5 4 3 2 1 -1 T/2 3T/2 -2 -3 -4 -5 The graph of the function f(x) : given above for the interval x E [0, 27] ONLY. = csc x is Determine the one-sided limit. Then indicate the equation of the vertical asymptote. Find lim f(x) = -5 This indicates the equation of a vertical asymptote is x = Find lim f(x) = x → ( 27) This indicates the equation of a vertical asymptote is x =

Q: 3. Suppose that the revenue in selling a tables is equal to 200x-0.25a2 dollars, and producing a…

A: topic - application of derivatives

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A: We have to find out

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A: Given query is to find the equation if the graph.

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A:

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A:

Q: 19. inside * = 5sin O and outside " =2+sin0

A:

Q: 4. Find lim (sin¬ V)cschr. r0+

A: The given limit,         limx→0+sin-1xcschx

Q: Find T(t) and N(t) at the given point. r(t) = 11 cos(t)i + 11 sin(t)j + tk; t= -11 /122 T(5) V122 0,…

A: Given: r(t)=11cos(t)i→+11sin(t)j→+tk→ r'(t)=d11cos(t)dti→+d11sin(t)dtj→+dtdtk→…

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

A: Solved below.

Q: The surface S i parametrized by equations x = u + v, y = 3u², z = u – v; The point P (2, 3, 0) lies…

A: Given that the surface S is parameterized by equations x=u+v, y=3u2,z=u-v; the point P(2,3,0) lies…

Q: Use Green's Theorem to evaluate the line integral (y - x)dx + (2x - y)dy for the given path. C: x =…

A:

Q: Using Euler's Method, approximate the initial value problem for various values of x given in the…

A:

Q: Refer to the graph below. Find lim f(x). 3. 2- 1+ -5 4-3 -2 -1 -1+ 3. 4 5 x -2+ -3+ Does not exist 4…

A:

Q: The graph of f'. 2+ 1- (2,0) -3 4 -3 ±1+ -2+ (-2,-3) (2,-3) 5. The graph of f', the derivative of f…

A: We have to find the value of f(5).

Q: Describe the graph of the equation. r = 10 cos ti + 8 sin tj – k O It is an ellipse in the z = – 1…

A: Given that       r = 10 cost i + 8 sint j - k

Q: Calculate the first eight terms of the sequence of partial sums correct to four decimal places. E…

A: We can solve as follows

Q: Evaluate

A:

Q: Suppose that f(z, y) = z² – zy + y² – 5z + 5y with z² + y² < 25. 1. Absolute minimum of f(x, y) is…

A: Solve the following

Q: Evaluate the integral (8x + 12y)dx + (9x – y)dy along the parabolic (8x +12y)dx + (9x – y)dy along…

A:

Q: If xy2 3x2y + C, then what is the value of C at (2,2)? %3D

A: Given query is to find the value of c.

Q: 1 2 3 1+3* Use substitution to find the Taylor series at x= 0 of the function ... 1 What is the…

A:

Q: Evaluate the line integral (2x + 4y)dx + (3x – 9y)dy along the curve C : æ = 2 cos t, y = 4 sin t (0…

A: We need to evaluate integral.

Q: The sum of digits of integer x is y . the sum of digits of y is z. find x if x+y+z = 60 step by…

A: Here we know that x,y,z are two-digit numbers since their sum is 60 and any two-digit number can be…

Q: •5 f(x)dx = 6 and | g(x)dx= 2 , evaluate |3|

A:

Q: О а. 1.56 J ОЬ. 3.25 J Ос. 1.94 J O d. 2.33 J

A:

Q: Let floo) = 0e 5 and gloo) = 2a19 Detemine Cgof) (x) 2079. %3D %3D

A: Topic:- function

Q: Let 7 (t) = < 5t? + 5, tª + 3t, In a. Determine the coordinates of the point on the curve traced out…

A:

Q: ) = x/x² + 36 ned on the interval – 4 < x < 5. ) is concave down on the interval x = to x = ) is…

A:

Q: Determine whether each of the following functions is (a) continuous (b) differentiable 3. f(x) = v2…

A: If function 'f' is differentiable at x=c the f'(c) is the slope of the tangent of the function at…

Q: Use left-to-right elimination to solve the system of equations. 3x + 4y - 5z = 8 4x + y- z = -1 x-3y…

A:

Q: Fod ble Jecond deriyalive of Hhe Aullowing funchon g lx) = Inca=43)

A: g(x)=ln(x2+3)

Q: Use the Comparison Test to determine whether the series is convergent or divergent. 00 ,7/8 n' n = 2…

A: The given series,    ∑n=2∞1n78-1

Q: Find V· (F x G), if F(x, y, z) = 10xi +j+7yk and G(x, y, z) = xi+ yj – zk. V · (F × G) =

A:

Q: Use Green's Theorem to evaluate the integral. Assume that the curve C is oriented counterclockwise.…

A: Explained below

Q: _4. What is the first derivative of f(x) = (x² – 4)(3x – 2)? а. 9х? - 4х — 12 b. (2х)(3) C. 6x d. (x…

A: Topic:- derivatives

Q: derivatives as functions of

A:

Q: 2) Center: (11, 16) Radius: 1 4) Center: (-4, 0) Radius: 7 6) Center: (-7, -12) Radius: 3 8) Center:…

A: The Equation of a circle : (x - h)2 + (y - k)2 = r2 Where, r = Radius of the circle (h,k) = Center…

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A:

Q: Find the vector v with the given magnitude and the same direction as u. Magnitude Direction ||v|| =…

A:

Q: Peaive marima and, minima, 4 any tar the funchno If there is not an answers write N/A Wde ms wefs as…

A:

Q: Find T(t) and N(t) at the given point. r(t) = 6 cos(t)i + 6 sin(t)j + tk; t= 2 6 0 , V37 1 T V37…

A: SEE EXPLANATION

Q: Find the integral of your answer in problems 2a and 2b. Note: My answer on 2a and 2b will be found…

A: Here we have to find the area.

Q: It can be shown that the polar curve r = a sin(0) +b cos(0), where ab + 0, is a circle. Find the…

A:

Q: 15. As x increases uniformly at the rate of 0.002 feet per second, at what rate is the expression (1…

A: We have given that                     ( 1+x )3= f(x)      ,  then we have to find out value of dfdt…

Q: Evaluate lim, (-5x + 5 – 5 - ) 12 O + O 5 O-5

A:

Q: /hat is the area of the region bounded by the graphs of æ = y³ – 2y and DA = (3x – x² )dx DA = (? –…

A: Topic:- application of integration

Q: 2. Write the given (total) area as an integral. a. The area above the x – axis and below y = 4 – x²…

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Q: Find the area of the region enclosed by the parametric equation x = t3 – 8t y = 6t2

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Q: Solve the given differential equation by undetermined coefficients. y'' − 12y' + 36y = 18x + 2…

A:

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…