 5) and the x-axis between…

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Q: d Calculate ri(t) - r2(t)] and (ri(t) × r2(t)] first by differentiating d dt dt the product directly…

A: This is a problem related to vector's dot and cross product. Based on the rule of dit and cross…

Q: Find V x (V x F) if F(x, y, z) = 2xy j+ 6xyz k. %3D V × (V × F) =

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Q: 1. What is the derivative of f(x) = x2 – 8x + 12 when you illustrate using tangent? 2. What is the…

A: Note: As per our company guidelines we are supposed to answer the first three sub-parts of the…

Q: Find the limit. NOTE: Enter the answer using round brackets. t2 + 4 1 lim t→+∞ \ 3t2 +4' 2t (13, 0)

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Q: Which type of discontinuity does the function exhibit at x = 3? %3D (-x2 + 1, -1 sx<0 2х, f(x) =…

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Q: Evaluate F. dr. F(x, y) = 7xi + 8yj C: r(t) = ti + V4 - t²j, -2 sts 2

A: Use line integral concept

Q: I.TRUE or FALSE: Read carefully the statements below. Choose A if the statement is ALWAYS TRUE,…

A: ?As per our company guidelines we are supposed to answer ?️only first 3 sub-parts. Kindly repost…

Q: _13. If y = sin(4x – 5), then what is y'? а. у'3 сos (4x -5) b. у'- 4cos (4x — 5) c. y' = -cos (4x -…

A: Since the student has posted multiple questions and does not mention any specific question, so we…

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

A: Equation of a plane P containing a line of intersection of two planes P1,P2 is given by, P=P1+λP2

Q: Find div F and curl F if F(x, y, z) = xz°i+ 2y'x²j+ 2z²yk. div F= curl F=

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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: Show that the differential form in the integral below is exact. Then evaluate the integral. (-2,4, -…

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Q: Evaluate lim,-(-- 7 - 10 + 4) | 4x3 O +∞ O -7 O -10 8.

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Q: Find div F and curl F if F(x, y, z) = 7y°z®i – 5æ³z10j – 7xy°k. 3„10. div F= curl F=

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Q: A tank is being filled with a liquid. Z (1), given below, is the amount of liquid in liters in the…

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Q: dz and ду dz Find z = a° In (1+ cy) az dz ду ||

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Q: Evaluate x2 lim За - 10 - x→-2 x + 2

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

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Q: Which among the choices is NOT true about the continuity of f(x)? if x 1 X, メ, 2 f(x) = (2 – x), O…

A: Solution

Q: Evaluate 3+x lim,→4 (c-4)(x+2) O +∞ O 1 8.

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Q: Consider the following equations. f(y) %3D У(5 — у) g(y) = -y

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Q: ...... ... ... ...- Evaluate the iterated integral. 5. y cos(x) dy dx

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Q: Let S1 be the hemisphere with Cartesian equation z = 6 – /36 – x² – y? and S2 be the upper nappe of…

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

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Q: Find the first three nonzero terms in Maclaurin Series for each function

A: This is a problem related to series expansion. based on the general formula of maclaurin series we…

Q: Evaluate: Lī 3sin13 xda 512 1001 1024 1001 1024 1001 512 1001

A: Solved below.

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

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Q: Use the limit definition to find the derivative of f (x), this means no short cut rules, f(x) = x? –…

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Q: Preview Activity 1.5.1. One of the longest stretches of straight (and flat) road in North America…

A: Given problem:- Preview Activity 1.5.1. One of the longest stretches of straight (and flat) road in…

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Q: 5 8. Let f(x) =-x + 4 cos 3x. On the interval 0 < x< 2n, what is the average height of the function?…

A: A detailed solution is given below

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Q: sin (xexz +3y5+3x"-x 3

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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: A. Matching Type. Match the functions in Column A with their corresponding derivatives in Column B.…

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Q: Describe the graph of the equation. r = - 13 i+ (1 – 12 )j + t k O It is a parabola in the plane x =…

A: Given; parametric equation    r=-13i+(1-t^2)j+tk

Q: | (2x - y) dx + (x + 7y) dy. Evaluate C: x-axis from (0, 0) to (0, -7) and (0, -7) to (4, -7)

A: x-axis from 0,0 to 0,-7 indicates that interval of y is from 0 to -7 y-axis from 0,-7 to 4,-7…

Q: n² +1 2. Determine whether the series E 2n? +1 is convergent or divergent. If it's n=1 convergent,…

A: Given

Q: Find div F and curl F if F(x, y, z) = xz°i+ 2y°x²j+2z²yk. %3D div F= curl F=

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Q: Match the vector field with its graph. F(x, y) = yi -6+ 世 -5+

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Q: d²y of the following equation then simplify whenever possible. 3) Find and dx dx- x = 3em y = 4e-m

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Q: complex form and COS U+ i sin o) be the polar form Idition and subtraction between two complex…

A: Topic:- complex number algebra