Evaluate: 00 O 2 12 3 O dne O 2√14 7 lim, 47 16-2 12+x-r²

Q: 10. For V=2, fi , first find and and then, compute t+p%.

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Q: The path of a satellite orbiting the earth causes it to pass directly over two tracking stations A…

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Q: a)lim              (e^-x)(x^2+sinh(x+2))    x->∞   b) Find the point where the tangent to the…

A: find limit solve the parametric equation

Q: Consider the graph of the function g given by g(x) = n(x2+1) for 0 0. 0.81 0.6 0.4 0.2 0 20 40 60…

A: Given data:- The given function, g(x)=ln(x2+1)x         for (0<x)

Q: Q5: al State and prove the theorem of derivative of inverse functions. -1 bl Use the theorem steps…

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

Q: Use a definite integral to find the area under the curve between the given x-values. f(x) = ex from…

A: Topic- Area using definite integral

Q: 1 Find the linearization of the function f(x) = 5x+4 atz-1.

A: The given function fx=15x+4 at x=-1

Q: Find the value of a necessary for there to be a local minimum at x = 2 for the function f(x) = -ax²…

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Q: Assume that I and y are both differentiable functions of t and are related by the equation y = cos…

A: The equation is given as , y=cos5x and dxdt=-4 when x=π10 find dydt when x=π10.

Q: Find the absolute maximum and minimum values of the function over the indicated interval, and…

A: Topic- Absolute Extrema of a function

Q: Solve the equation. (Enter your answers as a comma-separated list. Use n as an arbitrary integer.…

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Q: The population of the United States is predicted to be P(t) = 310e0.0073t million, where t is the…

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Q: Find the inverse Laplace transform 01 2 Ou44(1-4) usinh(t — 4) O sinh4(1-4) 0 1 u4cosh4(1-4) 01 4…

A: Given problem:- Find L-1e-4ss2-16

Q: A solid is generated by revolving the region bounded by the following about the y-axis. y = y = 8 A…

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Q: Solve this in excel using solver step by step 2x-8y=11 9x+3y=5

A: Given that, the system of equations is                   2x-8y=119x+3y=5 we can write the…

Q: 12. Find the directional derivative of f(x, y, z)=zy+yz+xzat (1, 1, 2) in the direction of u =…

A: We can find the directional derivative in the following steps.

Q: A tank contains 300 liters of fluid in which 10 grams of salt is dissolved. Brine containing 1 gram…

A: Given problem:- A tank contains 300 liters of fluid in which 10 grams of salt is dissolved. Brine…

Q: (3) Since ● d dx In(x)) (4) Recall the integration formula for n-1 (why?) fr" dx = (5) Find the…

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Q: Find the gradient of the function w = 2x²y - 4yz + z² at the point (1, 1, -2). ○ 2î+ 10j - sk Ⓒ41+…

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Q: Write the first five terms of the arithmetic sequence defined recu = 2.5, a 0+1=3 +0.75 (0 82 N 33…

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Q: The marginal average cost of producing x digital sports watches is given by the function C'(x),…

A: Topic- Functions

Q: Use Definition 7.1.1, DEFINITION 7.1.1 Laplace Transform Let / be a function defined for t20. Then…

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Q: Find f" (1) when f(x) = x² − 3x³ + 2x² +10. Round your answer to three decimal places, if necessary.

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Q: A ladder 10 ft long rests against a vertical wall. If the bottom of the ladder slides away from the…

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Q: A thermometer is removed from a room where the temperature is 70° F and is taken outside, where the…

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Q: T 45-50. Binomial series a. Find the first four nonzero terms of the binomial series centered at 0…

A: 49. The given function fx=1+x-23

Q: Given compute the following integral. Provide your answer below: (f(x) + g(x)) dx = [ f(x) dx = 5…

A: Given that , ∫35fxdx=5 and ∫35gxdx=14 find ∫35fx+gxdx=?

Q: (a) (i) Find the equation of the tangent to the graph of f(x) = e² at x = 0. (ii) Show that the…

A: NOTE: As per our guidelines, I have solved three parts. If you want the answer of other, kindly post…

Q: Use the Quadratic Formula to find all solutions of the equation in the interval [0, 2π). (Enter your…

A: The general solution of cos θ = cos x  is : θ = 2nπ ± x , where n ∈ Z.

Q: Evaluate the line integral curve C : x = 4 cost, y = 8 sint (0 ≤ t ≤7 < NOTE: Enter the exact…

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Q: 3) Let D be the region enclosed by the two paraboloids z = 4 + x² + y² and z = 10-x² - y². Then the…

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Q: Find the area between the curves:  and  y= -x2+4x+2 and y=x2

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Q: Use sigma notation to write the sum. 1 7 (2) + 7 (3) j = 1 1 7(1) + 1 7(10)

A: The given sum 171+172+173+.....+1710

Q: Find the center and the radius of the circle with the equation Enter the center as an ordered pair…

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Q: f(x) is continuous on (-∞,∞). Use the given information to sketch the graph of f. f'(0) = 0, f'(-11)…

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Q: Find the x-values (if any) at which f is not continuous. Which of the discontinuities are removable?…

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Q: The region bounded by f(x) = - 2x² + 8x + 24, x = = 0, and y = the volume of the solid of…

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Q: Find the limit. Use l'Hospital's Rule where appropriate. If there is a more elementary method,…

A: To find the given limit using l'Hospital's rule. limx→0+sin(x) ln (9x) Here, the function is of the…

Q: find the 2nd derivative of the function defined implicity by the equation x^1/3+y^1/3=80

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Q: 9. If dy = xy² and if y = 1 when x = 0, then when y = 3, x is equal to dx 0 -0 DIE

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Q: Find the average value of the function on the given interval. ) = ¹ on [1, 5] X f(x) =

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Q: Highway engineers design a parabolic curve for an entrance ramp from a straight street to an…

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Q: A company manufactures and sells x cellphones per week. The weekly price-demand and cost equations…

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Q: The second derivative has been found and already factored to be f(x) = (3-x)(x+6). interval testing…

A: NOTE: Refresh your page if you can't see any equations. . the second derivative is given by

Q: Write the first five terms of the geometric sequence. a₁ = 2, r = n a1 a2 N 33 24 a5 = = = =

A: Solution of given question is written in below steps.

Q: Find the standard form of the equation of the ellipse with the given characteristics. Center: (1,…

A: This question can be solved using the concept of standard form of  equation of ellipse.

Q: Determine the open intervals on which the graph is concave upward or concave downward. (Enter your…

A: The given function is: fx=x4-5x3   As we know that; If f''x&gt;0, then we get the interval where the…

Q: Calculate the present value PV (in dollars) of an investment that will be worth $1,000 at the stated…

A: Given the query is to find the present value of the investment.

Q: 832+ 64x2² dx

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Q: Use a definite integral to find the area under the curve between the given x-values. f(x) = x² from…

A: NOTE: Refresh your page if you can't see any equations. . the given function is  and the given…