4. S dy y³-2y²

Q: section to answer the questions below. -4x-8y-36=0 What type of conic section is the equation?…

A: We will make the perfect square of the given equation.

Q: Consider points P(-1, 3), Q(1, 7), and R(-4, 9). (a) Determine the unit vector in the direction of…

A: The objective is to determine unit vector in standard form and as well as component form.

Q: = f(x) = ='(x) = L'ea 1 t²dt then

A:

Q: Which of the following grapins represents (x2}? + y + 47 = 25? - d 7 - 4 41 층 4 $ 4 2 .

A: The given equation is: x-22+y+42=25 First, draw the graph of the given equation.

Q: Use a graphing utility to graph the curve defined by the parametric equations x(t)=3t sint, y(t) =…

A:

Q: I. Find the solution set of the following. 2. 3x²+2x³7x² - 4x +2=0

A:

Q: Find the minimum value of the parabola using the following equation: f(x)=1/4(x+4)^2 +3 y = 4…

A:

Q: Verify the Divergence Theorem for the vector field and region: F = (3x, 5z, 3y) and the region x² +…

A:

Q: 6. (y -x + xy cot x) dx + x dy = 0 Answer: xy sin x = C + sin x - x cos. x.

A: We have to solve this question with exact formulation.

Q: 3. Determine the equation of the tangent to y = x² + 6x + 9 which has a slope of 6. Sketch the graph…

A:

Q: Consider points P(-1, 3), Q(1, 5), and R(-2, 8). (a) Determine vector PQ and express it in component…

A:

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

A:

Q: Analyze and sketch a graph of the function. Find any intercepts, relative extrema, points of…

A: For x-intercept , set y=0 For y-intercept , set x=0 . For inflection point , f''(x) =0 . Second…

Q: 3. Find the domain of f(x) = 1- 1 X X

A: We have to find the domain of f(x)

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: During the first year with a company, Finley was paid an annual salary of $56,000, with a 6% raise…

A: Given that, the annual salary is $56,000, the interest rate is 6% per year. Note that, the formula…

Q: Which of the following graphs represents (x-2)² + (y+4)² = 257 1. le - 4 - 7 . $ 4 2 2 2

A:

Q: Which linear equation is shown below? y = x/5 +2 y = 4x + 3 y = 5x + 2 y = 5x - 2 y = 5x + 4

A: To find out the correct linear equation which is shown in the graph below.

Q: The graph shows the depth of water W in a reservoir over a one-year period as a function of the…

A: Concept: The average rate of change : The average rate of change function explains how quickly…

Q: D Question 24 Suppose that P= f(t) is the population (in millions) of the country & years after the…

A: We can find the answer as below.

Q: ) cos(cos-¹(35)) ) sec(tan-¹(5)) csc(sin-¹(n)) ) cos ¹(cos(29°)) (4π) 5 =) sin ¹[sin ]]

A:

Q: This exercise uses the population growth model. It is observed that a certain bacteria culture has a…

A:

Q: H.w: Find the Fourier series for the following functions: 1- f(x) = 1+ 1- - 2x x 2x x -π < x < 0 0 <…

A: Fourier series of f(x) in the interval [a, b] is  f(x)=a02+∑n=1∞anCos2nπxb-a+∑n=1∞bnsin2nπxb-a where…

Q: 2) y = ex + e¯X, 0 ≤ x ≤ ln 2; x-axis 2

A:

Q: Find the points of inflection of the graph of the function. (Round your answers to three decimal…

A: The given function is f(x)=5sinx+sin2x, [0,2π]

Q: Evaluate ff (2x+5y+z) ds (2x+5y+z) ds where the surface S is given by S S: z=15-2x+3y, 0≤x≤1, 0≤y≤2.

A:

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

A:

Q: Given f(x)=√x + 2 and g(x)= x³, find ()(x) and write the domain of (x) in in interval notation.

A:

Q: Use part I of the Fundamental Theorem of Calculus to find each derivative, given the following f(x):…

A:

Q: The graph of a function f is given. Use the graph to estimate the following. y W. 2 3 (a) All the…

A:

Q: A polynomial P（x) of degree seven has zero of 2-i and 4+i, the graph of P(x) has how many x-ints

A:

Q: evaluate the integral   sigma 2-0 (2x2+1)dx using FTC approach

A:

Q: What is the inverse of the function f(x) = 3(x + 2)²-5, such that x < -2? OF-¹(x)=-2+. 3 5…

A:

Q: Determine whether the following series converges. Σ(-1)+1 + 1 Ink k² 8 k=1 Let a 20 represent the…

A:

Q: IV. Fill in the blank to make each statement true. Use correct notations. 3. If a polynomial…

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: Solve the following differential equations by using appropriate method or substitutions. 1) y' -…

A: As per Bartleby guidelines we only give first question answers. Please repost for other parts.

Q: Lionfish are considered an invasive species, with an annual growth rate of 67%. A scientist…

A:

Q: K Write an equation for the ellipse. Type the left side of the equation in the box below. Q

A:

Q: 1. S xdx x²+6x+13

A:

Q: 4. State the domain and range of the inverse of the following function y=2√x+1,

A:

Q: Which Law states that the quantity demanded will increase as the price of the product decreases? Law…

A:

Q: Consider the function f(x) whose second derivative is f''(x) = 8x + 6 sin(x). If f(0) = 2 and f'(0)…

A: Given  f''(x) = 8x+6 sin(x),  f(0)=2,  f'(0)=4 We have to find the value of f(3).

Q: Consider points P(-1, 3), Q(1, 5), and R(-3, 9). (a) Determine vector 2PQ- 2PR and express it in…

A:

Q: Find an equation for the ellipse whose vertices are at (-8-2) and (0-2), and focus is at (-2-2)…

A:

Q: 6. Sketch y = xe-*. First derivative A

A:

Q: dx (a²+x²)z 1. S- 3

A: We can a valve the given integral by using the substitution x= a tanθ.

Q: 3. S 4 dx x3-4x²+8x

A: The given integral is; 4/(x3-4x2+8x).

Q: Evaluate the limit: lim 5 = x → 2

A:

Q: 3) Find the sum of the series (x-8) as a function of x on the domain, and say what the domain is.…

A: