What does it mean if a system of linear inequalities has no solution?

Q: find the eccentricity of the hyperbola. Then findand graph the hyperbola’s foci and directrices. 8x2...

A: given that 8x2-2y2=16  

Q: Determine the following indefinite integral. Check your work by differentiation.

A: ∫3u-2-4u2+1 du=3·u-2+1-2+1-4·u2+12+1+u+C   ∵∫xn dx=xn+1n+1+C=-3u-4u33+u+C

Q: The  tax table can be modeled by a piecewise function,where x represents the taxable income of a sin...

A: Consider the tax owed function T(x), here x is the taxable income. Find T(50,000). Since T(x)=4750+0...

Q: Air is being pumped into a spherical balloon at a rate of 4.5 cubic feet per minute. Find the rate o...

A: given: Air is being pumped into a spherical balloon at a rate of 4.5 cubic feet per minute. we have ...

Q: If u = f(y — z, z — x, x — y), then ux +uy + uz =

A:

Q: 1 -dx. J x2 + 2x +2

A:

Q: This is a plan of a bedroom drawn to a scale of 1 to 50 5.5 cm 1.2 cm 2. 3 ст 0.8 cm 2 cm a) What do...

A: Note : As per the authoring guidelines, when multiple subparts are posted, then only first three are...

Q: Determine whether the ordered pair is a solution of the system.

A: Given: 5x-4y=203y=2x+1ordered pair 8,5

Q: Graph of a linear function Find and graph the linear function that passes through the points 12, -32...

A: Equation of a line passes through x1, y1 and x2, y2 is y-y1=mx-x1Where slope m=y2-y1x2-x1

Q: Graph f(x) = cos 2x, g(x) = 1 - sin x in the same rectangular coordinate system for 0 ≤ x ≤ 2π. Then...

A: Given functions are fx=cos2x,gx=1-sinx.

Q: Write the first four terms of the sequence whose general term is given, an = 7n - 4.

A:  Given:an=7n-4

Q: Logistic Functions and the Carrying Capacity of the Earth The function with M, A, k all positive, is...

A: Given information: The logistic model is P(t)=17.41+5.56e-0.022t. Calculation: We have to find limt→...

Q: If x2 = 7, then x =________.

A: Given,  x2 = 7, To find 'x'

Q: A rectangular fower garden with an area of 570 m surounded minimize the combined area of the garden ...

A: Consider the provided information, let x and y be the dimension of the flower garden. Then x+2 and y...

Q: Apply the law of cosines to the triangle in the accompanying figure to derive the formula for cos (A...

A: Solution:-  Here we have to apply the Law of cosines to the triangle and derive the formula for  cos...

Q: Let u = 2i - 5j, v = -3i + 7j, and w = -i - 6j.Find specified vector or scalar|| 2u||.

A: It is given that u=2i^-5j^, v=-3i^+7j^, w=-1i^-6j^. We have to find 2u   2u=4i^-10j^ 2=162+102=356=1...

Q: For the given function ƒ and initial approximation x0 , use Newton’s method to approximate a root of...

A:  Given function is f(x)=sinx+x-1 and x0=0.5

Q: Consider the functions given.Evaluate the integrals

A: To evaluate: ∫46gx-fxdx Given: ∫16gxdx=5, ∫14gxdx=2, ∫46fxdx=5 Evaluating the integral using given v...

Q: Use the derivative ƒ' to determine the x-coordinate of the local maxima and minima of ƒ, and the int...

A: It is given that f'x=10 sin 2x          x∈-2π,2π   Find the critical points by equating f'x=0. 10 si...

Q: Solve the differential equation for Newton’s Law of Cooling to find the temperature function in the ...

A: Given,  Initial temperature of soup, T0 = 100°C Surrounding temperature, Ts = 10°C Final temperature...

Q: Fill in the blank/s : The value that (1 + 1/n)n approaches as n getslarger and larger is the irratio...

A: Given:                1+1nn Let   e = 1+1nn The number e is defined as the value that 1+1nn

Q: A cube's volume increases at a rate of 108 ft3/min. At what rate is the cube's edge length changing ...

A:

Q: Find the general solution of the differential equation dy/dx = x3/2y2

A: Treat dydxlike a fraction to move the y terms to one side of the equation and the x terms to the oth...

Q: Find the quadratic polynomial whose zeroes are -3 and 4

A: Given Data: The zeros of a quadratic polynomial are: x1=-3 & x2=4 The general quadratic polynomi...

Q: Find the sum of AB and CD, where A = (1,-1), B = (2,0), C = (-1,3), and D = (-2,2)

A: Given data: The first point given is A=(1,-1). The second point given is B=(2,0). The third point gi...

Q: If the common difference of an AP is 5 then what is a18 - a13

A: Common difference of AP d = 5   We have to find the difference between 18th and 13th term 

Q: Plot the point (-4, 4π/3) in polar coordinates and find its rectangular coordinates.

A: Given -4,4π3

Q: 1/2 4 dx VI - x

A:

Q: Consider the following convergent series.a. Find an upper bound for the remainder in terms of n.b. F...

A: We are answering the first three subparts as per our honor code. The series ∑k=1∞13k. Considering th...

Q: Suppose the functions ƒ(x) and g(x) are defined for all x and thatlimx→0 ƒ(x) = 1/2 and limx→0 g(x) ...

A: Given limx→0fx=12 and limx→0gx=2we have to findfx.cosxx-1

Q: Factor completely. 7x4 + 34x2 - 5

A:

Q: Write the equation in its equivalent logarithmic form: 132 = x

A: Given 132 = x. We need to write the equation in its equivalent logarithmic form.

Q: Atmospheric Pressure Atmospheric pressure P (in kilopas- cals, kPa) at altitude h (in kilometers, km...

A: we have been given the formula  lnPP0=-hk where k=7 and P0 = 100kPa are constants and we have to sol...