Question Find the area bounded by y + y³ = x and y = . Submit your answer in fractional form. Provide your answer below: 1 ***** 7 O I

Q: Find median and mode of the messages received on 9 consecutive days 15, 11, 9, 5, 18, 4, 15, 13, 17.…

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

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

A: Topic:- application of integration

Q: Given that lim f(x) = 1 lim g(x) = −4 lim h(x) = 0, find the limits, if they exist. (If an answer…

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Q: What is the dot product A•B if A=2x-3y and B=15x+10y?

A: We have to find dot product of A and B here

Q: Question 150 An acute angle, e, is in a right triangle such that cose- O O 24 26 218 448 8 O 25 25…

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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: Consider the function defined as follows: f(x) = 5x² - 8x + 10. f(3+h)-f(3) h as happroaches zero.…

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Q: Find the center and radius of the circle. (x - 3)² + y² = 36 center (x, y) = radius Sketch the graph…

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Q: 27. A large tank is partially filled with 100 gallons of fluid in which 10 pounds of salt is…

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Q: 2. (Equation of a Line) Write an equation of the line passing through the points (-1,3) and (8, 11).

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Q: + + -5 -4 -3 -2 -1 у 5+ 4+ 3+ 2+ 10 О -1+ -2+ -3+ -40 −5+ 1 2 3 4 5 X

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Q: 1. Evaluate the following integrals. d. f(r+1)³dr C. 3/4 fese xcot xdx /4

A: This is a problem related to integration. Based on the general formula and concept we will answer…

Q: Solve the diff eq. (Homogenous) y' = ysecx

A: The given equation is: y'=ysec x⇒dydx=y sec x⇒dyy=sec x dx

Q: 1. Find the limit if exists or show that the limit does not exist 1-cos(x+2y²) (x+2y2)2 (a) (b) lim…

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Q: 4 Find the roots of Z²+1=0 itt/2 Hint i = e 3

A: Given z4+1=0

Q: Solve 273 (Q)dx if Q=0.85x² + 6x + 12 298

A: Given :∫298273QdxQ=0.85x2+6x+12

Q: Determine whether the matrix is in row-echelon form. If it is, determine whether it is also in…

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Q: The tortoise versus the hare: The speed of the hare is given by the sinusoidal function H(t) =…

A: The speed of the hare is : H(t)=cos(t) The speed of the tortoise is : T(t)=12t

Q: Extra Problem 1 The table gives values of a continuous function. Use the midpoint rule (n = 3) to…

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Q: Let g be a function where g(2) = 5 and g(8)= -9. Which of the following conditions is necessary to…

A: Let g be a function where g2=5 and g8=-9 we have to find the necessary condition for g such that…

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 place…

A: Let's solve.

Q: Function 1 t h(t) = sin t+=e 5 Point πT 1 I, -e 5 (a) Find an equation of the tangent line to the…

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Q: Find y' for sin x+sin y = 1. Find y' for xcos y=sin(x + y).

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Q: New Randomization Evaluate the function at the indicated values. (If an answer is undefined f(x) =…

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Q: a) f(x,y) = x³y² + 6xy b) g(x,y)= 6x-x²-8y-2y²

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Q: 4* Find the perimeter of a sector of a circle with central angle = 3 16 b) 0 (4+1) O c) 08 ft d) 0…

A: Given :Radius r= 4 ftCentral angle θ = 4π3

Q: (3) Find the radius of convergence of a) infinite b) 1 not defined 0 infinite X Σ₁ F

A: The given series is: ∑j=1∞xjj2 Let, aj=xjj2; j≥1

Q: For each of the following functions, find the derivative (dy/dx) with respect to x: 7. y = cos x 9.…

A: The given functions 7. y=cos x8. y=ex9. y=ln x we have to find the derivative of this functions.

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

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Q: Find median and mode of the messages received on 9 consecutive days 15, 11, 9, 5, 18, 4, 15, 13, 17.…

A: Please check the given options because the answer to the given question is not among the given…

Q: show that the mapping w = (1 − j)z, where  w = u + jv and z = x + jy, maps the region y > 1  in the…

A: Given data:- The given equation, z=x+ jy  and  w=(1- j)z

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: 1. Let f(x) = |x-1|-3. (a) Sketch f(x) for x > 0 and label where f crosses the x-axis. (b) Find a…

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Q: Suppose y sec-¹x. Then a arcsec O sec y Y sec Y

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Q: (b) (c) Find the direction (a unit vector) in which f increases the fastest at (1, m, 0). Find the…

A: (b) We have to find the direction in which f increases the fastest at (1, π, 0), where…

Q: Hello good people, how are you, I need you to write these numbers in polar form for the complex in:…

A: Note that, if z=a+ib then z=reiθ=r(cos θ+i sin θ) where r=a2+b2 and θ=tan-1ba

Q: If  g(x) = x2 + 10x  with  x ≥ −5,  find  g−1(56).

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Q: If y=(sin3x-cos3x)², find dy dx

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Q: A wheel with a diameter of 31 meters is moving forward at 112.1 meters per second. How fast is the…

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

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Q: 20. What is the probability of an actually event? a. 0 O b. Insufficient data O C. 1 O d. Not…

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Q: 1. Prove the following limits xy lim (x,y)→(0,0) √x²+y² x³+y³ D) E) lim (x,y)→(0,0) F) x²+y² x² - y²…

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Q: In how many ways can we of 12, of which a particula included? a. 904

A: Topic:- permutation and combinations

Q: Let lim f(x) = 4 and lim g(x) = 20. Use the limit rules to find the following limit. X-6 X→6 f(x)…

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

Q: An electromotive force E(1) [120, [0, 0t 20 t> 20 is applied to an LR-series circuit in which the…

A: Let's solve current at time t by using diffrential equation.

Q: Q2:/ Sketch the region (R) of integration S x² dydx and evaluate the integration. Then reverse the…

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Q: Find fogo h. f(x) = g(x) = x³, h(x) = x + 6

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Q: In Problem 1-10, write the given sets by extension. when possible 1- 2 A= {x/e B₂{x|x is a 3- C =…

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Q: 2. Below is the graph of f '(x), the derivative of f(x), and has x-intercepts at x = -3, x = 1, and…

A: Solved below as per the definition of given terms.