1. Find the equation of the circle passing through the points (1, 5), (-2, 4), and (10,-2).

Q: You have a moment vector, M = [ 219.2 i + 270.5 j + 211.9 k] lb*ft and unit vector, u = 0.4286…

A:

Q: 12. For an object whose velocity in ft/sec is given by v(t) = cos(t), what is its distance, in feet,…

A: Topic = Integration

Q: lim X→+ 2 In x² 3 In (x+4) ³

A: This question is based on limits solved using L hospitals rule.

Q: Find the volume obtained by rotating the region bounded by the given curves abou y = -1. Select the…

A:

Q: Trig Substitution: For the following integral, which trig substitution is needed? O Tangent Sine…

A:

Q: (2,-1,0), B(3, 0, -2), and C(0, -3,-1). ) Find the equation of the sphere with center C nd radius…

A:

Q: On which of the following intervals is f(x)=x4-100x²+x-10 concave up? Selected Answers: A. (-∞,-5)…

A: Concavity

Q: 4. What is the length of the latus rectum of the ellipse whose equation is + = 1. 16 25

A: Latus rectum of an ellipse is a straight line passing through the foci of the ellipse and…

Q: Use the graph of f to find the largest open interval on which f is increasing, and the largest open…

A:

Q: How much must be deposited today into the following account in order to have $65,000 in 5 years for…

A: Given :Future value =F=$65000Present value =P=?Rate = r=6%=0.06Time=t=5 years

Q: Drag and drop your answer into the box: (a) An antidervative of f(x) is = 4x4 + 2x² - 5 (b) The…

A:

Q: d) Find the slope of the parametric equations x=2+3sin and y=0-cose at 0=

A: Given: x=2+3cosθ and y=θ-cosθ   As we know that; The slope of the tangent line to the given curve is…

Q: - 1. 1 [(ow + √w) dw

A:

Q: its wrong please do it again

A: To find fx, if,f''x=2+cosx, f0=7, fπ2=2

Q: Set-up and evaluate the triple integral for the mass of the box 1≤x≤2, 1≤ y ≤16, 0≤z≤ with √√y…

A:

Q: DA bacteria Culture that exhibts exponential double in size growth in 10 days. ㅋ Find the growth…

A:

Q: Given that the graph of f passes through the point (1, -5) and that the slope of its tangent line at…

A:

Q: Describe the given region in polar coordinates. The lower portion of the region is (Type an exact…

A:

Q: Use the properties of the derivative to find the following. r(t) = ti + 4tj + t2k,   u(t) = 5ti +…

A:

Q: Assume that x1, x2 and x3 are the zeros of the polynomial p (x) = x3 + ax2 + bx + c. Determine the…

A: Assume that x1, x2 and x3 are the zeros of the polynomial p (x) = x3 + ax2 + bx + c. Determine the…

Q: Q5/ Find the area of the region enclosed by the curve y² - 4x = 4 and the line 4x - y = 16. 3,6 16…

A:

Q: 3) Consider the autonomous DE: y' = y² + 3y - 10 A) Find the critical points of the given DE.

A:

Q: P 1. por Find a power series representation for the function f(x) = 92 and determine the radius of…

A: We have to find power series representation of given function and radius of convergence.

Q: Find the absolute maximum and absolute minimum values of f on the given interval. 8. f(x) = 2³3r² -…

A: In this question we have to find the absolute maximum and absolute minimum.

Q: H.W: Evaluate the integral (x²y - 2xy) dydx 1. 30 0-2

A: As per your query the solution of the question no 1 is given in the next step.

Q: Find the antiderivativef e* sinxdx A.je*(sinx – cosx) + c C. e*(sinx — cosx) + c Find the…

A:

Q: [tanh (0.12 – j0.05) ]In(sinj0.5)

A:

Q: 2) Consider the DE: y" + 25y = 0 A) Verify that y = C₁ cos 5x + c₂ sin 5x is a solution of the given…

A:

Q: Find the minimum rate of change of f(x, y) – y³e-² at the point (0. — 2).

A:

Q: Determine whether the series is absolut Σ n = 1 sin(n) 57 O absolutely convergent conditionally…

A:

Q: Solve differential equation dx -(2ln5y+x-¹) 2xy-1

A: Solution is given below:

Q: 2 Matrix A = · (2 ²]‚B = [† __²₂], find AB . Solve differential equation d = -(2ln5y+x¹) dx 2xy-1

A:

Q: •. Sketch the graph of a continous function & f(2)=1 f'(2)=0, the point (2,1) is 1 1 1 1 2 I is…

A: We have to sketch the graph for given question.

Q: 3. The radius of a sphere ball is measured at r= 25 cm. Estimate error in the volume and surface…

A:

Q: find the limit, if it exists. If the limit does not exist, explain why. limx→2 1−|x|^2/1−x^2

A:

Q: 5. What is the equation of the asymptotes of the hyperbola defined by x²-4y² + 4x + 40y - 92 = 0

A: Standard form of equation of hyperbola is y-k2b2-x-h2a2=1 Perform operations to get this form…

Q: Solve using variation of parameters: y" - 2y + y = e¹/(1+1²) + 3et p= ₁ ² + ₂ tet (Use 2 decimal…

A:

Q: 17. Evaluate: √4x² - 4x + 5 dx A. √4x² - 4x +5 +In(2x+1+√4x² - 4x + 5) + C 8. √4x² - 4x…

A:

Q: 5. Which of the following represents the volume of the solid formed by revolving the region bounded…

A: Given that y=x3,y=1and x=3, about the line x=3.Using washer /disk mathodr=3-y13r=Radius of…

Q: The volume of the solid obtained by rotating the region enclosed by x = 0, y = 1, x = y5 bout the…

A:

Q: The volume of the solid obtained by rotating the region enclosed by y = 1/x³, y = 0, x = 3, x = 4…

A:

Q: Calculate two iterations of Newton's Method to approximate a zero of the function using the given…

A:

Q: As per the trigonometric substitution x = 4 sin 0, the following triangle is obtained. sin 0 = X x²…

A: In this question we are going to fill these blank up.

Q: Volume of the function f(x, y)=√√x+y over the triangle region bounded by x+y≤1, x20, y≥0.

A:

Q: 2. y(x-y²)dx + x(x++y²)dy = 0

A:

Q: Use the Root Test to determine whether the series convergent or divergent. Identify an 00 n = 1 מס →…

A:

Q: y = Volume = s 1 x4' y = 0, x = 3, about the line y = -3 using the method of disks or washers. and x…

A:

Q: Write the first five terms of the sequence: {√n² + 4n - n } n =1 + Determine whether the sequence…

A: Find out the first five terms of the sequence and also if it converges then find its limit.

Q: 9. If = 1, 4, 5) and W = (2, -3, 1 V ( − w a) 3-2W b) |v|

A:

Q: Find the arc length of the graph of the function over the given interval. y = In x, [1, 8] Step 1…

A: topic- arc length of a curve