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Q: differential equation: families of curves the given is, the trisectrices of maclaurin y^2 (a+x) =…

A: The given equation is; y2(a+x)=x2(3a-x).

Q: Integrate: dy/(-2-1.2y)=dx/(0.5+1.2x)

A: Given problem:- Integrate dy-2-1.2y=dx0.5+1.2x

Q: 6 Find the antiderivative of r' (t) = (est, e-7t, - - 2) Provide your answer below: r(t) = ()i +…

A: We can solve this as follows:

Q: Question Find the antiderivative of r' (t) = {√t, cos (4πt)) that satisfies the initial condition r…

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Q: Can

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Q: 5 (x-2)(x²-16) You must show all your algebra. 1) Let f(x)= A) Identify all intercepts.

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Q: Given the 3x3 matrix as follows: Row 1 (10,-47,62); Row 2 (-81,24,16); Row 3 (-17, 18, -14), find…

A: Given; Row 1 (10,-47,62); Row 2 (-81,24,16); Row 3 (-17, 18, -14)

Q: xy"-7xy+ 15y = 0

A:

Q: Using differentials, approximate the change in length of the space diagonal of a parallelepiped of…

A: To find out the change in length of the diagonal of the parallelepiped.

Q: Hi T Consider the parabola y = 8x - x². (a) Find the slope of the tangent line to the parabola at…

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Q: Q3/Use the Simpson's and trapezoidal rules with n=8 to estimate f*(* )dx and determine which rule is…

A: Given ∫04x1+exdx n=8

Q: 3x - 5 Consider the function f(x) = x2 + 3x - 10 Determine the number of discontinuities of f(x).…

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Q: Assume that (x,y)=(t,1+t) is a solution to the system: ax+by=1 cx+dy=2 Show that for all…

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Q: Determine the expression for F(x, y, z) given the function F(x, y, z) = 2x²y = xz² + 3y²z.

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Q: Problem 2: a. Find the differential equation by eliminating the arbitrary constants of the family of…

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Q: 23. Determine the particular solution of the following differential equation: y'= 2yx. Where:…

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Q: If 3x - 7 ≤ f(x) ≤ x²-3x+2 for x ≥ 0, find lim f(x). X-3

A: Given inequality:- 3x-7≤fx≤x2-3x+2

Q: The f'(5) for y = √3x² + 6

A: Solve the given for f'(5)

Q: 3. Determine whether the following function y = c₂x + c₂x³ + 2x²e² is a solution to the differential…

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Q: Set up, but do not evaluate, an integral that calculates the length of the curve y = 2/x+4 from x =…

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Q: Solve for the particular solution of the differential equation below when s=2 and 0=π/4 tanede +…

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Q: What is the 2nd derivative of x9 cos x

A: To find out the second derivative of the function.

Q: (1) Distance and Dot Products: Consider the vectors Compute ||ul| Compute |v|| Compute u.v= = = u =…

A:

Q: 6) Find all the zeros of f(x)=x³ –3x²+4x-2 and write f(x) in factored form

A: To find all the zeros of fx=x3-3x2+4x-2, and to write fx in factored form.

Q: Let f(x) = 3x² -6x+7. You must show all your algebra. is worth zero points. a) Find the axis of…

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Q: A given signal f(t)=2cos2t+ sin2t, it is (choose all the correct choise) contineous time signal…

A: We have to choose the correct option from the given option according to the given information

Q: 3. f(x + h) - f(x) h [Select] represents

A: Secant line is a name given to the line which passes through any two points on the given curve.

Q: Express C2 in the form of nCr.

A: Given problem:- Express C2 in the form of nCr.

Q: Find the differential equation by eliminating the arbitrary constants of the family of curves y = C₁…

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Q: 5. Suppose instead we had the following tax structure. 10x, .12x, .22x, f(x) = .24x, x ≤ 9,950 9,950…

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Q: Eliminate the constant: 2x 3x =c₂₁e²x + c₁₂e³x Oy"-y'-6y=0 Oy"-5y'+6y=0 Oy"+y'-6y=0 Oy"+ 5y'+6y=0

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Q: r(t) = (8tet - 6)i + (sin(3t) − 2)j + (4 ln(t + 1) + 5)k. dr (a) Compute (0) and -(0). Show your…

A: Concept: Putting the value of t=0 in the vector we will get the value of r→(0) and r→'(0)  Then…

Q: Identify whether the limits of the following does exist or not. If yes, find the limit and if not,…

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Q: Determine if the pairs of vectors below are "parallel", "orthogonal", or "neither". a = (-1, 1, -2)…

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Q: Q26 Sasha is trying to bound the error of her M10 approximation of S f"(0) = 0 and f"(T) = 0 and so…

A: We have to find part a,b and c .

Q: 7. f(x)= = x² cos²x sinx

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Q: 4. Find the derivative of the following functions 1 a) f(x) = 2x¹ − 5x³ + x² − 7x + 12 - b) f(x) —…

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Q: 3. Consider the two lines: z = 1+ 2t, y=-3+4t, z=2-2t and z=2+ 4s, y = 88, 2 = -48. (a) Show that…

A: As per our guidelines we can answer only 3 subparts of the given question so kindly repost the…

Q: Sketch a possible graph of a quadratic function which has two real roots (one positive, one…

A: Here, suppose the quadratic equation is: y=px2+qx+c Given that it passes through (0,-4).

Q: 2. Evaluate the following and give the exact value: π/2 cos y are the (sin(y + 7) dz [** dx dy

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Q: yex+ydy = dx

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Q: Create 3 FIRST ORDERED LINEAR differential equations with the standard form  and its IF and and show…

A: Let us consider three first order differential equations: a. dy/dx+y=0 b. dy/dx +y=x  c. dy/dx +y=x²…

Q: 5) Use the fact that 6i is a zero of f(x)=x³-2x²+36x-72 to find the remaining zeros.

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Q: X = T X= O continuous from the right O continuous from the left O neither (smallest value) O…

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Q: Question 9: 3x - 4y + 20 = 0 2y + 3x + 8 = 0

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Q: Subject: Differential Equation Use HOMOGENEOUS DE. Please have a clear and detailed solution. Thank…

A: The given equation is; 3(3x2+y2)dx-2xydy=0 Repost the next questions.

Q: f(x)=square root of 23x-3 simplify the expresion f(x+h)= simplify the diference quotient f(x+h)…

A: We will find the required.

Q: Use cylindrical shells to find the volume of the solid generated when the region enclosed by the…

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Q: 1.4.33. At the beginning of a study of individuals, 15% were classified as heavy smokers, 30% were…

A: Let, D be the event of death of the participant.Also, let H= event that the participant is heavy…

Q: 2. Let A = a₁ + a2j + a3k and B = b₁i + b₂j + b3k. Then (A × B) . j is equal to a) a2bვ — a3b2 b)…

A: A=a1i+a2j+a3k B=b1i+b2j+b3k.