12.Find a quadratic polynomial if sum and product of zeros are given (i) 9/20, 1/20 (ii) 2,√3

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Q: 49. Your new puppy needs a rectangular dog run outside. You have 50 feet of fencing and plan use the…

A: Answer to the question number 49 is given below.     We want to find the maximum area.

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Q: Perform the following steps to find the maximum area of the rectangle shown in the figure. C: 3 A(x)…

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A: The given acceleration function:at=t+4.Also, if v is velocity function, then v0=6.The given interval…

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Q: 1. Given the function F(x)= 3x-7, x < 4 (x² - 2x, x ≥ 4 I. lim F(x) exists. X-4 (mumixat endorf a)…

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Q: Page 5 of 8 W Previous Next Ask My Instructor Submit Assessment P64107 Weight:1 5) If 0 is an angle…

A: Solution ) cot θ = - √3 Cot π/6 = √3 In second quadrant  cot θ = ( π/2 + π/6) = - √3 In second…

Q: Evaluate 1. 2. the integrals: (1-cos²x) 3/² dx Se* sec³ e* dx

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Q: Write each vector as a linear combination of the vectors in S. (If not possible, enter IMPOSSIBLE.)…

A: Solution: Given: S={(2 ,-1, 3), (5, 0, 4)} (d) u =(2, 1, -1)

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Q: 4 B 6) Find the value of cot t if cos t = a) √/3 O b) 01/12 c)0 V₂ d) 0 1 Previous Next - and T < t…

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Q: Write the parametric equations for the given vector equation: [2 [x, y, z] = [11,2,0] + t[3,0,0]

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Q: Refer to functions m and q. Evaluate (qm) (x) and write the domain in interval notation. Write your…

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Q: The acceleration function (in m/s2) and the initial velocity v(0) are given for a particle moving…

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Q: Q2) Find the area of the surface generated by revolving the curve y=√4-x² about y-axis.

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Q: If the vectors a and b are such that a = kb where k is a positive scalar, then the vectors a and b…

A: Given statement: If the vectors a and b are such that a=kb where k is apositive scalar, then the…

Q: The acceleration function (in m/s) and the initial velocity v(0) are given for a particle moving…

A: This question is based on application of integration.

Q: 6. Let A= (1, 2, 0), B = (3, 4, -1), and C= (4, 5, 2). Find the exact value of the distance between…

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Q: 2x - 3 е 2 -dx,

A: As per our guidelines we only solve one question and rest of the question will be reposted.

Q: Ex: Find the work done by the vector field F = (y-x²)i + (z - y²)j + (x-z²2)k Over the curve r(t) =…

A: Given: F=y-x2i+z-y2j+x-z2krt=ti+t2j+t3k

Q: If d is a positive and not perfect square integer in [6,8]. Assume that √d = [ao; a₁, a₂, 3, 1, a5]

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Q: g. h. √(x² [x³e³dx x² - 2x + 1)e2x dx

A: The given integrals are;  g) (x2-2x+1)e2x h) x3ex.

Q: A conical tank has height 3 m and radius 2 m at the base. Water flows in at a rate of 2 m³/min. 3…

A: Given: Rate of inflow of water, dVdt=2 m3/min Height, h= 3m Radius, r=2m

Q: Find a result by using homogenous for (x³ - 3x²y)dx-(x3³ - y³)dy = 0

A: This question is based on solution of Homogeneous differential equation.

Q: 2. Letf: R→R be defined by f(x) = 4x -x2. Let B be the range of f. (a) Find B. (b) Fins f-1([0, ∞…

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Q: 13. Σ n=0 + 1 20 (−1) (-1)") 5"

A: I am going to solve the problem by using some simple calculus to get the required result of the…

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Q: For the function below, find (a) the critical numbers; (b) the open intervals where the function is…

A: Given:  f(x)=12x3−63x2−72x+6 To find the critical point evaluate f'x=0

Q: u. V. x + 3 2x³ - 8x S - dx x² dx (x − 1)(x² + 2x + 1)

A: Since you have posted multiple questions. As per guidelines we"ll solve only first first question.…

Q: dy Solve cos x(e2y - y) - dx = e' sin 2x,

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Q: UPVOTE WILL BE GIVEN! ANSWER CORRECTLY, DETAILED AND CLEAR. People are searching a wooded area for…

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Q: Given the following initial value problem: dy/dt- yt²-1.1y where y(0) 1 The solution at t 0.75; Le…

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Q: 5. If 90° << 180° and cos=-, find cos 20. O 0-16 O-/ O 2600 25

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Q: R is the region bounded by the functions f(x) = sin(x) + 1 and g(x) = 2x/π + 1. Find the area of the…

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Q: Prove the statement using the ε, δ definition of a limit. limx→3 (4x − 5) = 7

A: To solve the given problem. limx→3 (4x − 5) = 7

Q: Simplify the algebraic expression. x² + 2xy+y2 y x X x y x²+2xy+y² X x y y x

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Q: For x = - 5, determine whether f is continuous from the right, from the left, or neither. (graph…

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Q: Finding nth Partial Sums In Exercises 1-6, find a formula for the nth partial sum of each series and…

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Q: Use MATLAB to PLOT and CALCULATE the following integrals. Label the x and y axes of the plot. -1…

A: We have to use MATLAB to PLOT and CALCULATE the following integrals.

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Q: (15) Use the divergence theorem to evaluate SSF. ds, where S 3 F(x, y, z) = and 5 is the surface of…

A: To evaluate the given integral using divergence theorem.

Q: 6. The decimal expansion of 135/ 225432 will terminate after how many decimals?

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Q: 1 Estimate the error if P3(x) = x - x³/6 is used to approximate the value of sin x at x = 0.1.

A: We have to find the error.