Let ˜(x)=3e³x (10−6x)+e³* (−6) Find the value of x that makes f(x) = 0 Pick test values and plug in the test values to ind the sign of the function in each of the intervals

Q: Solve the standard equation of every circle that passes through the points P(1,-1) and Q(3,1) and is…

A: I am attaching image so that you understand each and every step.

Q: the general solution of the following equations: a) 2xy dx+(1+x²)dy=0 b) y'+(4/x)y=x* ---------by…

A: Topic:- solution of differential equations

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

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Q: Determine whether the three points are collinear. (0,-4), (-3,-6), (2,-2) Are the three points…

A: See this solution in below with details

Q: CHAPTER 0 Review Exercises 1. Let f(x) = x³ + Evaluate ƒ(1), ƒ(3), f(-1), f(-). and f(V2). 2. Let…

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Q: 03/: Find the area over the region R that lies inside the cardioid r=1+ cose and outside the circle…

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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: 7. Write the equation of the graph below.

A: Here we have to determine the equation of the given graph below.

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

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Q: Book Problem 15 Find the average value of the function f(x) = -3x³ on the closed interval [-1,3].…

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Q: Show that is the inverse of A 2 5 ¦ ¦] -- [_ 3 185 41 -88³-

A: We need to show that B is inverse of A.

Q: Find f(x) + g(x), f(x) = g(x), f(x) · g(x), f(x) = 5x-9 g(x) = 7-6x (a) f(x) + g(x) (b) f(x) = g(x)…

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Q: Find the area bounded by y = x³ and y = x² + 2x on x € [-1, 1]. Submit your answer in fractional…

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Q: Find each of the following for f(x) = 4x² - 7x+ 5. (A) f(x + h) (B) f(x+h)-f(x) (C) f(x+h)-f(x) h

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Q: Find the domain of the function. (Enter your answer using interval notation.)

A: Topic:- function          Definition:-   the domain of a function is the set of input values for f,…

Q: The means of 6, 6, 6, 6, 6, 6 is 6? O a. False O b. True

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Q: 1. Cot cot x dy + ct x dx -x dx. xdx Sdx

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Q: Differentiate the following expressions and saveit under the given variables. 1. ур1 2. yp2 = 3. yp3…

A: Given data:- (1); yp1=x26-xx+2(2); yp2=ddxx24-x4+x(3); yp3=ddxx2-12x2-6x-1

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A: We will find the required.

Q: lim sec O 0→→→I+ 2

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Q: 3. Find y' for y = cos(sin² x)

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Q: 3 11. Simplify completely: √√√6

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Q: Given the following augmented matrix which represents a linear system, solve the linear system using…

A: The given equations are; x1+x2+4x3+4x4-8z=21 2x1+3x2+8x3+8x4-14z=46 x1+5x3+4x4-12z=18…

Q: Evaluate the following integrals. b. "f2 sec² xdx (2x+5)dx

A: Topic:- application of integration

Q: If A(x₁, y₁), B(x, y₂) and C(x3, v3) are the vertices of triangle ABC and x+y=x+y=x+y. then show…

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Q: A random variable, t, has p.d.f. H(t) given by H(t) = 3 e-3t when t >= 0 Calculate the standard…

A: This is a problem related to probability distribution function. Please follow the procedure given…

Q: 15. Solve the following system of equations using the matrix method. Show your work. Express your…

A: We have to solve the given system of equations.

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: The probability a machine has a lifespan of more than 5 years is 0.8. Ten machines are chosen at…

A: This is a problem related to probability. Please follow the procedure given below.

Q: Find all critical numbers of each function: a) f(x) = [x^1/5]  b) f(x) = 4/1+[x^2]

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Q: Question 1.7 of 25 The area of the region that enclosed by f(x) = 2x-x² and y = 0 B) / A) 413 c) 3/4…

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Q: A/ By using Exact equation solve the first order differential equation 2y² + ye* + (4xy + x² + 2y)y…

A: Topic:- application of differential equations

Q: random variable, y, has a known probability distribution given by Y :2,4,6,8,10 and P 0.17,0.23, 0.2…

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Q: 3. Consider f(x) = Inx and g(x)= ex. Determine (fog)(x) and (gof) Simplify your answer. a) (fog)(x)…

A: Topic:- function

Q: Calculus 1. Consider the function f(x) = -5+7²-1. (a) Find the derivative f'(x) and hence the…

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Q: Find the domain of the function. (Enter your answer using interval notation.) 3x³-1 x² + 3x - 18…

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Q: f(x) = y 9 8 7 6 5 4 3 2 x + 5 J 5 6 7 8 X 1 2 3 4 Describe the interval(s) on which the function is…

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Q: Sketched below are the graphs of f(x)=x²-1 and g(x)=x+1., The graph of fintersects the x- axis at A…

A: Given data:- The given equation, f(x)=x2-1g(x)=x+1

Q: a) (b) (c) ê Sir COS -2s (²+4)² 8 (²+4)² 2s (s²+4)²

A: Topic:- application of integration and derivatives

Q: Consider the function Evaluate the definite integral f₁ f(x) dx = Evaluate the average value of f on…

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Q: Simplify [cos 20-i sin2018[cos 30+ i sin301² [cos 40+ i sin40 1³ [cos 20-i sin2015 using De Moivre's…

A: This question can be solved using the De Moivre's theorem which says eix=cosx+isinx

Q: B- Use power series to evaluate the integral sin.x X -dx

A: We want to find integral of sinx/x using power series.

Q: If log x=0.33 and log z=0.83, evaluate the following expression. √√x 3√2 log b

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Q: (a) lim h(x) X--2 (b) lim h(x) x-0 (0, -5) (-2,-7) y y = h(x) X

A: We have to find limit values at given points x= -2 and x=0

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

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Q: 4. Solve for b in: 1 4 2 15 5b 3b

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Q: Explain why lim F(x) in Figure A exists, but lim f(x) in Figure B does not. X-2 X→-2 Figure A AF(x)…

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

A: Basic identities of differentiation are used.

Q: The means of 6, 6, 6, 6, 6, 6 is 6? O a. O False b. True

A: Write the formula for mean of a data set. Mean =The sum of elements in the data setThe count or…