Consider the graph of f(x) = 6x-. y + 3

Q: Evaluate: a² – y? =??? lim (x, y)-(3, –3) x+ y

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Q: f (x,y) =x³ cos y Given df (2, 1) дх of and (2, л). Evaluate ду

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Q: Suppose that a population follows a logistic growth model.  The population in the first year is 21.7...

A: Given:    Data is given

Q: A ladder 10 ft long leans against a building. The ladder forms an angle of 60° with the ground. (a) ...

A: Find your answer below 

Q: Find the volume of the solid obtained by rotating the region bounded by the given curves about the p...

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Q: Find f. f '''(x) = cos(x), f(0) = 9, f '(0) = 8, f ''(0) = 5

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Q: The polynomial of degree 4, P(x) has a root of multiplicity 2 at x=1 and roots of multiplicity 1 at ...

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Q: The function f  whose graph is given has a discontinuity at x=4 since  does not exist. Prove true o...

A: Topic:- function

Q: A division of a certain company manufactures a pager. The weekly fixed cost for the division is $20,...

A: Given  fixed cost = $20000 variable cost V(x) = 0.000001x3 − 0.03x2 + 70x Total cost  c(x) = fixed c...

Q: _t f'(x) = tª – t3 + t² + t – 1

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Q: Write the first five terms of the geometric sequence whose first term is 8, and whose common ratio i...

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Q: Q1) find dy/dx 1) F(x) = sin’2x tan x² x – 3 ) 2) F(x) = sin( x +4

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Q: Suppose that f ƒ (x) dx = 5. Find f(u) du dz а. f(t) dt d. [-f(x)] dx с.

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Q: Determine whether the sequence converges or diverges. If it converges, find the limit. (If the seque...

A: we will take logarithm on both side of the function and after solving the limit, take antilogarithm....

Q: 2. We want to integrate a function over the region bounded by x = y2 - 1 and x = /1- y2. What should...

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Q: Solve the D.E. (x +3y )dx- 2xy dy = 0

A: Find your answer below 

Q: (a) Express sin(2 cos-1x) in an algebraic form. Furthermore, sketch this function and find its domai...

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Q: Find the vector component of v = (4, – 1, 7) along b = (2, 3, –6) and the vector component of v orth...

A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions specify...

Q: Given f(x, y) = x³ – 2xy + 3y². Which of the following is true? fa = -æ + 6y + 3æy²; fy = 3x² – 2y +...

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Q: 1. Complete the table for the sine, cosine and tangent for the special angles in quadrant I. Keep yo...

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Q: Find the length of the curve y = In (1 – 2*) over the interval [-,].

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Q: Evaluate the integral. 1 (x² + 3)e¯× dx 0.

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Q: Find a differential equation whose general solution is y = cjet + cze-". = 0

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Q: (a). Write the distance from point P(, y) on the line y = 2x to the point (3, 3) as a function of c....

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Q: Find a formula for the general term a, of the sequence, assuming that the pattern of the first few t...

A: The given sequence,       14,-45,96,-167,258,......

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

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Q: Integration by Parts - Indefinite Integral Let u = f(z) and v = g(x) be functions with continuous de...

A: Integration

Q: a) logx5 32=1, then x=  b) 43x+4=18, then x=

A: Use  basic property of logarithmic function

Q: The curve -4x – 3y³ – 7x + 5y = 2 is shown in the graph below in blue. Use the graph below to draw l...

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Q: Can Mean – Value theorem applied for the following function - on the indicated closed int erval ? If...

A: The objective is to check that can we apply mean value theorem for the function on the indicated clo...

Q: Determine whether the Series is convergent diveryent.Write or the exact test that you Use. 1t2

A: ∑n=1∞(-1)n1+2nn

Q: (a) Find the general solution of the differential equation dy 2xy dx x² +1 3 (b) Find the particular...

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Q: 3. Let f(x) = 1+x + x² + x³ + xª + x5. (a) ) Pind T3(x), the Taylor polynomial of f at x = 0 with de...

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Q: 2. Solve the following differential equations. (a) y' = x2 - xy +1. (Hint: Consider the subsitution ...

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Q: Evaluate the integral. 3. (In(x))² x3 dx 1

A: I am attaching image so that you understand each and every step.

Q: 23) Find the SLOPE m = at the point (2, 0). [Hint: sin 0=0 and cos 0 =1] A) 2 of a tangent line to t...

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Q: Use Cramer's rule to solve the system. 4x- 2y - z= -6 3x - 5y - 5z = -6 = 2 2х- Зу ... Write the fra...

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Q: Find a differential equation whose general solution is y = ciet + cze-4t. %3D

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Q: Assume that the domain of f and f -1 is (-∞, ∞). Solve the equation for x using the given informatio...

A: We need to solve equation for x.

Q: Find the exact length of the curve. x = et − 9t,    y = 12et/2,    0 ≤ t ≤ 2

A: Note that:Arc length formula = ∫abdxdt2+dxdt2 dt                   where , a≤t≤b       Given,       ...

Q: Sketch the region bounded by the curves, and visually estimate the location of the centroid. y = ex...

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Q: A box is partially filled with liquid. The length of the box is 18 inches. The width of the box is 1...

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Q: Find

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Q: A particle travels along a horizontal line according to the function s(t) = -3t° + t + 3t – 2 where ...

A: By differentiating the s(t) we get the velocity function

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: Given f(x,y) = 3x sin(3xy). Find fxy(3,2). Give you answer correct to %3D two decimal places. Answer...

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Q: Find unit vectors that satisfy the stated conditions. NOTE: Enter the exact answers in terms of i,j ...

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Q: Decide which of the following properties apply to the function. (More than one property may apply to...

A: Given the function y = 2e-x It is an exponential function.

Q: sin2x 4. Find f'(x) and the equation of the tangent line to y = at x = 1 1-cosx

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Q: Set up, but do not evaluate, an integral for the length of the curve. y = x – 9 In(x), 1sxs 4 dx

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