
Concept explainers
(i)
To check: The lines are parallel at given slopes
(i)

Answer to Problem 32RCC
The lines are parallel if
Explanation of Solution
The slope is the measure of the angle of a line from the horizontal. Since parallel lines must have the same angle, then parallel lines have same slope and the lines that have the same slope are parallel that is,
Thus, the slope of parallel lines are equal that is
(ii)
To check: Whether the lines are perpendicular at given slopes
(ii)

Answer to Problem 32RCC
The lines are perpendicular if
Explanation of Solution
Explain:
Perpendicular lines having negative slope, because it will have to be a decreasing line, So the perpendicular lines have slopes which have opposite signs that means perpendicular slopes is that their values are reciprocal.
Thus, The slope of perpendicular line is the negative reciprocal of the slope of the original line that is
Chapter 1 Solutions
EBK PRECALCULUS: MATHEMATICS FOR CALCUL
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- K x3 +216 complete the table and use the results to find lim k(x). If k(x) = X+6 X-6 X -6.1 -6.01 - 6.001 - 5.999 - 5.99 -5.9 k(x) Complete the table. X -6.1 -6.01 - 6.001 - 5.999 - 5.99 - 5.9 k(x) (Round to three decimal places as needed.) Find the limit. Select the correct choice below and, if necessary, fill in the answer box within your choice.arrow_forwardSketch the slope field that represents the differential equation. × Clear Undo Redo y ४|० || 33 dy dxarrow_forwardSketch the slope field that represents the differential equation. × Clear Undo Redo dy 33 dx = -y "arrow_forward
- Math Test 3 3 x³+y³ = Ꭹ = 9 2 2 x²+y² = 5 x+y=?arrow_forwardFor each of the following series, determine whether the absolute convergence series test determines absolute convergence or fails. For the ¿th series, if the test is inconclusive then let Mi = 4, while if the test determines absolute convergence let Mi 1 : 2: ∞ Σ(−1)"+¹ sin(2n); n=1 Σ n=1 Σ ((−1)”. COS n² 3+2n4 3: (+ 4: 5 : n=1 ∞ n 2+5n3 ПП n² 2 5+2n3 пп n² Σ(+)+ n=1 ∞ n=1 COS 4 2 3+8n3 П ηπ n- (−1)+1 sin (+727) 5 + 2m³ 4 = 8. Then the value of cos(M₁) + cos(2M2) + cos(3M3) + sin(2M) + sin(M5) is -0.027 -0.621 -1.794 -1.132 -1.498 -4.355 -2.000 2.716arrow_forwardi need help with this question i tried by myself and so i am uploadding the question to be quided with step by step solution and please do not use chat gpt i am trying to learn thank you.arrow_forward
- i need help with this question i tried by myself and so i am uploadding the question to be quided with step by step solution and please do not use chat gpt i am trying to learn thank you.arrow_forward1. 3 2 fx=14x²-15x²-9x- 2arrow_forwardNo it is not a graded assignment, its a review question but i only have the final answer not the working or explanationarrow_forward
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