Use a calculator to construct a slope field for the differential equation dy/dx = x + y and sketch a graph of the particular solution that passes through the point (2, 0). 相关知识点: 试题来源: 解析 The calculator produces a graph like the one in Figure 6.5a. Notice the following ...
Find {dy} / {dx}. y = 4 ln x + 7 log_4 x Evaluate the expression. log_10 sqrt 10 Completely condense the logarithm: \frac{1}{3}\log_{10}x-\frac{1}{2}[\log_{10}(x+y)]. Simplify the logarithms below without using a calculator. log 1 + log_2 32 Express as a single ...
Answer to: Find dy / dx. y = 7 ln x + 3 log_7 x. By signing up, you'll get thousands of step-by-step solutions to your homework questions. You can...
Use a calculator to find a decimal approximation for the following trigonometric function. cot 225 30' Solve: \sqrt 3 cosec x + 2 = 0 on 0, 360^o is an acute angle Given cot = 2, find sec . Find for \frac{dy}{dx} for 2 \sin x \cos y = 1. ...
Compute {eq}\displaystyle \int_0^1 \int_{\sqrt x}^1 \cos (y^3)\ dy\ dx {/eq}. Double Integral: If {eq}f {/eq} is a continuous function on a region {eq}D {/eq} such that {eq}D = \{ (x,y) | a \leq x \leq b, g_1(x) \leq y \leq g_2(x) \}...
Find d/dx ln (1 + x). Find y' for y = {1 + ln x} / {x^2}. 4. Consider the equation (x + y) dx + x ln x dy = 0, with x > 0 How do you find ln (e^6)? Calculate the given natural logarithm without using a calculator. ln (1) Calculate the given natural logarit...
Answer to: Calculate dy/dt in terms of dx/dt. (a) x^3-y^3=1 (b) y^4+2xy+x^2=0 By signing up, you'll get thousands of step-by-step solutions to your...
a) Write the expression in terms of natural logarithms. (Express all logarithmic functions in terms of ln (x) in your answer.) log_{8.8} (139) = b) Give a calculator approximation (correct to four decimal places). log_{8.8} (139) is app...
Lastly, we apply the initial condition to find the value of {eq}C {/eq} Answer and Explanation: We have to find to the nearest integer the value of {eq}C {/eq} that satisfies {eq}\displaystyle \left(y - 6\right) dy = \dfrac{...
Answer to: Find: y=(x)^\sin(x). Find \frac{dy}{dx} by taking natural log both sides. By signing up, you'll get thousands of step-by-step solutions...