V1+x3 dx [6] S (7) (ax2a (x2a+1)*dx x-2 ах2а (7] S

Q: 2. Given that r(t) = 2 sin ti + 2 cos tj+ tan tk. Find the unit tangent vector T(t) at the point wit...

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Q: tan 361° – tan 31° 1+ tan 361° tan 31° Find the exact value of V3 O- V3 O. 3. O-V3 V3 01 О-1

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Q: get

A: We will find the rate of change of value. 

Q: '2 x(2-х x(2-x)99dx : - = xp66

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Q: Please answer. Numbers, holes, and shaded circles should be clearly seen. For each specified discon...

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Q: Find the Maclaurin polynomials of orders n = 0, 1, 2, 3, and 4 and then find the nth Maclaurin polyn...

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Q: Find the Taylor polynomials of orders n = 0,1,2,3, and 4 about x = x0, and then find the nth Taylor ...

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Q: dx Using trig sub, find - By the rules, Vu2 + a² x/(x³)²+1 can be used where u=a tan0. What should b...

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Q: - 1. der the equation In ay Ehow that (r, y) = (1,1) is a solution to this equation. dy Find dz (my)...

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Q: as, consider the different

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Q: Problems: 1. Engineers have observed that when transferring a message I (an input signal) through a ...

A: All parts of the problem are solved below in detail.

Q: A dinghy is pulled toward a dock by a rope from the bow through a ring on the dock 8 ft above the bo...

A: Note: Since you have asked part b, we will solve only part b. 

Q: If a curve f(x) has = (y – 1) (2+ x) and passes through the point (-1,2), then what is dx the equati...

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Q: Determine (with proof) if the following series is converging absolutely, converge conditionally or d...

A: This question is related to behavior of infinite series, we will solve it using Ratio Test. 

Q: Find the position function s(t) for the given acceleration function and conditions: a(t) = −2t+7, s(...

A: The acceleration function,a(t)=-2t+7, s(1)=8, v(2)=-3

Q: A dinghy is pulled toward a dock by a rope from the bow through a ring on the dock 8 ft above the bo...

A: Given: A dingly is pulled toward a dack by a rope from the bow through a ring on the deck 8 it above...

Q: -x' + 2 Find the slope of the secant line between x = -3 and x = 3 for the function f(x) = (Enter yo...

A: Given that a function f(x)= (-x3+2)/(2x-2). And we find secant slope of line between x=-3 and x=3 fo...

Q: A trough is 40 ft long and has semicircular ends, with the flat side facing up. The semicircles have...

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Q: The deviation of each observation (y) from the mean of the response variable is negative for every p...

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Q: 3) Show f(x) = 5 is 0(x). Justify for an x> k. Give the C and k values. de stait E dinor uelta 4) Sh...

A: We say f(x) is O(g(x)) if there are constants C and k such that f(x)≤Cg(x) whenever x>k.

Q: 12. Let F (x, y) : that = esin x+cosy (cos x,– sin y) and C = {(x, y): x² + y² 0. Show [ F- dR = 0 ...

A: Here we will use the Stroke's Theorem to prove the result.

Q: 1. Find a linear differential operator (of lowest order) that annihilates the given function: flr) -...

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Q: Consider the following equation. 4x + 3y = 14 Step 2 of 2: Find the equation of the line which passe...

A: Given query is to find equation in of the indicated line.

Q: 2. Viola drives 170 meters up a hill that makes an angle of 6° with the horizontal. To the nearest t...

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Q: Find lim x→∞ h(x), if it exists. f(x) = 9x2 + 2x + 7   (a)     h(x) =  f(x) x lim x→∞ h(x) =

A: We are asked to find the limit of the function.

Q: 8xdx 1 — 4еx?

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Q: Solve the exact differential equation. If the given is not exact, determine the integrating factor t...

A: We have to find complete solution of differenrial equation

Q: Question 1 Consider the function (x²y² – y³ x2 + y2 if (x, y) # (0,0) f(x, y) = %3D 0, if (x, y) = (...

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Q: f(x) = -9.1688 × 10-6x³ + 2.7961 × 10-3x² – 2.8487 × 10-lx + 9.6778, Find the derivative at x=1.8 us...

A: f(x)= -9.1688×10-6 x3+2.7961×10-3 x2 - 2.8487×10-1 x +9.6778 X = 1.8 f(X) = f(1.8) = 9.174039892 h =...

Q: Please answer the question below: 1.) Explain why the integral below is an improper integral and wha...

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Q: Differentiate the following inverse trigonometric functions : 1) y =-2 sin-1x 2) s (t) = - cos-1 t

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Q: Determine the standard form of equation of a hyperbola with vertices at (2,3), (2, – 3) and passing ...

A: Given problem:- Determine the standard form of equation of a hyperbola with vertices at (2,3), (2, -...

Q: -n ) Σe n=1 1 d) Σ+ 3 п n=1 8

A: C) Given that ∑n=1∞e-n By the integral test, ∫1∞e-x dx=limt→∞∫1te-x dx                              ...

Q: Convert the angle 20° to radians. 18 O 97 10 9 1877 none of the above Submit Question O O

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Q: 5 can

A: We will find the time period. 

Q: A tank in the shape of an inverted right circular cone is full of water. The water weighs 62.4 pound...

A: Work done on an object is defined by,         W=F.S, Where F is the force exerted on the object and...

Q: Find the area in the first quadrant that is inside the circle r = 4 sin 0 and outside the lemniscate...

A: We need to find area.   NOTE - As per our guidelines we can solve one question so please upload othe...

Q: [1] S dx x+Vx

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Q: The exponential growth model of a population in a certain city is A= 20e0.05t where A is the size of...

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

Q: 12. How many positive integers less than 1000 are divisible by either 13 or 17? a) 134 b) 130 c) 76 ...

A: First check the divisibility for 13 then 17 then common in both. 

Q: +2 7. (i) Show that A(c) !! (-2)* (ii) Given the previous part, find a closed form for >

A: Find your answer below 

Q: INTEGRAL Evaluate the following: S(a- S (a – x)-³dx 3.

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Q: Evaluate the following integrals. 1. sec-a dæ cos Va dx Væ csc /æ 2. x2 dx - 3.

A: Integration by parts

Q: Find an arc length parameterization of the given two-dimensional curve and give the corresponding ve...

A: Given problem:- Find an arc length parameterization of the given two-dimensional curve and give the ...

Q: x y e**y + y² e* v´ +1) dæ + (a? e* v + 2 x y e* v° – 2 y) dy = 0

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Q: Find the equations of all tangent lines to the graph of y=x -7 x+ 49 that pass through the origin (0...

A: Equation does not passing through origin.  Hence there are no tangent line whose passing through ori...

Q: 4. Given that r(t) = cos ti + sin tj + In cos tk Find the curvature k and vec- tors T, N, B at the g...

A: Find curvature at t=1

Q: 1 Evaluate each of the following limits, then identify any vertical asymptotes of the function f(x) ...

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Q: 2. Find (a) the gradient of f at P and (b) the rate of change of the function value in the direction...

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Q: *Introduction to Derivatives (x²+2x-3 Using the 3 conditions, show that f(x) = 4 if x#1 is both cont...

A: Differential function is always contious bt Converse is not true