Please solve the following 2 functions according to the information given and show all the steps Plz
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Please solve the following 2 functions according to the
information given and show all the steps...
1. Express the limit as a derivative and evaluate. 17 lim 16+h-2 lim 2. Calculate y. tan x 1 + co...
1. Express the limit as a derivative and evaluate. 17 lim 16+h-2 lim 2. Calculate y. tan x 1 + cos x y sin(cos x) y= sec(1 +x2) x cos y + sin 2y xy Use an Implicit Differentiation] 3. Find y" if x, y,6-1. [Use Implicit Differentiation] 4. Find an equation of the tangent to the curve at the given point. 121 12+ 1 [Use Implicit Differentiation] 4. Find the points on the ellipse x2 + tangent line has...
NOTE: Show all steps in your solutions. Only partial credit will be given if steps are...
NOTE: Show all steps in your solutions. Only partial credit will be given if steps are not shown though the final answer is correct. 1. Show that the real and imaginary parts of the complex-valued function f(x) = cot z are sin 2.c sinh 2 u(x,y) = v(x,y) cos 2. - cosh 2y' cos 2. - cosh 2y (cot z = 1/tanz) [20 points) 2. Obtain the equilibrium points of the following system of 1st or- der ODE and classify...
1) 2) 3) Use linear approximation, i.e. the tangent line, to approximate 15.22 as follows: Let...
1)
2)
3)
Use linear approximation, i.e. the tangent line, to approximate 15.22 as follows: Let f(x) = z² and find the equation of the tangent line to f(x) at x = 15. Using this, find your approximation for 15.22 Given the function below f(x) = -180x3 + 396 1. Answer in mx + b form. Find the equation of the tangent line to the graph of the function at x = L(2) Use the tangent line to approximate f(1.1)....
NOTE: Show all steps in your solutions. Only partial credit will be given if steps are...
NOTE: Show all steps in your solutions. Only partial credit will be given if steps are not shown though the final answer is correct. 1. Show that the real and imaginary parts of the complex-valued function f(2) = cot z are - sin 2x sinh 2 u(x, y) v(x,y) cos 2.c – cosh 2y' cos 2x - cosh 2y (cot z = 1/ tan ) [20 points)
The given point is on the curve. Find the lines that are (a) tangent and (b)...
The given point is on the curve. Find the lines that are (a) tangent and (b) normal to the curve at the given point. 4x2 + 3xy + 3y2 +17y - 4 = 0,(-1,0) (a) Give the equation of the line that is tangent to the curve at the given point y = (b) Give the equation of the line that is normal to the curve at the given point. y = Suppose that fis an odd function of x....
Question 1. Compute the derivative of the following functions.
Question 1. Compute the derivative of the following functions.(a) \(f(x)=x^{3}-\frac{2}{\sqrt{x}}+4\)(b) \(f(x)=2^{3 x-1}\)(c) \(f(x)=\ln \left(5 x^{2}+1\right)\)(d) \(f(x)=\frac{\tan (x)}{x^{2}+1}\)(e) \(f(x)=e^{x^{2}} \cdot \arctan (2 x)\)(f) \(f(x)=\sin (x)^{2} \cdot\left(\tan (x)+\cos (x)^{2}\right)\).Question 2. In geometry, the folium of Descartes is a curve given by the equation$$ x^{3}+y^{3}-3 a x y=0 $$Here, \(a\) is a constant.The curve was first proposed by Descartes in 1638 . Its claim to fame lies in an incident in the development of calculus. Descartes challenged Fermat to find the tangent line...
please solve the following question and show all the steps. Thank you. Question 2. We say...
please solve the following question and show all the steps.
Thank you.
Question 2. We say that a function f is invertible if f--{(ba) : (a, b) function, in which case we call it the inverse function to f. Notice that f} is also a f- (b) = a-> b = f (a) (assuming that f-1 is a function). We define the range of a function f DR to be the set {f(x): r E D], i.e., the set of...
please show all your work i am really trying to understand how to solve these Find...
please show all your work i am really trying to understand how to
solve these
Find the equation of the tangent line to the graph of f(x) at the given point. f(x) = 32x+32 at (1,8) Show all of your work on paper and submit it on canvas. your won't get The equation of the tangent line to the graph of f(x) at the given point is Find the equation of the tangent line to the graph of f(x) at...
question starts at let. than one variable. Let f:R? → R3 be the function given by...
question starts at let.
than one variable. Let f:R? → R3 be the function given by f(x, y) = (cos(x3 - y2), sin(y2 – x), e3x2-x-2y). (a) Let P be a point in the domain of f. As we saw in class, for (x, y) near P, we have f(x, y) f(P) + (Dpf)(h), where h = (x, y) - P. The expression on the right hand side is called the linear approximation of f around P. Compute the linear...
