1. You want to conduct an experiment to understand how the power generated by a wind turbine is affected by the speed of the wind. Write your hypothesis (1point) and explain how you can conduct the experiment (assume that you’re in laboratory conditions like we preformed the Wind Turbine experiment) eg the experiment needed and the procedure of the experiment (1 point). Which parameters/conditions in the experiment should be kept under control and which parameters should be observed to test the hypothesis? (1 point)

You want to conduct an experiment to understand how the power generated by a wind turbine is affected by the speed of the wind. Write your hypothesis (1point) and explain how you can conduct the experiment (assume that you’re in laboratory conditions like we preformed the Wind Turbine experiment) eg the experiment needed and the procedure of the experiment (1 point). Which parameters/conditions in the experiment should be kept under control and which parameters should be observed to test the hypothesis? (1 point)

IV. TESTING EXPERIMENT: YOUNG’S DOUBLE SLIT EXPERIMENT The goal of this experiment is to test the relationships we just developed about the positions of the bright spots of an interference pattern. Available equipment: Laser pointer, plate with two closely-positioned narrow slits, whiteboard or white screen, meter stick, protractor. f) Design an experiment to test the relationship we just developed. Sketch the experimental set-up. g) Use the hypothesis to predict the outcome of the experiment. Show your work on your whiteboard. h) Perform the experiment, record the outcome, and compare it to the prediction. i) Make a judgment about the hypothesis based on the prediction and the outcome of the experiment.

What does a diabetic diet comprise of and how do we teach patients to adhere to these diets without craving sweetened foods?

Nutrition Essentials for Nursing Practice 7th Edition Author: Susan G. Dudek

Consider the case of intellectual property rights, such as the ownership of a copyright by an author of a book. Would you characterize the copyright as a non-rivalrous good? However, is such a copyright also non-excludable? Justify your answer with economic reasoning

The output voltage of a power supply unit has an unknown distribution. Using a sample size of 36, sixteen samples are taken with the following sample-mean values: 10.35 V, 9.30 V, 10.00 V, 9.96 V, 11.65 V, 12.00 V, 11.25 V, 9.58 V, 11.54 V, 9.95 V, 10.28 V, 8.37 V, 10.44 V, 9.25 V 9.38 V and 10.85 V. Let µ and σ² denote the mean and the variance of the output voltage of the power supply unit. (a) What distribution describes the sample-mean? What are the parameters of the distribution (in terms of µ and σ² )? (b) Test the hypothesis that the population variance σ² = 36 V² at 95% confidence. (c) Construct a two-sided 95% confidence interval for the population’s standard deviation.

Do some independent internet research on the Miller-Urey Experiment. Based on what you found,

• What did the experiment definitively prove?
• What did the experiment suggest?
• What criticisms of the experiment did you find? Are they convincing?

QUESTION 1

Vector Space Axioms

Let V be a set on which two operations, called vector addition and vector scalar multiplication, have been defined. If u and v are in V , the sum of u and v is denoted by u + v , and if k is a scalar, the scalar multiple of u is denoted by ku . If the following axioms satisfied for all u , v and w in V and for all scalars k and l , then V is called a vector space and its elements are called vectors.

1) u + v is in V

2) u + v = v + u

3) (u + v) + w = u + (v + w)

4) 0 + v = v

5) v + (−v) = 0

6) ku is in V

7) k(u + v) = ku + kv

8) (k + l)u = ku + lu

9) k(lu) = (kl)(u)

10) 1v = v

Task: Show that the set V of all 3×3 matrices with distinct entries and also combination of positive and negative numbers is a vector space if vector addition is defined to be matrix addition and vector scalar multiplication is defined to be matrix scalar multiplication.

QUESTION 2

Suppose u, v, and w are all vectors in a vector space V and c is any scalar. An inner product on the vector space V is a function that associates with each pair of vectors in V, say u and v, a real number denoted by u, v that satisfies the following axioms.

(a) < u, v > = < v, u > (Symmetry axiom)

(b) < u + v, w > = < u, w + v, w > (Additive axiom)

(c) < cu, v > = < c u, v > (Homogeneity axiom)

(d) < u, u > ≥ 0 and < u, u > = 0 if and only if u = 0 (Positivity axiom)

A vector space along with an inner product is called an inner product space.

Task: Show that the set V of all 3×3 matrices with distinct entries and also combination of positive and negative numbers is a inner product space if vector addition is defined to be standard matrix addition and vector scalar multiplication is defined to be matrix scalar multiplication.

1) Standard MLA Heading. Top-left: Your name, professor's name, course number/section, and date. Double-space your paper and use 12-pt. font with 1-inch margins all around. 2) Title. Create your own title for your essay. Don't call it "Final Exam" or the source essay title. 3) Opening Paragraph. Write 1 opening (introductory) paragraph. Make sure that this introductory paragraph includes your thesis statement, along with the source essay's title and author, properly formatted and spelled. Use transitional words or phrases to smoothly move from paragraph to paragraph. 4) Body Paragraphs. Write 3 full paragraphs of analysis based on the essay question. Begin each paragraph with analysis in your words, introduce a relevant quote from the essay, and write your interpretation of why this quote is important to your essay. 5) Concluding Paragraph. Write a clear conclusion to your composition. Do not end on a quote. Always end with your own critical voice, not that of anyone else. 6) Quotations. You must incorporate a maximum of 2 quotations from the essay into your body paragraphs. If you have a long quote (defined as more than one sentence), use a portion of that quote and paraphrase the rest in your own words. 7) Proofread. Go through your essay to proofread and correct any grammatical errors the tittle is women's right and Eating disorder. Two different essay