2s-4 Given: F (t) = L-1 Find: F (0) s2 (s+4) O-3/2 O 3/2 O 1

Q: 4. Draw the graph corresponding to the following adjacency matrix: O 2 1 0] 2 0 1 2 A = 1 1 1 1 0 2 ...

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Q: For the integral dr Vx+4 (a) Find the average value of f on [0, 5]. (b) Find a number z that satisfi...

A: Given: - The integral is, ∫051x+4dx (a) To find: - The average value of f on 0,5

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A: The solution is given below

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Q: エ→-3- g(x) f(x) lim エ-ト-3+ g(x) f(x) g(x) lim ||

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Q: Provide a geometric description of the following sets of points: a) x? + y? +z? 1

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Q: 9.) f(x) = (2x + 1)* %3D

A: The given function is: f(x)=(2x+1)4

Q: Evaluate f (2x + 1) dx by two methods: (a) Expand (2.x +.1)' by the binomial theorem; (b) let u = 2x...

A: Given that ∫2x+13dxa. using binomial expantion2x+13=c302x3+c312x21+c322x112+c3313=8x3+34x2+32x+1=8x3...

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Q: 4) Find the slope of the curve y = 3x + 1 at point P (1,2)

A: We need to find slope of curve at given point.

Q: Define a sequence {a,} as follows: Let a, = 1, and define (an)² + (2n + 3)an + (4n + 3) An+1 An + 2 ...

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Q: |A particle starts at the origin with initial velocity i – j+ 3k. Its acceleration is ã(t) = 6t ỉ + ...

A: We have to find velocity and postion vector.

Q: 4 -6 4/ -2 2 6.

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Q: Let u =j- 5k, v = - 10i + 2j – 2k, w= 5i - j+k. Which vectors, if any are (a) perpendicular? (b) Par...

A: The given vectors are:  

Q: 3. Evaluate the limit. You don’t need to state the properties. 2x2 — х — 3 lim x--1 x2 + 5x + 4

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Q: Find the limit  1) lim x--->2   ( x^2-x-6 ) / ( 4-x^2 ) 2) lim x--->0  sqrt(9+2x)-3 / 5x 3) limx-...

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Q: If lx + my = 1 touches the curve (ax)" + (by)" = 1, show that %3D )+) = 1.

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Q: * Q115-The term of function and mapping are the same True False * Q2\1-Can a function's domain and r...

A: 2  It can be possible  domain and range of a function is same  let f(x)=x  here always domain and ra...

Q: Which of the following equations CANNOT be solved using the method of undetermined coefficients? y "...

A: Firstly we define method of undetermined coefficient

Q: A particular country's exports of goods are increasing exponentially. The value of the exports, t ye...

A: Given query is to find the value of exports at indicated times.

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Q: Given f(x)=1/x find the difference quotient f(x+h)-f(x)/h

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Q: Find the most general antiderivative of the function f(x) = 72° – 6x³ + 3x?.

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Q: Q15-The term of function and mapping are the same True False Q2\1-Can a function's domain and range ...

A: We have to answer the following... Solution (1): A function is a special type of relation in which e...

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A: Position function of the particle is given by vector r(t)            Vector r(t) = 2√2*t i+e2t j + e...

Q: Use the Intermediate Value Theorem in the following exercise: Find an interval of the length 0.01 t...

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Q: (q.f (q)) (r, g(r)) (a, b) A (c,d) y = g(x) (s,0) (p,0) y f(x) Here, we have two curves: the red cur...

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Q: sin 8 = is in quadrant II, find other trigonometric functions? i and 3. Given ARA

A: Here, given that: sin θ=817 and θ is in II quadrant. Therefore, cos θ=-1-sin2θ          =-1-8172    ...

Q: (5tan2 elan 20 sec2 Bdß 1.

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Q: Let f be twice differentiable with f(0) = 6, ƒ(1) = 5, and f'(1) = 3. Evaluate the integral So x f"(...

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Q: 5+ I 2 3 4 5 а. Find the x value k at which the function has a removable discontinuity. b. What valu...

A: Given a graph of function f(x) needs to verify its continuity.

Q: Find the exact values of the six trigonometric functions of the angle e shown in the figure. sin(0) ...

A: The given triangle has lengths 8 and 6

Q: 2dt J (t - 3)V2 – 6t + 5

A: Given that: ∫2dt(t-3)t2-6t+5

Q: Find the average rate of change of g(x) 6x + 2 on the interval [-2, 3]. Question Help: D Video

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Q: The functions f and g are defined as ​f(x)=4x−1 and ​g(x)=−2x2.   ​a) Find the domain of​ f, g, f+​...

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Q: 3. sin²0 – cos²0 = 2 sin 0 – 1

A: sin2θ-cos2θ=2sin2θ-1

Q: Use Simpson's Rule with n = 4 to approximate the integral Vzdz. the result is = 13.45 True O False O

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Q: Solve the given differential equation by using an appropriate substitution. The DE is a Bernoulli eq...

A: We need to solve DE.

Q: if a 1 5+ 4- -2 -1 -- -5 -4 -3 4 -2 -3- -4 -5+

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Q: Problem 1 Let A and B be two finite sets, with |A| = m and |B = n. How many distinct functions (mapp...

A: f:A→B where |A|=m, |B|=n

Q: Consider the graph of f(x) given below and compute the limits. 15- 10- -5 -10 -15- 1. lim_ f(x) 2. l...

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Q: -6e' sin(at – 3) dt

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Q: If u, and u2 are orthogonal unit vectors, and v = au, + bu2, find v•uq. = 'n.a v•u,

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Q: Solve the given differential equation by using an appropriate substitution. The DE is homogeneous. (...

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Q: Test whether the equations generated by scalar multiplication are equivalent to the original equatio...

A: Solution is here

Q: The coordinates of point P are (2,3,7). What is the exact distance between point P and the z-axis?

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Q: 2) cos 135° 4) tan 930° 6) cot 810° 8) sec -240°

A: To find:- values of given trigonometry functions  2. cos(135°) 4. tan(930°) 6. cot(810°) 8. sec(-240...

Q: Let f(x) = x^2 −x −2. Using the Intermediate Value Theorem, explain why this function has (at least)...

A: The function is  f(x)=x2-x-2

Q: tan 0 4. Given sin 0 %3D 4 and > 0, find other trigonometric functions?

A: