Use calculus to find the area A of the triangle with the given vertices. (0, 0), (5, 3), (1,8)

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A: To Find : Distance of point (4,6,3) from the plane x-y+2z=10

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A: We have given that height of the ball after t seconds is s=-2.7t2+30t+6.5

Q: 6.2 Warm Up After Day 1 Calculus AB Sketch the region created by f(x)=-x² + 4x-5 and g(x)=-5. 1)…

A: As per Bartleby guidelines for more than one question asked only one is to be answered please upload…

Q: Determine algebraically the solution to the system:  x^2 + 2y^2 = 11 3x^2 - 2y^2 = 25

A: Solutions are : (3,1),(3,-1),(-3,1) &(-3,-1) For detail...go through the solution...I have…

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A: v=(4,0,-2,-5)

Q: LATIHAN 1 1. Obtain the cartesian equation of the curve by eliminating the parameter a. x = 3t ; y =…

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Q: Consider the function g(t) (a) Find g '(t) = 6-1² (6+7²)² t 6 + t² (b) Find all critical points of…

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Q: 2. Find dy/dx and d'y/dx² at the given point without eliminating the parameter : x = 6s², y=-25³ 3…

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Q: 3. Find the volume generated by revolving the area bounded above by y = ex, bound below by y=and x =…

A: The given curves are y=ex, y=11+x and x=1. From the given curves the bounded region is shown below;…

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Q: The position function of a particle is given below. s(t) = t³ + 6t² − 33t, t ≥ - 0 When does the…

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Q: Show that the lines L₁ : x = 1 -t, y = 2t, z = 5 + t and L₂: x=1+3t, y = 3-6t, z = 5-3t are parallel…

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Q: A tank contains 50 kg of salt and 2000 L of water. A solution of a concentration 0.0125 kg of salt…

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Q: Suppose a product's revenue function is given by R(q) = -3q² +800q, where R(q) is in dollars and qis…

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Q: Find the derivate of the functions: 2) F(x) = 5x²₂² f'(x) = f(x) = x²(x³²-₂) f'(x) =

A: Since, the student has mentioned to solve multiple questions with multiple sub-parts. But according…

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A: Solving the following problem

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A: Given that , f(x)=x+1x-4To determine an open interval where f is decreasing. The function f is…

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Q: 3 (a) Find the intervals of decrease or increase, (b) find the local maxinum and minimum values, (e)…

A: The solution is shown below- As per bartleby guidelines only first part is allowed to solve. Kindly…

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Q: xzdS where S is the part of the parabolic Compute the surface integral =ylinder z = 2² that lies…

A: We have to compute the surface integral:∫∫S xz dSwhere S is the part of the parabolic cylinder z=x2…

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A: Given :

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A: Area approximately = 9.2 square units  For detail...go through the solution

Q: 7. Find dy fo dx for x³ -y + y² = 4.

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A: I have appended the formula used in the solution part of the question

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A: Given that , fx=x6-2x , gx=x2+4x-59 , hx=2x-11 and mx=fx·gx , nx=gxhx

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A: Consider the function f(θ)= 7sin2θ-7cosθ.  a) Find f' b) Find the critical points on the interval…

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Q: Find the cross product a x b. a =j + 6k, b = 5i - j + 4k Verify that it is orthogonal to both a and…

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