Find the equation of the tangent line at the given point 1 ·y =- X - 3 ; (0, -३) 3*

Q: .. Find two vectors in opposite directions that are orthogonal to the vector u. (The answers are not...

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Q: Suppose that the total cost (in dollars) for a product is given by C(x) 1700 + 160 In(2x + 1) where ...

A: To find the marginal cost function.

Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from ...

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Q: 7T then 6. If 0 = sin(0) = cos(0) = COS %3D

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Q: The sum of a geometric series is as follows: S = 1.0 + 1.1 + 1.21 + 1.331 +... up to 50th term. Dete...

A: SUM OF GEOMETRIC SERIES

Q: ind f−1(x) for f(x)=9+12x.   Enter the exact answer. Enclose numerators and denominators in paren...

A: Given that fx=9+12xTo find : f-1xSolution :if we find inverse of function of y= fx then interchange ...

Q: 10. An electric scooter manufacturer estimates that the cost C (in dollars) of producing x scooters ...

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Q: The sequence that begins , -2, , -5, , .. -13 could be . an alternating sequence. a harmonic sequenc...

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Q: The future value that accrues when $500 is invested at 5%, compounded continuously, is S(t) = 500e0....

A: topic - functions and derivatives

Q: a = - i+ i+ w = i+

A: Given query is to find the the vector form the graph.  

Q: 4) Find 2 5(5-3)

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Q: f (x) %3D х* — Зх3 + 2x? +х — 1. 1.Know the function Find the Taylor polynomial for а = 2 and orde= ...

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Q: dy 3 1. a) Solve the differential equation dx if y = 3 when x = 1. xy

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Q: find the differential dy if y= sqrt(2x^5-3x

A: Given query is to find the differential of the expression.

Q: Mr Lim's monthly salary is $2500. Every month, he spends a certain amount of money and saves the res...

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Q: In the rectangular prism shown below, OA=a, OC =b and oD =c. Express each of the following vectors i...

A: We have to write following side of cube in vector form on the basis of given vector.

Q: (a) Find the critical points, if any, of the following function on the given interval. (b) Determine...

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Q: (a) P(blue, then red) (b) P(clear, then clear)

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Q: A particular computing company finds that its weekly profit, in dollars, from the production and sal...

A: Since the student has posted many sub-parts of the question and does not mention any specific part, ...

Q: 8 x2 = 4y and y %3D x2+4

A: We have to find the area bounded by the curves.

Q: 4) Confirm the results of the Fundamental Theorem of Linear Algebra for each of the matrices A and B...

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Q: Find the area of the triangle with vertices P(1,3, –4), Q(0,0,0) and R(3, 5, 1). NOTE: Enter the exa...

A: P(1,3,-4)Q(0,0,0)R(3,5,1)

Q: Use Theorem 7.1.1 to find £{f(t)}. (Write your answer as a function of s.) f(t) = sinh kt L{f(t)} %3...

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Q: Calculate the volume of the solid formed when the area shown below enclosed by the curve y = Vx, the...

A: To find the volume of the region bounded by the curve y=x, x=0, x=6:

Q: Prove that lim(4x2 – 25) = -9 x-2

A: First we use the formula a2-b2=(a-b)(a+b) then put the limit.

Q: Find the x-values for all points where f(x) = x4 - 50x? - 5 has a relative extrema.

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Q: If a person takes a prescribed dose of 10 milligrams of Valium, the amount of Valium in that person'...

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Q: х+3if x1 6. lim x→1 f(x) f(x)

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Q: 24 xp-

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Q: Find the derivative of g(x) =

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Q: B. Let ulr,e) = r"sin(ne). Find 4 2n-2 +u -nr Ure or

A: Given 

Q: Which of the following sets are the empty set? {heart, spade} N {joker, wild, reverse} {heart, spade...

A: topic - sets  intersection of sets is the set thta contains elements common to both sets. union of s...

Q: x + y = 5,y = 0,x = 0; about y =

A: Topic = Volume

Q: c. Given f(x)= /x+1 and g(x)= x² + 4x, find :)(x) and write the domain of )(x) in interval notation....

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Q: Angle A has a measure of 11 Gips. Since an angle making a full rotation measures 15 Gips and Angle ...

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Q: 1. log4x =-2 3. log3x + log;9 = 1 4. logzx + logz(x – 6) = 4 %3D 2. 4 + 3 log x = 10

A: Topic:- Algebra

Q: For the demand function q = D(p) = 357-p, find the following. a) The elasticity b) The elasticity at...

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Q: Let f be a function such that / rf (4x + 3) dx = 2. Write an equation that 2 an be inferred involvin...

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Q: For the series determine whether it converges or whether it diverges. As part of your solution, clea...

A: Given series ∑k=0∞1k3

Q: 9. An object moves with velocity given by v(t) = 2t3 such that s = 8 when t = 0. Find the equation o...

A: Given: vt=2t3 ; s0=8   We know that, The expression for the velocity; v=dstdt And The Power rule: ∫x...

Q: 8. A curve whose slope at any point is 6x² А. у %3D 2х3 — х? +х+6 - 2x + 1 passes through the point ...

A: We need to find equation of curve.

Q: Find the indefinite integral. (Use C for the constant of integration.) (4 cos x + 3 sin x) dx

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Q: Find the arc length function for the curve y = 2x3/2 starting at the point (1,2). %3D

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Q: Match each Power Series with it's centre. One of the series is not a Power Series, so match that ser...

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Q: B. Balloon B has been removed from service and the radius of the balloon is decreasing at a rate of ...

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Q: Three computers are chosen at random from 15 computers of which 5 are defective. Find the probabilit...

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Q: Determine the x- and y-coordinates of the centroid of the shaded area. Assume c = 9, a = 1.15, b = 2...

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Q: + 2y = 7x +4; y(0) = 3, y'(0) is y(x) =. %3D

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Q: e area between the two loops of the limacon r = 1+2 sin 0.

A: We are asked to find the area between the loops.

Q: n² + 2n + 3 E-1)" 5n4 +n+1 n=1

A: