a. A x, y =x b. As x2,y- C. As x, y=x²+ 3x →. d. As x , y=-3x

Q: What are some examples where we could not directly evaluate the limit at the point the variable is a...

A: The objective is to find some examples where we could not directly evaluate the limit at the point t...

Q: .... Find a set of parametric equations of the line with the given characteristics. (Enter your answ...

A: Given:      Point: ( 1 , 2 , 3 )    Parellel to xz - plane     Parellel to yz - plane

Q: Find the centroid of the shape with endpoints (0,0),(0,4),(-2,4).(-2,6),(2,6),(2,3),(4,3) and (4,0) ...

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Q: Express your answer in rectangular form both in EXACT value and approximate value. Round off approxi...

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Q: Find the volume of the solid obtained by rotating the region bounded by y =x' and x = y about the x-...

A: Given query is to find the volume of solid generated.

Q: Two constant values a and b are both greater than zero, determine the maximum value of the function ...

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Q: Evaluate the following a. 2/(1 + j4)

A: As per the guidelines  we can answer only one question.  If you want to get the answers of your othe...

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: Use Newton's method to approximate a root of the equation 3z + 2c + 1 0 as follows. Let 1 = 1 be the...

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Q: Approximate the critical numbers of the function shown in the graph. Determine whether the function ...

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Q: dy III. Find using implicit differentiation. dr sec (ry) = (cosh r)(tanh +) + 2 csc=' (tan(y+1))

A: Question III,Given,            sec3xy2=coshxtanhx+y+2csc-1tany+1To find : Find dydx using the implic...

Q: Use the shell method to set up and evaluate the integral that gives the volume of the solid generate...

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Q: Let a = ci + j and b = 4i + 3j. Find c so that the angle between a and b is %3D Round your answers t...

A: Given that a=ci+j  and b=4i+3jangle between them is π6Solution ;cosθ=a.bab=(ci+j)(4i+3j)c2+142+32cos...

Q: 15-20 1 Solve the initial-value problem. 15. x*y' + 2xy = In x, y(1) = 2

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question fo...

Q: Find the length of the curve y = In x from x = V3 to a = 2/2. o 1+홀 In를 None of the choices. Please ...

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Q: Write, but do not evaluate, an integral expression that gives the volume of the solid generated by r...

A: I am going to solve the given problem by using some simple calculus to get the required result of th...

Q: Analyze and sketch a graph of the function. Find any intercepts, relative extrema, points of inflect...

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Q: i) 4x + 256x²-8x-512 = 0 ii) (x+5)² -35 =29

A: i) 4x3+256x2-8x-512=0dividing by 4 O.B.Sx3+64x2-2x-128=0x2(x+64)-2(x+64)=0(x2-2)(x+64)=0(x2-22)(x+64...

Q: using the first derivative test, determine the relative extrema of the function f(x)= 1/3x3-2x2-5x-1...

A: Given query is to find the extrimas for the function.

Q: Consider the parallelepiped with adjacent edges u = 4i + 6j + k v = i+j+ 4k w = i+ 9j + 8k Find the ...

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Q: Determine the coordinate of the centroid bounded by curves of the polynomial functions y = #³ – z an...

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Q: 9. Let a be a positive value. State the integral test, and use this to determine whether ). -an e n=...

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Q: Use a calculator or program to compute the first 10 iterations of Newton's method for the given func...

A: Converges after 4th iteration 

Q: Given three points A(4, 3, 2), B(-2, 0, 5), and C(7, -2, 1). a. Specify the vector A extending from ...

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Q: a) Oppositely directed to v = : (15, –8) and half the length of v. w = (?, ?)

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Q: Assume that the rate at which a cup of coffee cools to room temperature is proportional to the diffe...

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

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Q: Find the cost function for the given marginal cost and fixed cost. Marginal Cost Fixed Cost (x = 0) ...

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Q: ....... Find the point of intersection of the line through (1, -3, 1) and (3, -12, 6), and the plane...

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Q: 9 (x) g' (x) g (x) g (x) 9' (4) -3 1 2 -4 2 16 Selected values of a function g and its first four de...

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Q: Determine the length of the arc on a circle a? + y? = 100 from a = 3 to x = 5 in the quadrant IV. O ...

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Q: Use the rules of differentiation to find the derivative of the function. h(x) = 6/x + 9Vã %3D h'(x) ...

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Q: Given the given cost function C(x)=4850+780x+1x2C(x)=4850+780x+1x2 and the demand function p(x)=2340...

A: Given problem:- Given the given cost function C(x)=4850+780x+x2 and the demand function p(x)=2340   ...

Q: 1. What are the information you need in order to graph a circle? How about a parabola? 2. How do you...

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Q: Therefore, sin () -- sin (a)- K please follow the eample and complete sin tam ( - ) - en ( - #*) - c...

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Q: ind the intervals where f(x)= x3-2x2+8 is increasing and the intervals where it is decreasing

A: Given query is to find the interval where f(x) is increasing and decreasing.

Q: sinh(3r) 8. Solve for f(21)(x) given that f(x) = 3

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Q: Being u, w positive values. Based on the information in the figure, select the couple that denotes, ...

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Q: (A v B) -> "C CvD

A: If A and B are statement variables , the disjunction of A and B is A v B , which is read " A or B "....

Q: Find the vector component of v = (4, – 1, 7) along b = (4, 8, –8) and the vector component of v orth...

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Q: S tan36x sec106x dx

A: I=∫tan36xsec106xdx=∫tan26xtan6xsec106xdx=∫sec26x-1tan6xsec106xdxLet sec6x=u       6tan6xsec6xdx=duI=...

Q: Compute the flux of the vector field = 2 i + 5j- 5k through the rectangular region shown below, assu...

A: We have to find flux. 

Q: let z- 5 dy By chain Ruie

A: Given z = √x dy/dx = (1/2√x)•(dy/dz) We have to find d2y/dx2 .  

Q: 4. Determine if g is differentiable at x = 0 if 2 cos-1 x, if -1<x < 0 g(x) = %3D if x 2 0. x + cos ...

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Q: 1. Using Logarithmic Differentiation, find dy given that dx -3 sec-(VT) y = 4*(log2 r)sech z"

A: This is a problem related to differentiation of the function. Based on the logarithm property we wil...

Q: Use the alternative form of the derivative to find the derivative at x = c, if it exists. (If an ans...

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Q: Given the equation y² + z² – æy – 3 = 0, determine y'. 2xy-y 22-2y 2-y z-2y

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Q: Find the indefinite integral. (Use C for the constant of integration.) sin3 50 v cos 50 de

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Q: Use the disk or the shell method to find the volume of the solid generated by revolving the region b...

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Q: A tour boat used for river excursions can travel 10 mph in calm water. The amount of time it takes t...

A: A tour boat used for river excursions can travel 10 mph in calm water. The amount of time it takes t...