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Solve this equation and express in explicit form (x^(3)+2)(dy)/(dx)=(3x^(2))/(lny) $$(x^3 + 2)\frac{dy}{dx} = \frac{3x^2}{\ln y}$$

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For every real number x,|_(_())x_(_())^(2)|=|_(_())x_(_())|^(2). 16. For every real number x, $[x^2] = [x]^2$.

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Q3. A firms production function is given as follows: (5 marks)F(K,L)= AKL; A>0, 0<<1 and 0<<1Where A denotes technology, L and K denote the quantity of labour and capital, respectively,which are used as inputs in the firms production process.a. If wages are denoted by w and rent is denoted by r, and the firm wants to produce 100units of output, derive the firms optimum input demand functions of labour and capital?b. If = 0.5, =0.5, wages is Rs.10, rent is Rs.20 and A= 200, calculate the optimum amounts ofL and K.c. If the value of the parameter for technology A now increases to 300, what happens to thefirms demand for L and K?

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What is the relationship between photosynthesis and respiration? Match the words in the left column to the appropriate blanks in the sentences on the right. Make certain each sentence is complete before submitting your answer. from inner sources In photosynthesis, plants use the energy to synthesize from carbon dioxide and water In respiration, are to form and provide energy to do work in the cells of our body. oxidized carbohydrogens from sunlight carbohydrates amino acids proteins reduced air

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Interference is a phenomenon which can be evidenced in "Water waves" "Light waves" "Sound waves" "None of the other answers is correct" "Three of the other answers are correct"

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Variation between individuals in a population can be due to all of the following except _______________? Question 14 options: a) Genotype-by-environment variation b) Genetic variation c) Normalizing variation d) Environmental variation

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7. Which is the one of two general approaches to attacking a cipher? 1. punching 2. enforce cryptanalysis 4. word analysis

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The set of genes in bacteria that are linked together and transcribed as a single unit is referred to as a(n)

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Which of the following hormones is released at the location indicated by the question mark? Select ALL that applies melatonin prolactin oxytocin antidiuretic hormone melanocyte stimulating hormone

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Required information The weight of a 19.5 lb oven door acts vertically through point D. The door is supported by a hinge at point A and two springs are symmetrically located on each side of the door. The resultant moment about point A of the weight and spring forces is zero. NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. W B 8 in. 5 in 12 in. -10 in.- For $\alpha = 90^\circ$, determine the force needed in each of the two springs. (Round the final answer to three decimal places.) The force needed in each of the two springs is lb.

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