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Given that y= acoskx + bsinkx, show that d²y/dx² + k²y =0

What is the measure of a median of a trapezoid if the base is 15 and 18?



A reinforcement shape of a triangle ABC with altitude AD= 5.7cm DC=7.6cm and angle B 42 degrees calculate the length of edge AC


What is the measurw of a median of a trapezoid if the base is 15 and 18?




Jose has 19 new magazines to read. Let M be the number of magazines he would have left to read after reading of them. Write an equation M relating R to . Then use this equation to find the number of magazines he would have left to read after reading 11 of them


Statistics students believe that the mean score on the first statistics test is 65. A


statistics instructor thinks the mean score is higher than 65. He samples ten statistics


students and obtains the scores 65 65 70 67 66 63 63 68 72 71. The data are assumed


to be from a normal distribution.


Construct a 90% confidence interval for the mean scores

According to a certain​ country's department of​ education, 44.1​% of​ 3-year-olds are enrolled in day care. What is the probability that a randomly selected​ 3-year-old is enrolled in day​ care?


ACTIVITY IN BASIC CALCULUS

BASIC RULES IN DERIVATIVE


 Complete the blanks of the given function below with a number (except 0 and 1) to create your own problem and find the derivative of the function. Show your complete solution to each problem.

 

1. f(x) = -4x5+ ______x-4 - 2468


2. f (x) =____x-3- _____x1/4 - 12x


3.f(x)= ____ "\\sqrt[4]{x^3} - \\underset{x^6}{=} + \\frac{2}{3} x^6"


4.f (x) = "\\underset{x^-6}{=} -" ____ x2 + "\\sqrt[4]{x}"


ACTIVITY IN BASIC CALCULUS

BASIC RULES IN DERIVATIVE


 Complete the blanks of the given function below with a number (except 0 and 1) to create your own problem and find the derivative of the function. Show your complete solution to each problem.

 

1. f(x) = -4x5+ ______x-4 - 2468


2. f (x) =____x-3- _____x1/4 - 12x


3.f(x)= ____ "\\sqrt[4]{x^3} - \\underset{x^-6}{=} + \\frac{2}{3}" x6


4.f (x) = "\\underset{x^-6}{=} -" ____ x2 + "\\sqrt[4]{x}"


Given that the sum of the first four term of an AP is 32, while the sum of the three next terms is 52. Calculate the sum of the first 10 terms of the sequence.


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