Use the discriminant to determine all values of k which would result in the equation -x^2+kx-25=0−x  2  +kx−25=0 having equal roots.

Q: verify the following identites 2005 √x = cos(2x-1) 0<x<1

A: To show that, 2cos-1(x)=cos-1(2x-1)            ,                0≤x≤1

Q: xp (x) soo xu18+tb/22

A: Since multiple questions are asked, I am answering first question

Q: a/the derivative of the following function is y=x²-sin x

A: Solution )  y = x2 - sin x  Differentiate with respect to x  dy/dx = d/dx( x2) - d/dx ( sin x )  […

Q: Find the following matrix product, if it exists. 368 1 - 4 01 6 7

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Q: The differential equation y - 2y - 3x2=0 is linear and homogeneous. A FALSE B TRUE

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Q: Q2 is The sequence A) strictly increasing C) eventually strictly increasing B) strictly decreasing…

A: We have to check whether the sequence is increasing or decreasing.  For this we will calculate an+1…

Q: y=2coshx; y"-y=0 y'

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Q: c. y=234* dx In² (2)ln (3).34*.234*+ d. [(z)=nz+z² I'(z)= +2x+1

A: Rule for differentiation  d(ax)/dx  = ax ln(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: dz dr sin (r) cos(r) cos (z) sin(z) = 0

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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: Convert each fraction to a decimal and to a percentage. Round to the nearest thousandth for the…

A: Since you have posted question with multi-parts, as per guidelines we'll solve only first three…

Q: 2. Explain what it means to say lim f(x) does not exist. Again, be sure to explain the concepts!!

A: Given :limx→3fx does not exist

Q: If you know that lim f(x) = x

A: Topic:- function

Q: The pmf of the amount of memory X (GB) in a purchased flash drive is given as the following. 1 2 8…

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

A:

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

A: Here is the solution:

Q: y" − 6y' + 25y = 48 sin 4x + 84 cos 4x

A: See this diff equation solution in below with details.

Q: y=2x+ce; y'-y = 2(1-x)

A: As we know that; The Sum/Difference rule: f±g'=f'±g' The Power law: ddxxn=nxn-1 And the common…

Q: y't y X -0 ✓g (0) =) J

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Q: Is that 1 dollar per month or 1 months per dollar

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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: 3x fe³x dx

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Q: b/ For the following function the range is y = √4-x

A: Topic = Function

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

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Q: 9) g(x)=-x³-3x²; Find g(-1) 11) h(n) = 2n - 2; Find h(−3n) in) = -2n² +4+2n; Find g(y - 1)

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Q: Suppose y = sinh Then 1 sinhz z = sin(y) Oaresinh(y) Using implicit differentiation, dy dz (Enter…

A: NOTE: Refresh your page if you can't see any equations. . the given function is here we can write

Q: Which of the following is the differential equation of the family of parabolas with vertex on the…

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Q: 3 =-=—= x³. - 4x² + 16x + 14 with tangent lines parallel to the line 20x - 5y = 2. Find all points…

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Q: Is the sequence an = 9n Your answer is (input yes or no) if your answer is yes, its first term is…

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Q: 7.    Evaluate the integral, which has irreducible quadratic factors. 7 (x − 7)(x2 + 2x + 9)  dx…

A: Given  ∫(x-7)(x2+2x+9)dx

Q: 35-38 Use continuity to evaluate the limit. 35. lim x√20-x² 36

A: (35).    Use continuity to evaluate the limit of: limx→2 x20-x2

Q: y = c x2

A: Topic = Derivative

Q: What is the general solution of the differential equation y" - 2y +y=0? A B © (D) y=C₁₂e¹+C₁₂xet y=C…

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Q: -3x тебезх GS: y = (₁ e ²x DE y + y' - 64=0

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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: What is the general solution of the differential equation y"-2y'+y=0? Ay=C₂₁e²*+C₁₂xet (B) There is…

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Q: Q2) Solve using Laplace Transform y" + 2y' +5y = et sin t where y(0) = 0, y'(0) =

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Q: Evaluate the integrals

A: Given: ∫x2exdx

Q: The mean of the normal approximation to the binomial distribution is μ = pn. True False

A: The mean of the normal expression to the binomial distribution= E[x] = np Where, n = Number of…

Q: Suppose that functions f and g and their derivatives with respect to x have the values shown to the…

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Q: Eliminate the constant: y=x+c₁e¹+c₂ ·c₁₂e²+ c₂e²² Oy"-y=0 Oy"-y'=x Oy"-y=-x Oy"-y'+y=0

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Q: 3. If x³y-xy³ = 2 find y' and y" at x=1.

A: Given data:- The given value of x is 1. x3y-xy3=2    ----(1)

Q: 10. 2 S² (y - 1X(2y + 1) dy

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Q: Let L₁ : x=1+t, y=−2+t, z = 2t; L₂ : x=2+s, y=3-s, z = s If the lines are skew, find the equations…

A:

Q: d dx [f(5x)] = x², then f'(x) = ?

A: Derivative

Q: 3. If f(x)=x²+ 10 sin x, show that there is a number e such that f(c)- 1000.

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Q: 1. What will you get if you add C. A. 3 B. 13 A. 16/12 13 3 In 2/3 + 14 2. What is the sum of 4 2/12…

A: Let's solve question 1 and 2.

Q: 1. Sketch the graph of the function -1, f(x) = √25-x², (x - 5, x ≤-5 -5 < x < 5 x ≥ 5

A: We have to sketch the graph of the function.