х + 2у — z %3D — 4 х+ 4y 2х + Зу + z %3D 3. — 2z %3 -6

Q: Factor and simplify : 12x-3/4+ 6x1/4

A: Given expression is: 12x-34+6x14

Q: Find the total area of the shaded regions. (x) =4 -x² -4-

A: Given: fx=4-x2      The area of the shaded region is the area bounded by the curve fx=4-x2 and lines...

Q: Solve the equation or inequality. Use interval notation to express solution sets of inequalities and...

A: We have o solve the equation: 8-2x-x=0 We know for any square root function, fx it must satisfy that...

Q: Calculate the derivative of the following functions

A: The given function is y=e2t1+e2t

Q: If -3=-y^2+xy^2-x^2 and it is known that dy/dx=(y^2-2x)/(2y-2xy), find all coordinate points on the ...

A:

Q: . Which of the following is continuous at x = 0? I. g(x) = |x| II. g(x) = e* III. g(x) = In(e – 1) A...

A: (I)        gx=x     gx=-x, if x<0x,    if x≥0 f is continuous at x=0 if L.H.L. = R.H.L.=f(0) i.e....

Q: Evaluate lim (Hint: x – 1 = 1Vx2³ - 1³.) xSi x - 1

A: Here given limit L=limx→1x3-1x-1

Q: For each part, type your answer in as a fraction. Do not use a decimal or round your answers. If sin...

A:

Q: Find: a. (f ∘ g)(x)  b. (g ∘ f)(x)  c. (f ∘ g)(2)  d. (g ∘ f)(2), given f(x) = 4 - x, g(x) = 2x2 + x...

A: Given ;          fx=4-xgx=2x2+x+5

Q: If your car gets 32 miles per gallon, how much does it cost you to drive 30 miles when gasoline cost...

A:

Q: The graphs of f and g are given. Use them to evaluate each limit, if it exists. (If an answer does n...

A:

Q: Find the deri vatives of the function at the given point. fC)~2で-x X- at f(x) = x°- 5x at x = 2 3. %...

A: Note: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts ...

Q: Find the critical number of f(x) = 3x^2 - 18x + 4

A:

Q: Answer number 14

A: Given that the parametric equations are, x(t)=t3-1t2+t  and y(t)=t2-2t+3

Q: Arc length parameterization Prove that the curver(t) = ⟨a cos t, b sin t, c sin t⟩ is parameterized ...

A: rt=acost, bsint, csint Differentiating with respect to t, we get r't=-asint, bcost, ccost Now arc le...

Q: find the extreme values (absolute and local) of thefunction over its natural domain, and where they ...

A: Given, y=x2-1 Since it has a square root, the value inside the radical must be positive. ⇒x2-1≥0⇒x2≥...

Q: if c.b,c are constants and a+b+c=1 then- x) is 1. dx Select one True Folab

A:

Q: Evaluate the limit, if it exists. If not, determine whether the one-sided limits exist (finite or in...

A: The given expression is limx→16x-4x-16

Q: oving to the next question prever on 4 The general solution to the DE x*y' = 4x² + 7xy +2y² is O x²y...

A:

Q: The integrating factor that transform the differential equation y" +-y' + Axy = 0 into a Sturm-Linvi...

A: Given information: The differential equation is y"+1xy'+λxy=0. Concept used: The Sturm-Liovelle's di...

Q: In each of Problems 23 through 25, find the Wronskian of two solutions of the given differential equ...

A: Consider the given: t2y''−tt+2y'+t+2y=0Divide by "t2",y''−1+2ty'+1t+2t2y=0This is of the form y''+Py...

Q: Use the given vectors v = 7i - 2j, w = -3i - j to find v.w and v.v

A: The given vectors are v=7i-2j,w=-3i-j.

Q: -1 2.

A:

Q: Find the integrals

A: ∫sin54-3xcos44-3x dx=∫sin44-3xcos44-3x sin4-3x dx=∫sin24-3x2cos44-3x sin4-3x dx=∫1-cos24-3x2cos44-3x...

Q: Convert the polar equation r = 3 to a rectangular equation. Then use your knowledge of the rectangul...

A: Given r=3 To graph  the polar equation in a polar coordinate system.

Q: The equation o describes what type of object in R? 2 %3D Select one: O a. cone b. plane O c. point O...

A: Given information: The equation is ϕ=π2. Calculation: In the spherical coordinates we know that z=ρc...

Q: express each vector in the form w = w1 i +w2 j + w3 k. -2u + 3v if u = [-1, 0, 2] and v = [1, 1, 1]

A:

Q: 39. An observer stands at a point P, one unit away from a track. Two runners start at the point S in...

A: Diagram :  

Q: Answer F

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Q: In your own words, state the Division Algorithm ?

A: To state: Division algorithm.

Q: Differentiate.

A: we have to differentiate y=tan-1sin-1x

Q: Fill in the blank/s: Every real zero of a polynomial function appears as a/an __________of the graph...

A: Graph: Real zero of the polynomial can find if f(x)=0, when x is real number. Suppose x=6,7 are zero...

Q: Conversions with Square and Cubic Units. A hot tub pump circulates 3.5 cubic feet of water per minut...

A:

Q: Find all integers b so that the trinomial can be factored. x2 + bx + 15

A: We have to find all integers b so that trinomial can be factored: x2+bx+15 We know that factoring of...