Find the area of a triangle PQR, where P = (6, 3, 5), Q = (0,4, -3), and R=(-6, -1, - 5)

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A: Given that fx=4x2-5w,   if x≤-25x-4 if -2<x≤356x-2, x>3To find :w so that fx is continuous at…

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Q: Q5: Find the area shared by the cardioid r = 1 + cos 0 and the circle r = 3 cos 0. Graph the two…

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Q: Question 3: A) Find the critical points of the DE: y' = y¹ − 5y³ + 4y². B) Classify each critical…

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A: Cauchy’s Integral Theorem : If f(z) is an analytic function in a simply-connected region R, then…

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A: NOTE: Refresh your page if you can't see any equations. . the given equation is  take derivative

Q: Let C be the curve y = 12 11 10 9 8 7 16 16 5 A m Cy 1.5 x³ 1 + for 0.6 3.7. 3x 4 2,5 3 Find the arc…

A: We are given a curve C : y= x3/4 + 1/(3x)  for 0.6≤x≤3.7. We have to find arc length of C.…

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Q: A tank contains 240 liters of fluid in which 50 grams of salt is dissolved. Pure water is then…

A: A tank contains 240 litres of fluid in which 50 grams of salt is dissolved.pure water is pumped into…

Q: General solution of the differential equation 1-3xy X X X 11 2y 1 2y + 이름 4yy 1 4v ① -) (c) -음

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Q: Solve the initial-value problem. dN_ _t+5 dt t -, for t21 with N(1)=5 The solution to the…

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Q: Find the radius of convergence for Σ (sin²n)x". n=1

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Q: y-axis about the y-axis 2. Rotate the region bounded by y = 2x², y = 8 and the y-axis about the…

A: Use disk method

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Q: an +1 Suppose that an Σ απ( – 16)" gar n=1 →1 as n → ∞. Find the radius of convergence.

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Q: Find all solutions of the equation 2 sin² x The answer is x₁ = COS x = 1 in the interval [0, 2π). ,…

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Q: H.W: Evaluate the integral 2. 01 jj(x+y+ -1-1 (x+y+1)dxdy

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Q: Suppose the line L crosses the y axis at 7 and L is Tangent to a function f(x) at the point (5,3).…

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Q: Use an area formula from geometry to find the value of the integral by interpreting it as the…

A: Find the value of integral

Q: Consider the double integral f(x,y)=(x²+y2) 3/² over the region R where y is bounded between 0 and…

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Q: The value of the definite integral is Select one: O none of the others 45 6 30 -30 [² (3x² - 2x (3x²…

A: Topic = Integration

Q: te the integral 2. 01 jjax + y + -1 -1 (x+y+1)dxdy

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Q: Evaluate the following definite integral. 1 18 18 -9 Find the partial fraction decomposition of the…

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Q: H.W: show that the equations are homogeneous and solve: 1. (x + y)dy + (x−y)dx=0 2. x²dy + (y² -…

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Q: is equal to [²2x Select one: Of 2xdx +²2xdx none of the others O O ○ 4 ¹2xdx + ₁ + 2xdx 3 ¹2xdx…

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Q: use a graphing utility to graph f(x)= -0.2x^3 - 0.5x^2 + 4x -4 on the interval [-6,4] and…

A: The given function fx=-0.2x3-0.5x2+4x-4 on the interval -6,4

Q: Question 1 C(0, -3,-1). Consider the points A(2,-1,0), B(3, 0, -2), and (a) Find the equation of the…

A: Given

Q: Let a = (-4, 5, -2) and 6=(-1,0, 4). Find à x b.

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Q: Consider the double integral f(x,y)=(x²+y2)3/2 over the region R where y is bounded between 0 and…

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Q: A tank contains 240 liters of fluid in which 50 grams of salt is dissolved. Pure water is then…

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Q: Write an equation of the line that passes through (2.5, 1.6) and is perpendicular to the line…

A: Aim: To find equation of line passing through the point (2.5,1.6) and perpendicular to the line…

Q: The definite integral is equal to Select one: lò xác thỉ xác Of xdx + ² xdx Of xdx + xdx Of xdx -f²…

A: We have to find correct option of given integration by dividing limits.

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Q: For the function graphed below, find the values of x at which the derivative does not exist. (Enter…

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Q: 25 5.²5 4 Incx √x dx

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Q: The length of the cross product between the vectors k and -k is equal to the zero vector. Select…

A: Given that , the length of the cross product between vectors k and -k is equal to the zero is it…

Q: 20. Determine B such that 3x + 2y - 7 = 0 is perpendicular to 2x - By + 2 = 0 A. 5 B. 4 C. 3 D. 2

A: Topic = Geometry

Q: Find the general solution of the differential equation. dy dt 8 ,t20 The general solution is y=.

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Q: Let ā= and b = . Find 3a + 3b.

A: Given:a→=-3,-2,3 and b→=-3,5,2We need to find 3a→+3b→.

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Q: Find the Riemann sum using R4 over the interval [0, π]. y = x² sin x

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Q: 25. Maximum revenue. A deli sells 640 sandwiches per day at a price of $8 each. (A) A market survey…

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Q: (a) Find the integral of 6.x8 √21° +7 dx. **IDENTIA YAMIMATIO

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Q: Find the point at which the line r(t) y(t) z(t) = -6-7t 7+t - 54t intersects the z plane.

A: Let's find intersect points.

Q: Let à = 5j + k and b -2i+j+2k. Find - 3ā – 3b.

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Q: Find a vector function that represents the curves of intersection of the two surfaces. 1.- The…

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Q: Evaluate the improper integral or state that it diverges. ∞0 S 125 dx 3 Select the correct choice…

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