4. Let f(x)=1+x³-x. Find an x-value that makes f(x) < 0 and Find an x-value that makes f(x) > 0.

Q: Show that the equation represents a circle by rewriting it in standard form. x2 + y2 − 8x + 10y +…

A: Given: x2 + y2 − 8x + 10y + 25 = 0

Q: Let g(s, t) = (sin(s)-t, e, s) and f(x, y, 2) = e²+²y+z Compute(fog) at (0,0).

A: See the details solution in belo

Q: In 1995, 76 women were enrolled in chemistry at a certain high school while 165 men were enrolled.…

A: To find out the percentage of women who are taking chemistry.

Q: The piecewise function for the above table can be shown as: 95 110 150 160 220 f(x) = 240 360 10,…

A: A piecewise function is a function that has different definitions depending on the x value as in…

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Q: If f(x) dx = 3 and 5 f¹ f(x) dx = 25, then f f(x) dx = A)-2 B)1 C)-1 E) 8 D) 2

A: Given: ∫3-1f(x)dx=3 and 5∫31f(x)dx=25To Find: ∫-11f(x)dx

Q: A certain drug is being administered intravenously to a hospital patient mg Fluid containing 3 of…

A: A certain drug is being administered intravenously to a hospital patient. Fluid containg 3 mgcm3 of…

Q: for the following P.d.f of x, find the p(x<1) and p(|x|<1) ,F(x)=x²/18 if -3<x<3 and 0 in other…

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Q: Label the zeros and asymptotes. Graph each function. Answer each limit question. 11. f(x) =…

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Q: Suppose f(1) = Let h(x)= arcsin(f(x)). h'(-1) = and f'(1) - 2.

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Q: 15. Point P(4,-5) is on the terminal arm of an angle of measure in standard position. Determine the…

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Q: 5. lim -00 2-1 5

A: limx→-∞x2-x45

Q: < The productivity of a certain country with the utilization of x units of labor and y units of…

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Q: 1. Find the following limits proving whether they exist or do not exist y² sin x X E) F) lim (x, y)…

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Q: Solve the system of linear equations. (If there is no solution, enter NO SOLUTION. If the system has…

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Q: 17. Determine the equation f(x) = cosx as a sin function.

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Q: Use the graph to find the following limits. a. lim f(x) X-1 b. lim f(x) X-3 a. Find lim f(x) or…

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Q: 12. Find the area under the graph of f(x) = e-In(x) on the interval [1, 2]. O 0.5 O-0.5 O 0.693…

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Q: Solve the given differential equation. All solutions should be found. dy_ x - 4y dx x NOTE: Use c…

A: Let's solve given differential equation.

Q: Complete the table to find the derivative of the function. Original Function Rewrite eBook y = 4…

A: Basic identities of differentiation are used.

Q: Express the following functions in the form U+iv f(Z) = ln (1+z) ●

A: The given function is fz=ln1+z.We need to write it in the form u+iv.

Q: Graph the system of linear equations. 0.04x -0.03y = 0.05 0.05x + 0.02y = 0.12 -10 -10 -5 -3 -10 y…

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Q: 30. F(x) = [sin(t²)dt . Find F '(1).

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Q: lim x→0 (sin3x sin5x/x2) *without use of deritivatives or l'hospital's rule*

A: See the details solution in below

Q: 1. If y=tanx, prove that y=2(y² +1)(3y² +1).

A: y =tanx y'''=2(y2+1)(3y2+1).

Q: A random variable, z, has p.d.f. f (z) = e ², 0 =< Z < 1. Calculate the expected value of z. 1 O a.…

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Q: OE OF OA OB Ос OD The only horizontal asymptote of f(x) = A)y=0 E) y = In (3) B) y = 1 F) None In…

A: To determine the only horizontal asymptote of fx=lnxx.

Q: The graph of f is shown on the coordinate plane. Selected values for g are shown in the table. Graph…

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Q: X f(x) f(x) = Complete the table. (Round your answers to four decimal places.) lim x-0 √x+7-√7 X X…

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Q: what points on the given curve  x = 2t3, y = 5 + 50t − 10t2  does the tangent line have slope 1?…

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Q: If y=(sin3x-cos3x)², find dy dx

A: Given y=sin3x-cos3x2

Q: 3. Find the derivatives of the following in two ways: -by evaluating the integral and…

A: This is a problem related to integration of the function. Please follow the procedure given below.

Q: Solve the differential equation. y' + y tan x = cos X, -π/2<x<π/2 A y = x cos x + c cos X, - B) y=x…

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Q: Match column A with the correct answer on column B, write only the letter of your answer on the…

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Q: Find the limit of the function lim x → − 6 ( 2 x + 12 | x + 6 | )

A: Find the limit

Q: Find the solution of the given initial value problem. ty' + 4y = t²t+7, y(1) = 8, t > 0 y =

A: This differential equation can be solved as follows:

Q: USE HOMOGENEOUS LINEAR HIGHER ORDER DE 4. y(4) + 50y(²) + 625y = 0 ANSWER: 4. y = (C₁ + C₂x) cos 5x…

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Q: Q4:B/Simplify [cos 20-i sin2018 [cos 30+ i sin30 1² [cos 40+ i sin40 ]³[cos 20-i sin2015 using De…

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Q: question 5. (D² + 4D + 4)y=0, x= 0: y = 1, y' = -1 answer 5. y = e 2x (x + 1)

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Q: Question 10 of 25 The function f(x) = x -3x3 is decreasing on the interval A)(-00, 0] D) [0,10] B)…

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Q: 23. Find the absolute value of the resulting error if the value of fx³ dx is estimated with 3…

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Q: Evaluate the determinant, in which the entries are functions. Determinants of this type occur when…

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Q: Q1:/Verify that the given function is harmonic and find it is harmonic conjugates so that f(z) = u +…

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

Q: Let Fib(n) be the nth term of the Fibonacci sequence with Fib(2)= 1, Fib(3) =1, Fib (4)=3 and so on,…

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Q: A- Find (1) asymptotes for the following functions: x²-1 x²+2 (2) x³+x²-x-3 x²-1 x²-4 (1) f(x) =…

A: Note: Since, the student has posted four sub-parts with numbering (1) and (2). We are considering…

Q: Suppose f and g are continuous functions such that g(4) = 2 and lim [3f(x) + f(x)g(x)] = 10. Find…

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Q: Sketch the region and find its area. The region bounded by y = -8 00 8 Y -00 X 36 9+x² Calculate the…

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Q: In(√3) e dx 1+e²x A) tan-¹(3)-tan-¹(e) C) tan-¹(√3) E)-tan-¹(e)

A: Given integral: I=∫1ln3exdx1+e2x   Let, u=ex Then, dudx=ex So, exdx=du Now, the lower limit becomes:…

Q: If y = arctan (4x² + 4x + 5), dy dx

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Q: /4 1. evaluate [sec(x) dx . Give 3 decimal places for your answer. If your answer is below 1, use a…

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