lim2

Q: Find the area bounded by x = y²- 2y and x =4 - y

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Q: Due 4/8/22: Sketch the graph of a function which satisfies ALL of the following prop- erties: • /…

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Q: 1. f(x) = Find a). domain of f, b). f'(x) and the critical numbers, c). the absolute maximum and…

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Q: nd the implicit differentiation by using Total Derivatives a unction, x³ cos(2y) – 3x4 + 2e3y

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Q: 5. When company prices its seminar at $400 per person then 1,000 will attend the seminar. For each…

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Q: 11 Find the absolute extrema if they exist, as well as all values of x where they occur, for the…

A: topic - application of derivatives

Q: If x =0.51 and y = 0.1, then value of C in the antiderivative of F(x) = xsin-(x) is V1- x2 Add your…

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Q: A cylindrical can is to be made to hold 1 L of oil. Find the dimensions (in cms) that will minimize…

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Q: 6. Find the interval of convergence for the series E - (x+4)" n-2" n=1

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Q: Find the critical numbers of the function. (Enter your answers as a comma-separated list.) h(x) =…

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Q: Let P(x) = 7x² + 6. Estimate the slope of the tangent line of this function at the point x = 3.…

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Q: Consider the following. u = -6i – 2j – 4k, v = 2j + 2k %3D (a) Find the projection ofu onto v. (b)…

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Q: Evaluate: /sin(Vx)dx A 2/x sin(Vx) +2cos(/x)+ C B 2sin(Vx)+2/xcos(x)+ C None of the given Choices O…

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Q: 12. 2y" + 2y' + y = 0

A: We have to find solution

Q: xlny + ylnx = 1 x In y + y / = - y ( y ln x + x O a. b. x2 In x - y = y ln x – x In y y² In y – x d.…

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Q: Match the integral expression on the left to an equal expression on the right. Prompts Submitted…

A: 1. =∫2sin(3x) sin(4x) 2 dx=∫12-cos3x+4x+cos(3x-4x) dx=∫12-cos7x+cosx dx=∫12[cos(x)-cos(7x)] dx

Q: (Use symbolic notation and fractions where needed. Enter DNE if the limit does not exist. Use the o…

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Q: Find a possible point of inflection of the curve y x +3x2 + 6x

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Q: y(x) =x' (2x – r²)

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Q: Find the angle 0 between the vectors in radians and in degrees. 0()i+ sin(); 3TT i + sin i, v = coS…

A: To find out the angle between vectors.

Q: y(x) = x³(2x – x²)

A: given y(x)=x23(2x-x2)y(x)=x232x-x23x2       =2x23+1-x23+2       =2x53-x83

Q: Match the integral expression on the left to an equal expression on the right. Prompts Submitted…

A: Topic = Integration

Q: 2л E. Given v of magnitude 200 and direction , and w of magnitude 150 and direction 3 find v+w. 6

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Q: Use the first principles definition of the derivative to find f'(x) where f(x)=3x2 - x

A: This question can be solved by applying the concept of limit which is used to define the first…

Q: . Evaluate the limit of a function using the concept of Special Limits. et-1 t2-3t+5 + t2-1 1. lim t

A: Given that a limit problem and we solve this problem by using general property of limit.     Here i…

Q: 4. Determine whether each of the following series is convergent. 2 2 3.4 3.6 24 (1) 3 + +

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Q: If f(x)=e* and g(x) = In x which of the following statements is false. 1) The range of f(x) is y > 0…

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Q: n(-5)" converges or diverges. n! Use the ratio test to determine whether n=16 (a) Find the ratio of…

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Q: In what way derivative useful to you?

A: Derivatives are used in a variety of subjects, including science, engineering, physics, and others,…

Q: Let y = 5/T. Find the change in y, Ay when a = 5 and Ax 0.1 Find the differential dy when I 5 and dæ…

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Q: 10x Find a power series for f(x) = |x| an. (x² + 1)² n=1 Hint: First, find the power series for…

A: To find the power s

Q: dy using implicit differentiation. dx Calculate sin (y) + 8 = x dy %3D dx

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Q: The population P(t) of a bacteria culture is given by P(t)=-1,500t2+60,000t+10,000, where t is the…

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Q: farmer has 150 m of fencing available to enclose a rectangular area along ne enclosed area will also…

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Q: Find all x-values in the interval for which the function is equal to its average value. (Enter your…

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Q: Find equations of the tangent plane and the normal line to the given surface at the specified point.…

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Q: 6. The coefficient of Sin(x) in the antiderivative of F(x)=| co is Blank 1 (use fraction form not…

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Q: Determine the value of the arbitrary constant of the antriderivative of F(x) = x-In(x) given the…

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Q: 2+w4 dw w3+9w

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Q: Determine whether the planes are parallel, orthogonal, or neither. 8x - 7y + z = 7 x + 2y + 6z = 1 O…

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Q: Let x = 0.46 and y = 4.74. Determine the value of C when you ev |tan-(2x)dx.(Use 2 decimal digit)

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Q: Use logarithmic differentiation to find the derivative of the function. y = (x3 + 2)2(x4 + 4)4

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Q: 3n! 3n! Find lim State whether 2n=1 converges or diverges. n→∞ 4n!-1) 4n!-1

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Q: e component form of u + v given the lengths of u and v and the angles that u and v make with the…

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Q: Evaluate limx->-12     x2+12 / x2 + 27x + 180

A: We will evaluate the limit as following.

Q: Consider the parametric the curve defined by the equations x = t² – 2t + 2 and y = t² + t. (a) The…

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Q: At what point on the given curve is the tangent line parallel to the line 3x - y = 4? y = 2 + 2ex 3x…

A: As per our guidelines we are supposed to answer only one question. Kindly re-post other question as…

Q: Determine the value of C in on the antiderivative of F(x) = sin (x)cos (x) for x = 0.784 and y =…

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Q: Let y 3T. Find the change in y, Ay when x 2 and Ax 0.3 Find the differential dy when a 2 and da 0.3

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Q: Find dy/dx by implicit differentia exly = 7x – y y' =

A: Quotient Rule of differentiation : ddxuv = v.dudx -u.dvdxv2 dexdx=ex dxndx=n.xn-1