Use completing the square in order to put the followingation into te of the standard quadratic surface forms. Then state the graph's orientation, its center or vertice(s) and how the graph is stretched in the x-, y-, and z-directions. 4x² - 4y² +9z² - 8x +36z+ 4 = 0

Q: (c) Check that your solutions t substituting the expression 63. xy + 2x + 3x² = 4

A:

Q: Find the critical points of the function f(x) = x²-25 x²+x-30 Use a comma to separate multiple…

A:

Q: Determine whether the function's vertex is a maximum point or a minimum point and find the…

A: Answer is Vertex is maximum point

Q: Find x. Round your answer to the nearest tenth of a degree. 15 x 12

A: As we know from the trigonometric ratios:…

Q: A curve with polar equation 31 7 sin +36 cos 0 represents a line. This line has a Cartesian equation…

A: NOTE: Refresh your page if you can't see any equations. . use the polar to cartesian substitution

Q: Solve: dy/dx = −(y − 27) ^2/3 , with y(0) = 91. Express your answer as y=f(x).

A:

Q: Find the area under y = x(e)^(-x)^(2) for x > 1

A: The given curve y=xe-x2 We have to find the area under the curve for x>1.

Q: We conclude by showing the max and minimum points. maximum (2,26) minimum (1,1) maximum (-2,-26)…

A: d dx(xn)=nxn-1for critical points  put f'(x)=0fot critical values of x  if  f''(x)>0  minimum and…

Q: If z = sin (₁) functions of u and v. дz ди дz Əv and x = = In(u) and y = v4, find the following…

A: Topic = Derivative

Q: Consider the point (음, %) Fort 1. Find (sc (t) A).& 10 22-1 B) 은 C) - 음 이응 Ja 100 0)-10 F) - g) none…

A:

Q: 1. Find the exact value of the iterated integral: 11₁ If sin(x²)dxdy 0 y

A:

Q: dz Given z = xy + sin(xy2), with x(t) = 2t + 1 and y(t) = -t², find dt t=1

A:

Q: 8 2 √√8x |8x – x dx 0

A: Given ∫088x-x2dx

Q: The table below shows the six basic solutions to the following e-system. 2x₁ + 3x₂ +5₁ = 18 4x₁+3x2…

A: Solution : From the given table it is clear that the pairs of (x1, x2) are

Q: A driver of a car stopped at a gas station to fill up his gas tank. He looked at his watch, and the…

A: Given : A driver of a car stopped at a gas station to fill up his gas tank. He looked at his watch,…

Q: Find a power series representation for the function. (Give your power series representation centered…

A:

Q: Find the equation of the tangent plane to at the point (0, 5, 34). z = z = e² + y + y² +3

A: The given equation is; z=ex+y+y2+3 Point (0,5,34).

Q: Use Newton's method to find the slope of the tangent to the curve defined as y = -5x² + 2x-7

A: Let's say the point of contact of the curve and the tangent is at x = a. According to newton's…

Q: 6. Set up and evaluate a triple integral in cylindrical coordinates that will yield the volume of…

A:

Q: +00 2 e. Se Sexx²dx 0

A:

Q: Consider the vector field Vf where f(x, y) = Evaluate 557² 2 + 2xy + 3y². Vf. dr along the curve C:…

A:

Q: In (ecos5x) dx

A: Given query is to find the integral.

Q: Use a geometric series or the nth-Term Test to determine the convergence or divergence of the…

A:

Q: If r²y - 12y, calculate dy dr using implicit differentiation.

A: According to company rules.. I need to solve first question... Please repost second question

Q: Show that the function f(t)=√t+√√1+t-4 has exactly one zero in Solve the equation √t+√√1+t-4 = 0 to…

A:

Q: Why can we pull the 2 out front and change the bounds of the integral from -2 to 2 to 0 to 2…

A: Substitute y^2=u then integrate with respect to u

Q: 4. Let (n) be an increasing sequence of real numbers. Assume, furthermore, that (x₂) has a…

A:

Q: If I cut a Pizza into 2 equal pieces, How long is the crust(circum.) is each piece??? Smidget Radius…

A:

Q: n = 1 10" 4 +97

A: To determine the convergence or divergence of the given series.∑n=1∞ 10n4+9n

Q: State where the power series is centered. Σ n = 0 (-1)^(x-4)2n (2n)! Submit Answer

A:

Q: Let f(x) = 2x + x 100

A:

Q: Evaluate the limit: lim, +∞ (e² + x) =

A:

Q: (9) Determine whether the improper integral converges or diverges. Evaluate the integral if it…

A: “Since you have posted a question with multiple sub parts, we will provide the solution only to the…

Q: Find the critical points of the function x3 ² + 2x² - + 2x² - 12x. 3 Use a comma to separate…

A: for critical points  f'(x)=0d dx(xn)=nxn-1

Q: 4. Find the critical points of the following function 2 f(x) = =+ lnr, I>0. I

A:

Q: 15 4 12 x

A:

Q: Write each equation in polar coordinates. Express as a function of t. Assume that r > 0. (a) y = -9…

A: NOTE: Refresh your page if you can't see any equations. . use the cartesian to polar substitution…

Q: Solve for Higher Order L.D.E

A: To solve the given higher order differential equation

Q: d (a) / ₁ (t²-1)²dt. -10 -10 (b)/(t²-1)²dt. (c) d dx 32² -10 3x² (t²-1)² dt. d (d) — (t²-1)²dt. dx…

A:

Q: Write the differential dw in terms of the differentials of the independent variables. 3x+y u+z…

A: We have to find differential.   Formula used -  d(u/v) = (vdu - u dv)/v2

Q: 1.1. Evaluate the following integrals: a. ²x dx b. (2x+3)√2x-1 dx

A:

Q: Problem 4. (a) What is a convergent sequence? Give an example. (b) What is a divergent sequence?…

A: Convergent sequence :-A sequence is said to converge to a finite number

Q: 8. Find an equation of the parabola with vertex at (-1,4) and y=5 as the line of directrix. Draw the…

A:

Q: 1. Evaluate the following integrals: b. I sin(4x) cos² (3x) dx

A:

Q: At what point (x, y) is the function f(x) = -4x - 9 closest to the point (3, 1)? Enter an exact…

A: To determine the point on the function which is closest to (3, 1)

Q: Determine if the following series converge or diverge. If convergent, find the sum. You must show…

A: a.

Q: Suppose that f(5) = 1, f'(5) = 2, g(5) = -7, and g'(5) = 4. Find the following values. (a) (fg)'(5)…

A:

Q: Try again Practice similar r answer is incorrect. 2 attempts remaining. the equation of the tangent…

A: We have to find the equation of the tangent plane from the given information

Q: Consider the following. f(x, y) = By y. y=3x-x² 0 D y=x (a) Express the double integral "fb" PLC (2,…

A:

Q: O TRIGONOMETRIC IDENTITIES AND EQUATIONS Proving an identity using fundamental trigonometric…

A: