Which of the following is the differential equation of the family of parabolas with vertex on the y-axis. with axis parallel to the x-axis, and with distance from focus to vertex equal to 'a' ? Ox(y')²=a O a(y¹) ²=x Oy(y')²=a O a(y) ²=y

Q: -3- q Find the average rate of change of f from x = -1 to x = 2 Give your answer as an integer or…

A: NOTE: Refresh your page if you can't see any equations. . as we can see, the point (-1,0) and (2,-2)…

Q: find f(x) if f'(x) = 9 / (1 - x2) and f(sqrt 3) = 4

A:

Q: 19. y = tanh(e*)

A: Given; y=tanh(ex).

Q: d²y dx² 1 dy y + x dx x² = 1

A:

Q: 4. For each of the following polynomial equations, determine if x = 1 is a root. (a) x³2x²-3x-2=0…

A:

Q: b/the limit of √1+x+1 lim X→0 X 02 O 1/2 O 0

A:

Q: families of curves straight lines with slope and x-intercept equal

A: Here is the solution:

Q: Show that the equation represents a circle by rewriting it in standard form. x² + y² + x = 0 Find…

A: Please see the below picture for detailed solution.

Q: B -2 C -1 2 -1 O -1 -2+ Graph of f' Let f be a differentiable function with f(1) = -2. The graph of…

A: Given that a function f is differentiable and f(1)=-2.  Also the graph of first derivative of the…

Q: Q8 09 A)Converge Absolutly 3 B) Diverge Conserge D) Conditionally Converge AWE A) Diverge B)…

A:

Q: dx *√x2 - 1

A:

Q: Evaluate the integral. (Use C for the constant of integration. Remember to use absolute values where…

A:

Q: B: Find y + 4 lim (x1)-(24) x²y-xy + 4x² - 4x

A:

Q: x²y=1+x is a solution to (x²y+k) dx + x³dy=0

A: Topic:- application of derivatives

Q: Find the area of one leaf of the rose r = cos(4θ).

A: Given: A rose r=cos4θ To find: The area of one leaf of the given rose.

Q: Real limits are important whenever you are measuring a(n) O independent O dependent Odiscrete O…

A: Solution: this is one liner answer Ans continuous

Q: 53. So 0 ex sin x dx

A:

Q: Find the x- and y-intercepts of the graph of the equation. (If an 9x² - y² = 144 (x, y) =…

A: The given equation is 9x2-y2=144 To find: we have to find the x and y intercepts of the graph.

Q: Q27) A)1+c B) Injx + c Sing+ Car X c)x+c dx D) xin x+c

A:

Q: i. f(x) = 1 1 – 2x

A:

Q: Question 8. Use the factor and remainder theorem to find the roots of this equation, f(x) = x³…

A: Given f(x)=x3+3x2-x-3

Q: 28. f(x) = e(et)

A:

Q: b/ by using Chain Rule, the derivative of - sin 2t) is g(t) = tan (5

A: Solution

Q: Eliminate the constant: y=c₁₂e³+₂x³ Oy"-6y +9y=0 Oy"-6y¹+9y=x Oy"-4y+3y=0 Oy" + 6y'+9y=0

A:

Q: Let f be the function given by f (x) = cos x - csc x. What is the value of f' (1) ? f' (1) is…

A: Finding f'(x)

Q: Find the amount of money accrued at the end of 8 years when $3000 is deposited in a savings account…

A: Formula for continuous compound interest  Where S=amount after t yearsS0=initial amountr=interest…

Q: Evaluate the integrals (4) fin (3x-2)dx

A:

Q: Find the value of $800 deposited in a bank at 10% interest for 10 years compounded in the following…

A:

Q: Which of the following is an integrating factor for the differential equation dy/dx-y=1? A 2e B In x

A:

Q: 2) Graph f(x): = asymptotes. x²+4x-12 x+2 You need to show your algebra when finding all intercepts…

A: 2). Given: fx=x2+4x-12x+2   As we know that; To calculate the x-intercept, we need to solve for x…

Q: Question 5 The curve y²-x²= -5x is a solution to the differential equation y'= (2x - 5)/2y A FALSE…

A: Given differential equation, y'=(2x-5)/2y So, 2ydy=(2x-5)dx

Q: 4. У y = 5. 6. y = x(x+1) 2x-1 f(x) = = at x = 0.6 1-3x+x² 13 2 at x = 0.77 1 (1+√1-x)²¹ at x = J x2…

A: We can find the slope of the given curve as below.

Q: Q5. Evaluate the following iterated integrals: 5 (2) L. f xy dx dy 3 π/2 3 (b) √²/² [²³: 3x sin xy…

A:

Q: Estimate the slope of the graph at the point (x, y). (Each square on the grid is 1 unit by 1 unit.)…

A: NOTE: Refresh your page if you can't see any equations. . as we can see from the graph, points…

Q: Let f be the function given by f (x) = x² + x³ - 3x²-x-cos f have the greatest slope? A (В C D x=12…

A:

Q: 1925 Γ ΑΙΞ OTH Q27) και D) diverge Use the Maclaurin series for e* to find the Maclaurin series for…

A:

Q: Sketch the graph of the function by first making a table of value H(x) = |3x| X -3 -2 -1 0 1 2…

A: We can solve this as follows:

Q: ]: Show that the following functions are linearly dependent f₁(x) = tanx, f₂(x) = -tanx, f(x) =…

A:

Q: Let y = f(x) = 2x² + 7x. Find the slope s(h) of the secant line of the graph of y = f(x) passing…

A:

Q: Which of the following is an integrating factor for the differential equation dy/dx=y=1?

A: Given: dy/dx-y=1. Find: Integrating Factor. Differential equation in form of dy/dx+Py=Q. Where P…

Q: 1. A company's sales (in dollars) appear to be increasing linearly. In In 2015, the company's sales…

A: Note: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question…

Q: a) Find the Laplace Transforms of i. t²u(t-1) te-3tu(t) cos² (wt)u(t). ii. iii.

A:

Q: y" +9y2 cos 3x + 3 sin 3x

A: Please see the below picture for detailed solution.

Q: y = q cos2x+c₂ sin 2x

A: To eliminate the arbitrary constants for the following equation.y=c1 cos 2x+c2 sin 2x

Q: Find the area bounded by the curve y = In x and the lines x = e, x = 2e and x-axis

A: formula used ∫lnx dx=xlnx-x+C

Q: A bank offers 8% compounded continuously. How soon will a deposit do the following? (Round your…

A:

Q: 8 A population grows at a rate P'(t) = 200t e where P(t) is the population after t months. a. Find a…

A:

Q: 4) w(x) = -3x - 4; Find w(7) 4-2, Find 6) g(n)=n² + 2; Find g(3)

A: (4) The function is given by wx = -3x-4 6) The function is given by gn = n2+2 To evaluate: The value…

Q: Use implicit differentiation to find d'y dx² d'y if 2x² - 3y² = 4. dx²

A:

Q: Which term of the arithmetic sequence 1, 10, 19, 28, ... is 2802

A: we will find the required.