Shown above is a slope field for which of the following differential equations

For negative x values, the slope will be positive (negative times a negative) and for positive x values, the slope will be negative (negative times a positive). The slope values across the row at y=0 are all \displaystyle -3\left ( 0 \right)=0 (horizontal lines). Thus, a , c , d, and e are correct, so the answer is b.. The slope field for a certain differential equation is shown above. Which of the following could be a specific solution to that differential equation? (A) yx sin (B) yxs (C) yx2 (D) 1 3 6 yx (E) yx ln _____ 17. Consider the differential equation given by 2 dy xy dx. (a) On the axes provided, sketch a slope field for the given differential equation.. A) 2. What is the slope of the line tangent to the curve y=arctan (4x) at the point at which x=1/4. C) dy/dx= xy + x. Shown above is a slope field for which of the following differential equations. A) -1/2. Let f be a differentiable function such that f (3)=15, f (6)=3, f' (3)=-8, and f' (6)=-2. The y-coordinate determines the slope. With differential equations that contain both an x-term and a y-term, such as dy/dx = x + y, look for points that have the same slope. Draw a slope field for each of the following differential equations. Each tick mark is one unit. 3) dy dx x y=+ 4) dy dx x=2 5) dy dx y=−1 6) dy dx y x=− / x y dy/dx 0. Calculus. Calculus questions and answers. Shown above is a slope field for which of the following differential equations? A B. c. dy dx dxy dx x2 D dy dx DI E. dx y. Question: Shown above is a slope field for which of the following differential equations?. . The slope field from a certain differential equation is shown above. Which of the following could be a specific solution to that differential equation? (D) y = cosx (E) y = Inx 16. The slope field for differential equation is shown above. Which of the following could be a specific solution to that differential equation? (B) y=ex (A) y = sin x. As the differential equation dy/dx is a function of y, plugging in the y-value 6 gives dy/dx = 6/6 * (4-6) = 1 *-2 = -2, the slope you mentioned. If you look at the point (1, 6) on the slope field diagram, you can see a short downward sloping line, of approximately slope -2.

by the slope field. From the Action menu, select Slider then match the settings shown opposite. The Zconstant [ assigned to the slider can then be used accordingly in the equation. The general solution to a differential equation is shown by the slope field. A specific solution can be determined when a set of initial conditions are provided.. Question: Shown above is a slope field for which of the following differential equations? Ah A. do dx y D. dyr? f (t)dt, which of the following 13. The graph of a differentiable function fis shown at right.. Expert Answer Transcribed image text: Shown above is a slope field for which of the following differential equations? A B. c. dy dx dxy dx x2 D dy dx DI E. dx y Previous question Next question Get more help from Chegg Solve it with our calculus problem solver and calculator. Calculus, Differential Equation. A direction field (or slope field / vector field) is a picture of the general solution to a first order differential equation with the form. Edit the gradient function in the input box at the top. The function you input will be shown in blue underneath as. The Density slider controls the number of vector lines.. If dy/dx is a function of y only, then the slope field looks like rows of parallel segments. Since this is not a feature of the slope field, (A), (B), and (E) are eliminated at a glance. (D) is eliminated because slopes in quadrants I and Ill would be positive. Shown above is a slope field for which of the following differential equations? dx dx. A slope field doesn't define a single function, rather it describes a class of functions which are all solutions to a particular differential equation. For instance, suppose you had the differential equation: 𝑦' = 𝑥. By integrating this, we would obtain 𝑦 = (1/2)𝑥² + 𝐶. show key press history ap calculus slope fields a slope field is a graphical representation of the family of functions that are solutions to a differential equatiorl we need to realize that not all differential equations are " solvable" especially with the limited methods we have acquired at this point in entire college courses are spent on. Draw short line segments at the three points with their respective slopes, as shown in Figure 6.2. Identifying Slope Fields for Differential Equations Match each slope field with its differential equation. a. b. c. i. ii. iii. Solution a. You can see that the slope at any point along the -axis is 0. The only equation that.

The slope field shown above corresponds to which of the following differential equations? A. B. C. = x - y; D. = x + y; Correct Answer: C. Explanation: C. Notice that the slope of the differential equation is zero (horizontal tangent) at the origin. This eliminates (A) and (B) because they are undefined at the origin (so they would show a. . If dy/dx is a function of y only, then the slope field looks like rows of parallel segments. Since this is not a feature of the slope field, (A), (B), and (E) are eliminated at a glance. (D) is eliminated because slopes in quadrants I and Ill would be positive. Shown above is a slope field for which of the following differential equations? dx dx. . Answer to Need help with the following problems. Image transcriptions 1) : Logistic Growth model is a differential equation of the form at -= AP ( 1 - R ) A = growth rate B : carrying capacity of the organism in a population P = population at any time t From the choices, the 2:0 choice is the only Differential Equation to follow this format. Shown above is a slope field for which of the following differential equations from MATH MISC at University of Washington, Seattle. The slope field for a certain differential equation is shown above. Which of the following could be a specific solution to that differential equation? (A) y = sin x (B) y = cos x (C) y = x2 (D) 3 1 6 y = x (E) y = ln x _____ 17. Consider the differential equation given by 2 dy xy dx = .. As the differential equation dy/dx is a function of y, plugging in the y-value 6 gives. dy/dx = 6/6 * (4-6) = 1 *-2 = -2, the slope you mentioned. If you look at the point (1, 6) on the slope field diagram, you can see a short downward sloping line, of approximately slope -2.

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