Compute 8/3 4 2 lim x→0+ x Since this doesn't look like 0/0 or ∞/∞, you can't use L'Hôpital's rule right away: you should first combine everything into a single fraction! 8 4 DNE - e²x 1

Q: The table below shows the six basic solutions to the following e-system. = 36 +5₂ = 48 2x + 3x₂ +5₁…

A: Given that , 2x1+3x2+s1       =364x1+3x3       +s2=48 and the basic solutions are   x1 x2 s1 s2…

Q: Two sides of a triangle are 14 and 4. Find the size of the angle θ ​(in radians) formed by the sides…

A: we will find the required.

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A: Given, 4. f(x,y) =xy3 - x2, (1,2) , θ = π/3

Q: Find the local maximum and minimum values of the function f (x) = -x - 64/x using the Second…

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Q: Find the volume of the solid enclosed by the paraboloid z = x2 + y2 + 1 and the planes x = 0, y = 0,…

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Q: LINEAR DIFFERENTIAL EQUATION 3 ; y ( ¹ ) = 3 1.) dy dx + 24 x

A: As per the rules we can answer the first question and rest others can be reposted, to find out the…

Q: 41. y = x - 4x x +1' [0, 3]

A: Here is the solution:

Q: Evaluate the integral. (Use C for the constant of integration. Remember to use absolute values where…

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Q: tt (seconds) 0 2 4 6 8 Velocity (ft/sec) 0 2 8 14 30   Shown in the table is the velocity of a car…

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Q: Evaluate the line integral, where C is the given curve. √xy y = 2t, C xy ds, C: x = t²₁ 0 ≤t≤ 1

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Q: Find y' and y". y' y" 11 = y = ( 2 + √x) ³ 3

A:

Q: The height of a cylinder is seven times its radius. Find a function that models the volume V of the…

A: Given:  Height of the cylinder is seven times its radius.   We are required to find: Function that…

Q: Use derivatives to find the absolute min and/or max for the function f(x) = sin(x) + cos(x) on the…

A: we have to find out the absolute minimum and maximum for the function on the interval [0, 2].

Q: TT₂: TT₂: TT₂: 3x+2y-z+6=0 6x+6y-2z+6=0 3x+3y-z+6=0

A: Given: A set of three planes 3x+2y-z=-66x+6y-2z=-63x+3y-z=-6 To find: intersection of these planes.…

Q: and the critical points of the f(x) = 2x³ + 7 1/22²- - 3x

A:

Q: Evaluate the integral. (Use C for the constant of integration. Remember to use absolute values where…

A:

Q: Time spent running (minutes) 0 15 30 45 60 75 Speed (mph) 11 9 7 5 5 0   Shown in the table is a…

A: We have to find the overestimate and underestimate.

Q: 8. farmer with 750 feet of fencing wants to enclose a rectangular area and then divide it into four…

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Q: Consider the following. y = = In(x²) Find y'. y' = m = 2 X Find the slope m of the tangent line to…

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Q: 11) In the generic version of the exponential function, what do the parameters a, b, c, and d do to…

A: We need to write down about the parameters a,b,c and d.

Q: Find the linear function with the following properties. Answer f(x) = f(0) = -6 Slope off = -4…

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Q: Use the method of cylindrical shells to find the volume generated by rotating the region bounded by…

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Q: Find the area of the shaded region. y = 0 2 square units y 2 -2 y=x√√4-x² y = 0 2 X i

A: We need to find out the area of the shaded region.

Q: Find the absolute maximum and absolute minimum values of f on the given interval. f(x) = 2 + 54x −…

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Q: Assume the nth term in the sequence of the partial sums for the series an is given below. Determine…

A: The given sequence of partial sum of the series ∑n=0∞an is sn=5+8n22-7n2. We have to find the sum of…

Q: A wire 10 cm long is cut into two pieces, one of length x and the other of length 10 - x, as shown…

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Q: Use the definitions listed in Section 6.1.2 with f(x, y, z) = x² + yz, F(x, y, z) = (xy, yz, xz),…

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Q: Sketch the graph of f by hand and use your sketch to find the absolute maximum and minimum values of…

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Q: In Exercises 29–58, find the minimum and maximum value of the func- tion on the given interval by…

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Q: Write and solve the differential equation that models the verbal statement. (Use k for the constant…

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Q: ABC Daycare wants to build a fence to enclose a rectangular playground. The area of the playground…

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Q: Consider the following. Find g'(x). g'(x) = g(x): = In(x) - 1 In(x)² X In(x) Solve g '(x) = 0 for x.…

A: NOTE: Refresh your page if you can't see any equations. . the derivative of the function already…

Q: Use differentials to estimate the value of 1.5. Compare the answer to the exact value of $1.5. Round…

A: By using differential to estimate the value of 1.54.  To compare the answer to exact value of 1.54.…

Q: Find the maximum rate of change of f at the given point and the direction in which it occurs. f(x,…

A: To find the maximum rate of change of f at the given point  and the direction in which it occurs.…

Q: 2 6² 6² S (3x + 4y) 5dxdy 0 Find

A: We need to evaluate :

Q: Find the most general antiderivative. (Use C for the constant of integration. Remember to use…

A:

Q: Given the demand function D(p) = 100 - 4p², Find the Elasticity of Demand at a price of $4 At this…

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Q: Evaluate the integral. (Use C for the constant of integration. Remember to use absolute values where…

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Q: Evaluate the indefinite integral. (Use C for the constant of integration.) 7xeox dx 6x [7xe 7…

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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: The initial value problem modeling the number of fish in a stocked pond after t years is dy dt a)…

A: According to question,Given differential equation,dydt = 0.1 y -50

Q: Find [[ cos (2² + 3²)dA where D = COS D {(x, y) | 16 ≤ x² + y² ≤ 64}

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Q: dx 3 Assume that x = x(t) and y = y(t). Let y = x³ +3 and=5 when x = 1. dt dy Find when x = 1. dt dy…

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Q: What is the equation of the verti asymptote of the following grap

A: here , we have graph of a function , then we have to find equation of vertical asymptotes :-

Q: Find the area of the shaded region. y 15 10 5 2 y=7x-x² y = 2x 4 (5, 10) 6 Co 8 X

A: Area between the two curves f(x) and g(x) can be calculated using theformula:Area=∫abf(x)-g(x)dx

Q: How did you figure the 2/3 is where it discontinuous??

A: In this question, we want to know that how the given function is discontinuous at z=2/3.

Q: Transformation by trigonometric identities & integration by parts. Evaluate each of the following…

A:

Q: A vehicle purchased for $29800 depreciates at a constant rate of 17% each year. Its value after t…

A: Given :Original value = $29800Constant rate = 17%A=P0.83t

Q: Find the derivative of the function at Po in the direction of A. f(x,y)= - 4xy + 4y², Po(0,-6),…

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Q: The population (in millions) of a country in 2007 and the expected continuous annual rate of change…

A: Given : k= - 0.006 P(7) = 2.3