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 sl**ope 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=β1 6) dy dx y x=β / x y dy/dx 0. Calculus. Calculus questions and answers. **Shown above is a sl**ope 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 sl**ope 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: π¦' = π₯. By integrating this, we would obtain π¦ = (1/2)π₯² + πΆ. 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 sl**ope 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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