Show that the triangle with vertices (6,-7),(11,-3), and (2, -2) forms a right triangle. Thenf ind the midpoint of the hypotenuse, and the area of the triangle

Q: (π/2, π), (π, 3π/2), and (3π/2, 2π). Which two are possible, and why? D. If is a real number on the…

A: we wil find the required.

Q: Solve using the quadratic equation.    2x^2 - x - 528 Mark all the solutions for x.   16.5   -16…

A: To solve the following polynomial by using the quadratic equation.2x2-x-528

Q: For the given position vectors r(t), compute the (tangent) velocity vector r' (t) for the given…

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Q: f(x)=x5 - 6x7 - 4x lim f(x)= X418 lim f(x) = x18 f(x) = 7x4 - x³ + 7x + 1 lim_ f(x) = x418 lim f(x)…

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Q: 2. Without graphing, Find the vertex and y-intercept of the quadratic function: f(x) = -4x² - 8x - 4…

A: To find the vertex and intercept of given quadratic function.

Q: 3. The figure on the right side shows the circumscribed (big circle) and inscribed (small circle)…

A: given that,

Q: Exercise 1. Tell whether the following sets are bounded from below and/or from above, specifying…

A: The given set is C=n−1n: n∈ℕ\0

Q: Consider the curve given by x² – 6y² – 5 – 4xy . x+2y dy dx 2(3y-x) Show that

A: Given : x2-y2=5-4xy   To Show : dydx=x+2y2(3y-x)

Q: Solve 52*-4(5*) = 12,

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Q: Find the average rate of change of the function f(x) = = Average rate of change Give exact answer! =…

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Q: A particle's acceleration is given by the expression a(t) = 2t3 m/s². The particle was measured to…

A: we need to find the velocity and position of the particle.

Q: A force is specified by the vector F = [(-110)i + (130)j + (150)k] N. Calculate the angles made by F…

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Q: Question 2 A y B Hence, calculate the size of the shaded area R X Diagram not to scale- The above…

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Q: Use the information given below to find cos (a +ß). 4 tan a = - 3' 12 13' sin ß= with a in quadrant…

A: To find the value of given trigonometric function.

Q: The velocity of an object (in km per minute) t minutes after it begins moving along the positive…

A: The integral of a velocity function represents the displacement of the object.

Q: Illustrate the wide-ranging uses of calculus within different construction disciplines by solving…

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Q: (c) (d) y² + 4y = cos2x y' +9y=e'; y(0) = 0, y'(0)=4

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Q: for 0 I ety dydx

A: Since you have posted multiple questions, as per guidelines we can solve only one question at a time…

Q: 3. 4 Determine the volume of the solid obtained by rotating the region bounded by y = √x, y = 3 and…

A: As per Bartleby guidelines we only give first question answers. Please repost for other parts.

Q: A closed rectangular box with a volume of 2058ft³ is made from two kinds of materials. The top and…

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Q: Use the 2 solutions Bernoulli's equation y y' + √y=0

A: Given differential equation y' + yx - y = 0

Q: A manufacturer estimates that the marginal cost of producing q units of a certain commodity is C'…

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Q: If ƒ(x) = x² + 6, g(x) = x − 3, and h(x) = √x, then (fog)(x) = (gof)(x) = (hog)(x) =

A: To find the composition of given functions.

Q: Use the 2 solutions Bernoulli's equation y' + y x -√y=0

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Q: Find the directional derivative of f at the point P in the direction of a. f(x, y) = 5x³-9y³;…

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Q: False True 3. Start the process of completing the square by converting the quadratic function into…

A: given statement Start the process of completing the square by converting the quadratic function into…

Q: For the function f(x) 1 42 P 2, find the value of x for which f(x) = x.

A: Equate f(x) to x for finding x

Q: Find the Trig Value - Simplest Radical Form A student is given an angle in standard position on a…

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Q: Let CE = actual consumer expenditure for a number of units CS = Consumer's Surplus WS = total amount…

A: Given CE = actual consumer expenditure for a number of units

Q: Problem 3. A farmer has a rectangular field with dimensions 200m (north) by 150m (east). A sheep is…

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Q: At price p = 5, the demand D given by D(p) = 15 - 1.5p is O a. of unit elasticity O b. inelastic O…

A: Solution is given below.

Q: y T Q P R X n the figure above, line T is tangent to the graph of y = at point P, with bordinates…

A: To solve the following problem

Q: x f(x) g(x) g'(x) -3 10 -5 -2 10 -3≤x≤-2 positive negative negative positive -2 0 -3 -2 0 The…

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Q: Step 1 To find the x-intercept, set y = 0 in the equation 3x - y - 9 = 0, and then solve for x. 3x…

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Q: f(x) Given differentiable functions f(x) = x² e and g(x) = 3 ln x, the function h(x) is defined by h…

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Q: Find the volume of the wedge cut from the cylinder x2 + y² = 9 by the planes z 0 and 2 y for y> 0.…

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Q: Which of the following angles in standard position has a referen angle of 20%? Select one: O a. 70⁰…

A: formula for finding reference angle is  if angle is in 1st quadrant than  θref.=θif angle(θ) is in…

Q: Given the equation f(x) = a(x-p) + q what does the represent?

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Q: O False O True 6. Given the standard form it is simple to identify the vertex (p, q).

A: Let's solve.

Q: At what values of X 2 x² +1, function f(a) = { |1-x\, is the x < 0 0≤x≤2

A: Given f( x ) = x2 + 1   ,  x &lt; 0          = | 1 - x |  ,   0 ≤ x &lt; 2         = x - 1   ,   x…

Q: If f(x) = 2 + Find f'(5). 68 + 2 find ƒ'(x). x²²

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Q: et f(x) be a function f : [0, 1] → [0, 1], f(x) = −4x(x - 1). Let g(x): (-∞0, ∞o) → [0, 1] be a…

A: Please see the below answer.

Q: ds dt + Bs = C; when t = 0, s = 0, A, B, C = R – {0} :

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Q: Verify the following identities 2c05¹ √√x=cos (2x-1) 0<x<1

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Q: The position function of a particle is given by r(t) = (-51², 5t, t² + 4t). At what time is the…

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Q: If r(t) = cos(6t)i + sin(6t)j — 2tk, compute the tangential and normal components of the…

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Q: a = b = C= 6²: 2 = c² 6 4 = 2 (1, 1) (a) Find the length of each side of the right triangle. 2 4 6 a…

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Q: Let f be defined as follows: x²-9 f(x) = x-3 k if x # 3 if x = 3 What value of k would make the…

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Q: . A steel ball, initially at 100°C is dropped in a water bath at 25°C. After 5 seconds, the…

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Q: Question 2 Solve the following simultaneous equations xy = 256, 3log, (v) = 1 (4 marks)

A: Using logarithmic property Logxy=z then apply exponant both side we get y=xz