Determine the appropriate rotation formulas to use so that the new equation does not contain any xy-terms. 11x² + 12xy +11²-5=0 *** Enter the appropriate values to complete the rotation formulas. Use the smallest positive angle of rotation. x=x-²y=x+0 (Simplify your answers, including any radicals. Use integers or fractions for any numbers in the expression Rationalizes all denominators) x'

Q: Use the Ratio Test or the Root Test to determine whether the following series converges absolutely…

A:

Q: Let (a) (b) (c) f(x) = log (2 x² + 3) -log(5) - 6 f(1) = The slope of the tangent line to the curve…

A:

Q: Find the derivative of the function by the limit process. g(t)= t3+5t St g'(t) = Submit Answer

A:

Q: Given that the graph of f(x) passes through the point (8,8) and that the slope of its tangent line…

A:

Q: Find the average rate of change of the function over the given interval. f(t) = 2t² - 1, [3, 3.1]…

A: Given problem :- Find the average rate of change of the function over the given interval. f(t) = 2t2…

Q: The function f(x) = 2x³ – 36x² + 192x - 3 has two critical numbers. The smaller one is x = and the…

A:

Q: 4. If = tanx, show that the relation y' = 1 + tan²x.

A: Let's solve.

Q: Find all relative extrema of the function. Use the Second Derivative Test where applicable. (If an…

A: f(x) = x3 -3x2 + 3 here we have to find the relative maximum and minimum point  from second…

Q: Consider the system of differential equations dx dt x(t) y(t) -2y Convert this system to a second…

A:

Q: Find the derivative of the function. f'(x) = Find f'(x) when x = 2. f'(2) = Give the slope of the…

A:

Q: Use the Limit Comparison Test to determine convergence or divergence. 3n²+ n=1n²+5n²-7 ∞ Σ Select…

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

Q: 1800 function Find the derivative of the following x3 F(x) = = 1²12²₁ = X5 (2t - 1)³ dt using the…

A:

Q: xydx - (x^2+3y^2)dy =0 Solve for general solution .(show complete solution)

A: Given, xy dx - (x2+3y2) dy =0

Q: 11. Sketch the graph of the following function. f(x)= x³-6x² - 9x A x- and y-intercepts

A:

Q: Find the derivative of the function. y = sin (7) + √sin (6 x) y'(x) =

A:

Q: use the vectors in the figure at the right to graph the following vector. V+W Choose the correct…

A: Given figure:-

Q: A farmer wants to fence a rectangular area of 242 square feet next to a river. Find the length and…

A:

Q: 1. Find the Taylor series for f(x) = cos x centered at a = 4. Express your answer in sigma notation.

A:

Q: Find the equation of the parabola described below. Find the two points that define the latus rectum,…

A:

Q: - 1. Find the derivative of the following functions. f(x) = (Inx)* a. b. I (x) = x43-2x

A: Note:As per our guidelines we are supposed to answer only 3 subparts if there are multiple subpart…

Q: Find the limit of the following sequence or determine that the sequence diverges. 22 {(1-²)} n…

A:

Q: hat substitution will be the most helpful for evaluating this integral? A. X= B. x= 1 8 1 sin 0 tan…

A:

Q: 5. The motion of the shock absorber is modelled by the function, h(t) = e-0.5t sint. 3 a) Identify…

A:

Q: What is the equation of the standard hyperbola with vertices at (0, ±a) and foci at (0, ±c)? Choose…

A:

Q: Use the Divergence Test to determine whether the following series diverges or state that the test is…

A:

Q: Use the Root Test to determine whether the series converges. Σ k=1 1 In (k+14) Select the correct…

A:

Q: 8 U 1.5 -1.5 e dx

A:

Q: Find an equation of the line tangent to the curve at the point corresponding to the given value of…

A:

Q: Water is leaking out of an inverted conical tank at a rate of 11700 cubic centimeters per min at the…

A: Let's find rate of water is being pumped into the tank.

Q: If f(x) = 2x² - 2x + 3, find f'(3). Use this to find the linear approximation to f(x) at z = 3. The…

A: We will find the required.

Q: dr Let A be the area of a circle with radius r. If dt 5, find dA dt when r = 4.

A: We will find the required.

Q: plane. Use polar coordinates to find the volume of the solid below the paraboloid z = 18 - 2x² - 2y²…

A:

Q: Use the Root Test to determine if the series converges or diverges. k k + 1 (K+1)* 4k Σ k=1 Select…

A: The objective of the question is check the converges or divergence of series and choose the correct…

Q: y' = = CSC x - y cotx

A: The standard equation of first-order linear differential equation is: dydx+Pxy=Qx The solution of…

Q: Which pattern of numbers represents a linear equation? 2, 4, 8, 16, 32, 64 1, 3, 1, 3, 1, 3 3, 9,…

A:

Q: Use the Ratio Test to determine if the series converges. M8 k=1 %*x Select the correct choice below…

A: Ratio Test : Consider the given series ∑k=1∞ ak .and L = limk→∞ ak+1ak , then(i)If  L<1, then…

Q: Using the Runge-Kutta method of order 4, find y for x = 0.1, 0.2, 0.3 given that dy/dx = xy + y²,…

A:

Q: Expand log, 16x log, 16+ log4 x 2+ log4 x Condense In y-2 ln R In y-In R² In R² Use the properties…

A: Note: According to our expert guidelines only first three subparts are to be answered kindly repost…

Q: 30. A trough has ends shaped like isosceles triangles, with width 3 m and height 4 m, and the trough…

A:

Q: 1. Determine the value of a so that A= 2i +aj +k and B= 4i-2j-2k are perpendicular a. 1 unit b. 2…

A: 1. Determine the value of a so that A= 2i +aj +k and B= 4i-2j-2k are perpendicular. We have, A= 2i…

Q: Write an equation for the ellipse Q

A: solution is given below

Q: (27 - ㅎ) (2급 + 글 이효리 17 U O 112-10 U 4u 4 u - 2 U 2 2

A: Topic:- application of vector algebra

Q: A searchlight is shaped like a paraboloid of revolution. If the light source is located 4 feet from…

A:

Q: Solve the initial value problem. d²s_ dt² 34) -128cos (8t), s (0) = 6, s(0) = 8

A:

Q: Answer the following True or False: If p(x) and g(x) are polynomials such that p(4): O True O False…

A:

Q: 20. Verify by differentiation that finx dx = x(In x-1) + C, then use appropriate changes of…

A:

Q: e. f. f(x) = cot(-) X f(x) = sin(x³ - x)

A:

Q: Find the breakeven point of the following functions: C(x)= 4x +4 R(x) = 6x Approximately (2, 12)…

A:

Q: Problem 4. A point P is often identified in mathematics using the notation P(x, y) to reference a…

A:

Q: Second Derivative Test 1. Find the first derivative of the function g(x) = 4x³ - 42x² + 144x. g'(x)…

A: