a. Graph the following system of equations. y = -3x y = x + 4 b. What does the graph show to be the solution of the system?

Q: Form a polynomial f(x) with real coefficients having the given degree and zeros. Degree 4; zeros: -2...

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Q: Consider a hemispherical tank that is completely filled with water. The water exits the tank from th...

A: Given that, There is a hemisphere, Radius (R) = 5 m Length (L) = 2 m density of water (d) = 1000 kg/...

Q: Find all values x= a where the function is discontinuous. For each value of x, give the limit of the...

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Q: Solve the equation using the quadratic formula. 7x2 = 2x - 1

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Q: Simplify and evaluate. cos 70° cos 25° + sin 70° sin 25°

A: Answer: The solution is as shown below:

Q: Find all the critical points of f(x) = 4x³ – 3x. %3D V3 z = V3 x = 0

A: The given function f(x)=4x3-3x

Q: A microwaveable cup-of-soup package needs to be constructed in the shape of cylinder to hold 1650 cu...

A: Given:   V = 1650  styrofoam costing 0.02 cents per square centimeter. costing 0.09 cents per square...

Q: What is the phase shift of F(x) = 3 sin (2x - 4)? 4 right 2 right 2 left

A: Given query is to find the phasse shift of the function.

Q: Evaluate ∫∫∫E √X2 + Z2dV, Where E Is The Region Bounded By The Paraboloid Y = X2 + Z2 And The Plane ...

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Q: determine the number of cells after two hours.

A: Follow the procedure given below.

Q: (6x3 +7x2 + 20x + 16 d.x Consider the indefinite integral x4 +4x2 Then the integrand has partial fra...

A: We need to solve integral.

Q: Given the function P(n)=(n−7)(n+6)(n−3): the coordinates of its P-intercept are  the coordinates o...

A: To find out the coordinates of P- intercepts and n-intercepts.  

Q: Express the repeating decimal as a fraction. 0.904818181818... 0.904818181818.=

A: Let X equal the decimal number. X=0.904818181818...             (1) With 2 digits in the repeating d...

Q: Expand the logarithmic expression log, Show your work and attach (c + 1)3

A: let x = logbbbc+13we know that logaan = nlogaa = nlogab = loga-log(b)

Q: Salve for x if Arc tan (1- x) + Arc tan (1 + x) = Arc tan

A: Our Aim is to solve for 'x' if tan-11-x+tan-11+x=tan-1x -(i)

Q: Given g(æ)+ x/g(x) + 8 = x² + 1, g'(0)=

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Q: Convert the following integral to polar coordinates. Do not evaluate the integral. 1 V1-x2 (x + y)dy...

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Q: (10x -) dx

A: We can find the integration as below.

Q: (1) Which is the correct formula for finding the derivative of the product of two functions? O (fg)'...

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Q: In two or more complete sentences describe how to determine if the function f (x) = cos(x) is even b...

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Q: What is x sec xdx ? A. xtan x- In cos x+ C C. xtan x- In |secx+C | B. xsecx-secx tan x+C D. xsec x+ ...

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Q: Σ e is true? Let z be a real number. Which of the following statements about the infinite series

A: Given that x be a real number then our aim is to tell which statement given below is relevant with t...

Q: 4 & 5

A:

Q: #62

A: We have to show that the concentration of salt after t minutes (in grams per liter) and what happens...

Q: limit

A: Please refer to the image below

Q: Given: cos () cos () – sin() sin() (유)x 1. Identify the Trig identity that corresponds with the expr...

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Q: dy If y = (t + 2t + 5) (7Ł² + 3), find dt dy dt

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Q: Solve the equation for 0 <0 < 2T = 4+ sin 0

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Q: (x²+y)dx+(y³+x)dy=0

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Q: Supposes L(x) is the linearization for a function f(x) at a=5. This would best approximate which of ...

A: We have to find which option is best approximate of the following

Q: Consider the integral sin-'(5x) dæ: Applying the integration by parts technique, let U = and dv dx %...

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Q: Answer the following question on separate paper. Make sure to show all supporting work. Also, for qu...

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Q: Ly = Ce* + C2 cos x + C3 sinx

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Q: e is an angle in standard position with T(-20, -21) on its terminal ray. Find cose -21/29 -20/29 21/...

A: As x= r cosθ  and  y=r sin(θ), then          r = x2+y2    and  θ=tan-1yx

Q: Suppose that R is the finite region bounded by f(x) = VT and g(z) 4 Find the exact value of the volu...

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Q: A tank contains 60 kg of salt and 1000 L of water. A solution of concentration .03 kg of salt per l...

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Q: y tan x dx + In* ydy=0

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Q: An environmental study in a community shows that the level of a certain pollutant in the air is L(P)...

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Q: Current Attempt in Progress Determine whether the series converges, and if so find exactly its sum. ...

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Q: f(-2)= f(1)=

A: Given:  

Q: Find the average of the function h (x) == 4x² – x + 5 on the interval [-2,3]. %3D Average=

A: Given query is to find the average value of the function for the interval [-2,3]

Q: revolutions while the wheel is going 430 feet. Find the diameter of the wheel to the nearest whole n...

A: Given query is to find the diameter of the wheel.

Q: Let R be the region between the spheres x2 +y² + z² = 4 and x2 + y? + z² = 16 and above the xy-plane...

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Q: A is launched into the air with an upward velocity of 38 feet per second. The height of the after t ...

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Q: The quadratic approximation for a function f(x) at a=2 is given by q(x) = 16+ 32(x – 2) +24(x – 2)² ...

A: Given that: q(x)=16+32(x-2)+24(x-2)2

Q: The value of tan is -1 1 undefined

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Q: 14 (x),6 dr 36 + [g(x)]?

A: We have to solve the value. 

Q: #55

A: 55.The given function,y=3-x1+x21-x4

Q: The base of a solid is the region in the first quadrant bounded by the curves below. 25y = 25 – x2 x...

A: Given : Base of a solid bounded by the curves 25y=25-x2 , x-axis ,and y-axis. In the first quadrant ...

Q: Find all the values of x such that the given series would converge. Σ (5)" (,n + 4) n=1 The series i...

A: The given series,        ∑n=1∞xn5nn+4