Find the point of intersection of the line through (1, -4, 1) and (4, -12, 6), and the plane given by x - y + z = 6. (x, y, z) =

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Q: C: line segment from (0, 0) to (4,8) (a) Find a parametrization r(t) = of the path C. 0 ≤t≤4 2 (b)…

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Q: Find a power series representation for the function, and find I, the interval of convergence.. 8 9-x…

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Q: Let ³ 10n 4n + 1 Determine whether is convergent.

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Q: -2x+1 if x0 f(0) = (0, -1) (d) Graph the function below. (b) f(-1) 2 f(-1) = −2 (-1) + ¥(-1)=3…

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Q: Solve the given differential equation by using an appropriate substitution. The DE is homogeneous. x…

A: The given differential equation is xdx+y-2xdy=0

Q: 23. Find the radius of the circle inscribed in a triangle formed by the lines 7x+24y-70-0,…

A: The given equations of the lines are: 7x+24y-70=0  ..........(1)21x-20y-70=0…

Q: (10) Find the volume of a solid S where the base of S is the region enclosed by the parabola y = 1x²…

A: Solution:            lets take the integral over the y axis. We will notice that y=1-x2 is an upside…

Q: Find [(1 - cos² t)dt]. dx A. sin²x B. -sin²x C. 1 - sin²x D. - cos²x

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Q: Determine the volume V and total surface area A of the solid generated by revolving the area shown…

A: I am attaching image so that you understand each and every step.

Q: 2. (D² + D-2)y=e-2x + 3e²x

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Q: Assume that the functions ?,?,ℎ:ℝ→ℝf,g,h:R→R are differentiable such that  f′(a)=b, g′(b)=c,…

A: given: ℎ:ℝ→ℝf,g,h:R→R are differentiable such that  f′(a)=b, g′(b)=c, h′(c)=d, f(a)=e, g(e)=ℓ,…

Q: Find the limit. lim √√x+5 cos (x + π) X-IA O A. A. -√√5- B. √√5-T C. 0 O D. 1 OE. The limit does not…

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Q: 2. What role do binomial coefficients play in a binomial expansion? Are they restricted to any type…

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Q: Find an explicit solution of the given initial-value problem. dx = = 6(x² +1), x(1) = = 1 dt x = tan…

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Q: (1) Find the area of the region bounded by the curves and draw an illustration y = x² and y = 6x-x².

A: The region bounded by the curves y=x2 and y=6x-x2 Note:    Multiple questions are given we are…

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Q: Find the critical numbers for f(x) = 7x*eº. 0, e O 0. O alt Tla 20.-1 0,- .7

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Q: The personnel manager of a department store estimates that if she hires n temporary salespersons for…

A: Please refer to the image below

Q: 20. Which of the following is always true about the graph of f(x) on (-1,2)? (A) f(x) has an…

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Q: (3) Theorem: The area between the curves.y = f(x) and y = g(x) and between x = a and y = b is A =…

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: (8) Find the volume of the solid obtained by rotating the region bounded by y = 1+ secx, y = 3,…

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Q: Find the following indefinite integrals. 24x² a) S -dx (3x4-8) b) c) (-2x² - 15e* + √√x³) dx…

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Q: Estimate the area under the graph of f(x)=1/x+3 over the interval [-1,2] using ten approximating…

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Q: Write the product as a sum: 16 cos (34c) sin(13c) = > Next Question

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Q: Find an equation of the plane with the given characteristics. The plane passes through (0, 0, 0),…

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Q: Find the definite integral of ƒ™/* cos 3x sin 5x dx. -π/4 Option 1: Option 2: Option 3: Option 4:…

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Q: Suppose $1,500 is invested at an annual interest rate of 8 percent compounded quarterly. Compute the…

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Q: Find a unit vector that is orthogonal to both u and v. u = (-8, -6, 4) v = (17, -18, -1)

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Q: 23. Given f(x)=3+2x², and g(x)=x-5, find (f-g)(x). 08+2² 0-2+3x² 2x²-x-2 2x²-x+8 ◄ Prev Next

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Q: Discussion: Population Growth Topic You have just been elected to the position of city manager in…

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Q: Integrate using appropriate U-Substitution. You must label u and du: (x - 1)(x + 1) 15x -5x³ S dx u…

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Q: Find the arc length of f(x) = (1+2²) from x = 0 to x = 2. Simplify your

A: Given :fx=231+x232x from 0 to 2

Q: Evaluate the following integrals JJ (5. (5x³y²-y²) dA_R = {(x, y)| 0 ≤ x ≤ 2, 1 ≤ y ≤ 4} R 11.

A: Solve the following

Q: Evaluate ff sin(9x² + 4y²) da, over the region in the first quadrant by the ellipse 9x² + 4y² = 1.

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Q: Determine whether f(x) is differentiable at x = 0. Show your work. sin(x) cos(x)-1 3x + 1 f(x): = if…

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Q: Write the sum as a product: sin(16.76) + sin(12.96) = > Next Question

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Q: 28. Write the expression as a sum and/or difference of logarithms. Express powers as factors. log 2…

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Q: Find an equation of the plane with the given characteristics. The plane passes through the points…

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Q: Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your…

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Q: 3) Let two vector functions be defined by r₁(t) = (t², t, 3t³) r₂(t) = (t − 1,²—7,5 – t) - a. Find…

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Q: Find the curl for the vector field at the given point. F(x, y, z)= 6xyzi+6yj+6zk (6, 7, 6) O…

A: We have to find the curl

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Q: Determine the point(s) (if any) at which the graph of the function has a horizontal tangent line.…

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Q: Find the percentage rate of change of f at the given value of x. 3/2 1(x) = (1 + ² + 3 + 2 + 3x + 14…

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Q: 44. y' - 2y = 0

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Q: 54. Solve the following triangle. B= 20°, C = 10°, b=4 A≈ (Simplify your answer.) a (Type an integer…

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Q: 3. Find an equation of the tangent plane to the surface z = 2xy + 4y xy-2x at the point (1,1,-6)

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Q: Use Newton's method with initial approximation x₁ =-2 to find x2, the second approximation to the…

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