Find the perimeter of the triangle with ver an isosceles triangle?

Q: Calculate the direction of P1P2 and the midpoint of line segment P1P2. P 1(3, 4, 6) and P 2(6, 0, 1)…

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Q: 5. Find the residues of the following: a. 2-2 z(1-2) at z = 0; at z = 1

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Q: f(x csc² 2x - x cos 2x)dx

A: Here we to integrate the given integral

Q: √√-x-6 if x < -1 Let g(x)=2x-3 if-1<x<4 6-e-4 if x ≥ 4 a) Give the domain of the function. b) Is…

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Q: Determine an equation for normal to the curve y = at x = x = -2.

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Q: dx √4 - 9x²

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Q: 9. A bacterial culture starts with 4000 bacteria. After 12 hours the estimated count is 36000 a)…

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Q: 2) Find the equation of the tangent to f(z) = 3re² when x = 1

A: A detailed solution is given below.

Q: Evaluate the following integral using trigonometric substitution. 7 S √√36x² - 49 x3 dx, x> √36x² -…

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Q: If dy dt y. 1 - et and y = 0 when t = 1 find

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Q: √√3 ल dx 1 + x 2

A: The given integral is 1/(1+x2) limit from sqrt(3) to sqrt(3)/3.

Q: A car is moving with uniform acceleration. it covers 200 m in 2 sec and 220 m in next 4 sec. the…

A: A detailed solution is given below.

Q: Marine Vessel A is 20 km west of another Marine Vessel B. If Vessel A sails east at 10 km/hr and at…

A: Marine Vessel A is 20 km west of another Marine Vessel B. If Vessel A sails east at 10 km/hr and at…

Q: Express the repeating decimal as a fraction. 0.474747...

A: Let's express as a fraction.

Q: Let ā 47- 57 and b - 27 + 3j + 4k. Find - 2ā - 36.

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Q: Given f(x,y)=x2y³-4y, find the directional derivative at the point (2,-1) in the direction of v=.

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Q: Find the point of diminishing returns (x,y) for the function R(x), where R(x) represents revenue (in…

A: Point of diminishing return is the point where d2Rdx2=0

Q: 2y V. Consider the lines : x + 1 5 = = 2z - 6 and m: x = −1+10t, y = 7t, z = 2 + t. 7 1. Determine…

A: As per our guidelines we can answer only one question so kindly repost the remaining questions…

Q: Find the horizontal and vertical asymptotes of this curve. 2x²+x-1 y= = x²+x-2

A: Given.

Q: J (secs x) dx/csc x

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Q: Evaluate 2 x√√x² + 4 dx.

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Q: Two families went to Rollercoaster World. The Brown family paid $170 for 3 children and 2 adults.…

A: Disclaimer: Since you have asked for the handwritten solution but currently we are not providing any…

Q: Find the cross product a x b. a = (4, 5, 0), b = (1, 0, 9) Verify that it is orthogonal to both a…

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Q: Given the function f(x) = x³ − 2x² + 3x within the interval [0, 2], - - at what values of x do the…

A: The given function:fx=13x3-2x2+3x ; within the interval 0,2.We need to find the values of x at which…

Q: Consider the initial value problem y + y = 8 + 2 cos 2t, y(0) = 4 a) Find the solution of this…

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Q: Determine the critical point/s of f(x) = ln(x2 + 4x + 14) on [-4, 2]. ΟΧ -- -2 Οχ -3

A: Given, f(x)=ln(x2+4x+14) on [-4,2]

Q: If f(x) = 5³x then f'(x) = 5.A 5h 3 In S O 3x(5³-1) 5³ (In 125) 3(5²)

A: Here, the given function is: f(x)=53x So, note that ddx(ax)=axln(a) where a is a constant.

Q: At which value of x for the function whose graph is shown below differentiable? -4 VO 8 10 12 14…

A: From the given graph, we have to find the points at which the function is differentiable

Q: Determine the value(s) of k for which the following planes will intersect in a lin x+y+z=0 2x + 3y -…

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Q: Q3) Given, u (x, y) = xy is harmonic, find a harmonic conjugate v(x, y), write u+iv as a function of…

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Q: Find the Volume: Rotate the region bounded by x = y²-6y + 10 and x = 5 about the y-axis

A: A detailed solution is given below.

Q: .) Find the limit or show that it does not exist. lim √25t²+2-5t 1-x

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Q: x³-y³ Determine whether the function z = g(x, y) = x² + y² (why or why not) for for (x, y) = (0,0)…

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Q: a. Verify that the given point lies on the curve. b. Determine an equation of the line tangent to…

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Q: Express the repeating decimal as a fraction. 0.789626262626... 0.789626262626... =

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Q: A trough is 12 feet long and 3 feet across the top (see figure). Its ends are isosceles triangles…

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Q: Find an equation for the line tangent to the graph of y = tan ¹ (2x) 2 1 What is the tangent line to…

A: As we know that; The slope of the tangent line to the given curve is equal to the first derivative…

Q: 1) dx x²+3x-4

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Q: The plane containing the point (0,7,-2) and parallel to the plane -x + 8y + 6z = Ax+By+Cz = D. 4 has…

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Q: The angle between the vectors [√2 – 1, √2 + 1, √2] and [1, 1, 1] is: 45° 60° 90° 30°

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Q: Suppose f(x) = 3x² + x - 3x²+x-6. Compute the following: A.) ƒ( − 4) + ƒ(1) = = B.) f(-4)-f(1) =

A: Given f(x)=3x2+x-6f(-4)=3(-4)2+(-4)-6=3(16)-4-6=48-10∴f(-4)=38

Q: What is the derivative of y = log, sec(e²x) Dxy = 2 e² tan (²) Dxy = 2 (log, e) e²x sec(e) tan(e) D,…

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Q: bn gn-4+5 10n

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Q: ng the problem) an interval in which the solution of the given initial value proble (t-4)y' + (Int)y…

A: We have to find the interval of t

Q: Determine the surface area generated when a portion of the curve in the 1st quadrant of y² = 2(x² -…

A: Above question is solved.

Q: 4dx 3 x - √√x² S

A: We will use simple Integration rules to solve this question.

Q: Find the cross product u x 7 where u úxv- 71 +5j +k and 7 (5,- 4,7).

A: This question can be solved using the concept of cross product of vectors.

Q: Convert the following iterated integrals (SET UP ONLY): x² a.) [f dA from Cartesian coordinates to…

A: The simple change polar coordinate...

Q: Integral Calculus

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