Identify the equation 23x2 + 26√3xy - 3y2 - 144 = 0 without applying a rotation of axes.

Q: Fill in the blank/s: The square root property states that if u2 = d, then, u=___________ ?

A: Given: The square root property states that if u2 = d The objective is to find u

Q: Derivatives Find and simplify the derivative of the followingfunctions

A: Given: y=w4+5w2+ww2

Q: Use symmetry to evaluate the followingintegrals.

A: Given: ∫-22x9 dx

Q: Solve for x accurate to three decimal places   ln x = 2

A: Given: lnx=2 we know that if lnm=n then m=en similarly, lnx=2x=e2x=7.3890x≈7.389

Q: Find an equation of the line that is tangent to the graph of f and parallel to the given line. Funct...

A: Given that y'=f(x)=1x2-1     -----(1)Equation of the line is x+2y+7=0       -----(2)⇒2y=-x-7⇒y=-x2-7...

Q: Find the horizontal asymptote, if there is one, of the graph of the rational function: f(x) = (-2x +...

A: Since the given function is f(x) = (-2x + 1)/(3x + 5) Here numerator= (-2x + 1), and denominator= (3...

Q: Use the information to determine the limits.

A: limx→cfx=∞  &  limx→cgx=-2   a). limx→cfx+gx=limx→cfx+limx→cgx=∞+-2=Does not exist   b). limx→cf...

Q: Limits Evaluate the following limits using Taylor series.

A: We know that the Taylors series for the function  tan-1(x)  is,   tan-1(x) = ∑n= 0∞(-1)n.x2n+12n+1 =...

Q: Use the FOIL Method to Multiply: (7x - 5)(4x - 3).

A: 7x-54x-3

Q: The lateral surface area S of a right circularcone is related to the base radius r and height h by t...

A: Since, the lateral surface area S of a right circular cone is related to the base radius 'r' and hei...

Q: Identifying symmetry in functions Identify the symmetry, if any, in the following functions. a. ƒ1x2...

A: Using, For symmetry about the Y-axis,  if the equation is the same when we replace x with -x. And Fo...

Q: Show that the point (x0 , y0) closest to the origin on the line ax+ by =c has coordinates

A: Distance between x0, y0 and origin (0, 0) is, D=x0-02+y0-02D=x02+y02D2=x02+y02f=x02+y02           .....

Q: Solve the rational inequality: x/(x + 2) ≥ 2 and graph the solution set on a real number line. Expre...

A: Given information: The rational inequality is xx+2≥2. Calculation: Solve the inequality. xx+2≥2xx+2-...

Q: Find all functions f having the indicated property. The tangent to the graph of f at the point (x, y...

A: The tangent to the graph of y=fx at the point x, y intersects the x-axis at x+2, 0.   Slope of the t...

Q: The decimal equivalent of the given binary number 110111.011 is, O 67.625 O 45.25 O 75.875 O 55.375 ...

A:

Q: Find the limit, if it exists. If the limit does not exist,explain why.

A: Given information: limx→ 0.5-2x-12x3-x2

Q: Find the tangent and normal to the curve y=2e-x/3 at the point where the curve meets the y-axis

A:  

Q: Write the complex number 8(cos 60° + i sin 60°) in rectangular form. If necessary, round to the near...

A: Given, 8cos 60°+isin 60°

Q: Suppose limx →c ƒ(x) = 5 and limx →c g(x) = -2. Find lim x →c ( ƒ(x) + 3g(x))

A: Given:limx→c fx=5limx→c gx=-2limx→cfx+3 gx=?

Q: A company produces a spherical object of radius 25 centimeters. A hole of radius 4 centimeters is dr...

A: Given, A company produces a spherical object with a radius of 25 centimeters. A hole with a radius o...

Q: Determine whether the function is even, odd, or neither. Then find the zeros of the function. Use a ...

A: A function is said to be even if f(x)=f(-x) A function is said to be odd if f(x)=-f(-x) If above bot...

Q: Use the graph to determine : a. intervals on which the function is increasing, if any. b. intervals ...

A:

Q: Find the exact value of the expression sin 7π/4. Do not use a calculator.

A: Given:  sin 7π4

Q: Find the Taylor series generated by ƒ(x) = 1/x at a = 2. Where, if anywhere, does the series converg...

A:

Q: Mary has $3.00 in nickels, dimes, and quarters. If she has twice as many dimes as quarters and five ...

A: Let q be the number of quarters. Given that she has twice as many dimes as quarters. That is, Number...

Q: Make a graph of the functionƒ(x) , for x ≥ 1. Be sure to include all of the evidenceyou used to arri...

A: Given:  The function fx=∫1xdtt for x≥1, To sketch: The graph of fx for x≥1,

Q: Find the quadratic approximation to ƒ(x) = 1/(1 - x) atx = 0.

A: Given,  f(x) = 1/(1 - x) at x = 0

Q: Write the partial fraction decomposition of the rational expression.

A: x2x-12x+1 It can be written as, x2x-12x+1=Ax-1+Bx-12+Cx+1  →1 On simplification, we get ⇒x2x-12x+1=A...

Q: You need to mix a 6% peroxide solution with a 9% peroxide solution to obtain 36 ounces of an 8% pero...

A: Let x=ounces of 9% peroxidey=ouncesof 6% peroxideTotal ounces=36

Q: Find the volume of the parallelepiped shown having    u = 3i − 5j + k ,            v = 2j − 2k and w...

A: Givenu=3i−5j+kv=2j−2kw=3i+j+k

Q: a + (-a)=______ : The sum of a real number and its additive_______ is______ , the additive________.

A: Given- a+-a To complete the statement- The sum of a real number and its additive_______ is______ , t...

Q: 147–148 - Circles and Lines Find equations for the circle and the line in the figure. 147. 148. (-5,...

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any ...

Q: Determine whether the equation 2x + y2 = 6 defines y as a function of x.

A: We have to determine whether the equation 2x+y2=6 defines y as a function of x . We know that for y ...

Q: solve for y. ln (10 ln y) = ln 5x

A:

Q: Simplify exponential expression. (-30a14b8/10a17b-2)3

A:

Q: Discuss the continuity of the function on the closed interval.                             Function ...

A: The given function is said to be continuous in a closed interval [a,b] if it is continuous in (a,b) ...

Q: Find the derivatives of the following function f(x) from the first principles x4+4

A:

Q: Solve the triangle A = 42°, a = 63, b = 57. Round lengths to the nearest tenth and angle measures to...

A: Only one obtuse scalene triangle exists for the given dimensions. Use the sine formula to determine ...

Q: A mathematics professor recently purchased a birthday cake for her son with the inscription Happy (2...

A: Given expression 252·234÷214 Simplify the product 252·234 252·234÷214=252+34÷214252·234÷214=2104+34÷...