Please explain b! 2. Let z = f(x, y) = ln(4x2 + y2) (a) Use a...
Please explain b!
2. Let z = f(x, y) = ln(4x2 + y2) (a) Use a linear approximation of the function z = f(x,y) at (0,1) to estimate f(0.1, 1.2) (b) Find a point P(a,b,c) on the graph of z = f(x, y) such that the tangent plane to the graph of z = f(x,y) at the point P is parallel to the plane 2x + 2y – 2=3
1. Express the limit as a derivative and evaluate. 17 lim 16+h-2 lim 2. Calculate y. tan x 1 + cos x y sin(cos x) y= sec(1 +x2) x cos y + sin 2y xy Use an Implicit Differentiation] 3. Find y" if x, y,6-1. [Use Implicit Differentiation] 4. Find an equation of the tangent to the curve at the given point. 121 12+ 1 [Use Implicit Differentiation] 4. Find the points on the ellipse x2 + tangent line has...
NOTE: Show all steps in your solutions. Only partial credit will be given if steps are not shown though the final answer is correct. 1. Show that the real and imaginary parts of the complex-valued function f(x) = cot z are sin 2.c sinh 2 u(x,y) = v(x,y) cos 2. - cosh 2y' cos 2. - cosh 2y (cot z = 1/tanz) [20 points) 2. Obtain the equilibrium points of the following system of 1st or- der ODE and classify...
1)
2)
3)
Use linear approximation, i.e. the tangent line, to approximate 15.22 as follows: Let f(x) = z² and find the equation of the tangent line to f(x) at x = 15. Using this, find your approximation for 15.22 Given the function below f(x) = -180x3 + 396 1. Answer in mx + b form. Find the equation of the tangent line to the graph of the function at x = L(2) Use the tangent line to approximate f(1.1)....
NOTE: Show all steps in your solutions. Only partial credit will be given if steps are not shown though the final answer is correct. 1. Show that the real and imaginary parts of the complex-valued function f(2) = cot z are - sin 2x sinh 2 u(x, y) v(x,y) cos 2.c – cosh 2y' cos 2x - cosh 2y (cot z = 1/ tan ) [20 points)
The given point is on the curve. Find the lines that are (a) tangent and (b) normal to the curve at the given point. 4x2 + 3xy + 3y2 +17y - 4 = 0,(-1,0) (a) Give the equation of the line that is tangent to the curve at the given point y = (b) Give the equation of the line that is normal to the curve at the given point. y = Suppose that fis an odd function of x....
please solve the following question and show all the steps.
Thank you.
Question 2. We say that a function f is invertible if f--{(ba) : (a, b) function, in which case we call it the inverse function to f. Notice that f} is also a f- (b) = a-> b = f (a) (assuming that f-1 is a function). We define the range of a function f DR to be the set {f(x): r E D], i.e., the set of...
please show all your work i am really trying to understand how to
solve these
Find the equation of the tangent line to the graph of f(x) at the given point. f(x) = 32x+32 at (1,8) Show all of your work on paper and submit it on canvas. your won't get The equation of the tangent line to the graph of f(x) at the given point is Find the equation of the tangent line to the graph of f(x) at...
question starts at let.
than one variable. Let f:R? → R3 be the function given by f(x, y) = (cos(x3 - y2), sin(y2 – x), e3x2-x-2y). (a) Let P be a point in the domain of f. As we saw in class, for (x, y) near P, we have f(x, y) f(P) + (Dpf)(h), where h = (x, y) - P. The expression on the right hand side is called the linear approximation of f around P. Compute the linear...
Please explain b!
2. Let z = f(x, y) = ln(4x2 + y2) (a) Use a linear approximation of the function z = f(x,y) at (0,1) to estimate f(0.1, 1.2) (b) Find a point P(a,b,c) on the graph of z = f(x, y) such that the tangent plane to the graph of z = f(x,y) at the point P is parallel to the plane 2x + 2y – 2=3
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