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christina miller

christina m.

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A rocket launches with an inital speed of 5.3 m/s at an angle of 30 degrees up from the horizontal from a height of 1.2m. a) what will the time of flight be for the cat to hit the ground? b) what will the range of the rocket be?

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150mm 30mm 60mm 8mm 14mm Thickness = 6mm

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The plaintiff in a quasi-contractual action can recover: Group of answer choices - damages for mental distress. - lost profits. - the reasonable value of the benefit conferred upon the defendant. - for all the damages sustained.

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Example: The function $f: \mathbb{R} \rightarrow \mathbb{R}$ defined by $f(x) = 2x + 7$ is 1-to-1. Proof: Suppose that $f(a_1) = f(a_2)$ for some $a_1, a_2 \in \mathbb{R}$. Using our formula for $f$, this implies $2a_1 + 7 = 2a_2 + 7 \implies 2a_1 = 2a_2 \implies a_1 = a_2$. Thus, if $f(a_1) = f(a_2)$, then we must have $a_1 = a_2$. This proves that $f$ is 1-to-1. 1) Prove that the function $f: \mathbb{R} \rightarrow \mathbb{R}$ defined by $f(x) = -\frac{1}{3}x + 5$ is 1-to-1.

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PLEASE DO ALL PARTS, IF YOU CANNOT DO ALL PARTS LEAVE FOR SOMEONE WHO CAN** THANK YOU 6% Problem 15:A rectangular loop with L,=0.15 m and L=0.15 m is sitting in a magnetic field B = 0.65 T as shown in the figure. There is a counterclockwise current I = 0.85 A in the loop B d b 8 % Part (a) Express the magnitude of the magnetic force on ab or cd, F,, in terms of the length L, current I and magnetic field B. F=| Grade Summary Deductions 0% Potential 100% a 0 F1 1 m ( 7 & 9 4 5 6 1 2 3 0 HOME Submissions Attempts remaining: 5 (2% per attempt) detailed view B p h L2 t g L1 P END VO CLEAR Submit Hint Feedback I give up! Hints: 1% deduction per hint. Hints remaining: 1 Feedback: 0 % deduction per feedback. 8% Part (b) Calculate the numerical value of the magnitude of the force, F, on ab or cd in N. 8% Part (c) Express the magnitude of the magnetic force on bc or ad, F2, in terms of the length L2, current I and magnetic field B. 8% Part (d) Which direction does the force on ab act? 8% Part (e) Which direction does the force on cd act? 8 % Part (f) Express the torque of F on ab, with respect of the axis ef, in terms of F and L2. 8% Part (g) Express the torque of F1 on cd, with respect of the axis ef, in terms of F, and L2. 8% Part (h) What is the total torque on the current loop with respect of axis ef, in terms of F and L2? 8% Part (i) Calculate the numerical value of the total torque in N-m. 8% Part (j) Express the torque of F on ab, with respect of the axis cd, in terms of F and L2. 8% Part (k) Express the torque of F on cd, with respect of the axis cd, in terms of F and L2- 8% Part (l) What is the total torque on the current loop, with respect of the axis cd, in terms of F and L? 8% Part (m) True or false: the total torque on the loop is the same regardless of what is chosen as the position of the vertical axis of rotation.

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1. (5 marks) The image shows a glass rod that is partially inside a liquid. The part of the rod that is inside the liquid is invisible. Why? Explain clearly. 2. (5 marks) Suppose an object is placed 6 cm in front of a converging lens (convex lens) with a focal length of 10 cm. Determine: a) the distance between the image and the object. b) the magnification and the image properties (real/virtual, inverted/upright, larger/smaller).

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The signal $x(t)$ shown in the attached figure is zero except as shown. a. Plot $x(2t)$ [2 Marks] b. Plot $x(2t-1)$ [2 Marks] c. Plot $x(2-t)$ [2 Marks] Clearly indicate the significant points in the time axis and y-axis. Attach File

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$2\frac{1}{3} - \frac{3}{10}(4\cdot2 - 0\cdot3) = 0\cdot12$

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Find the unit vector in the same direction as vector u = (-12,8) and vector v = (-5,-12), find: < -5/13, 12/13 > < 5/13, 12/13 > < 0.385, 0.923 > None < -0.832, 0.555 >

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16. How many solutions are shown by the graph of the quadratic function? A. zero B. one C. two D. three

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