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In Exercises 18-20, write
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Thinking Mathematically (7th Edition)
- What is correct: (i) "continuity impies differentiability"; (ii) "differentiability implies continuity"? For each statement, either provide a brief proof or give a coun- terexample.arrow_forwardQuestion 2 If A(t) = 3t² i − (t + 4); + (t² - 2t)k and B (t) = sinti +3ej-3 cos tk, find (A x B) at t-0 dta Ans: -301+14j + 20karrow_forwardpls exact valuesarrow_forward
- Find the polar representations of a point which has -л<О≤л and is symmetrical to the given point with respect to the origin. (√2.- 1/1) π 4arrow_forwardQuestion 2 If A(t) = 3t² i − (t + 4); + (t² - 2t)k and B (t) = sinti +3ej-3 cos tk, find (A x B) at t-0 dta Ans: -301+14j + 20karrow_forwardFind the area of a triangle formed by the pole and the two points with polar coordinates. π A 5, - B(10, 2π)arrow_forward
- 1) Given: MNPQ is a parallelogram with MP 1 NQ. Prove: MNPQ is a rhombus. Statement M Reason Q Rarrow_forwardFind an equation of the tangent to the curve at the given point. x = t² - 2t, y = t² + 2t + 1; (0,9) y = Graph the curve and the tangent. 15 O y 10 5 15 15 15 10 10 5 10 5 Χ x x x 5 10 15 5 10 15 5 10 15 5 10 15arrow_forwardNot use ai pleasearrow_forward
- 1) Given: MNPQ is a parallelogram with MP 1 NQ. Prove: MNPQ is a rhombus. Statement Reason M R Parrow_forwardA random sample of college students were asked to estimate the total number of alcoholic drinks they consume in an average week. Responses are recorded in the following table. 0 0 1 2 2 3 4 4 8 8 9 12 13 15 15 22 25 33 35 44 Use the sample data to find the error bound with 90% confidence and the subsequent confidence interval for the mean number of alcoholic drinks a college student consumes each week.arrow_forwardneed help with thisarrow_forward
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