Calculus Archive: Questions from August 02, 2023
-
2 answers
-
3 answers
-
2 answers
-
2 answers
-
2 answers
-
2 answers
-
2 answers
-
0 answers
-
0 answers
-
2 answers
-
2 answers
-
2 answers
-
2 answers
-
2 answers
-
2 answers
-
0 answers
-
2 answers
-
2 answers
-
2 answers
-
2 answers
-
2 answers
-
0 answers
-
2 answers
-
2 answers
-
2 answers
-
2 answers
-
2 answers
-
2 answers
-
Find \( f_{x}(x, y) \) and \( f_{y}(x, y) \) for \( f(x, y)=\left(4 x^{3}-5 y^{2}\right)^{4} \). \[ \begin{array}{l} f_{x}(x, y)= \\ f_{y}(x, y)= \end{array} \]2 answers -
Find \( f_{x}, f_{y} \), and \( f_{z} \) for \( f(x, y, z)=e^{x-6 z}+7 \ln (x y z) \). \[ \begin{array}{l} f_{x}(x, y, z)= \\ f_{y}(x, y, z)= \\ f_{z}(x, y, z)= \end{array} \]2 answers -
f(x, y, z) = x²yz⁹ + 9xy - 4z fx(x, y, z) = fy(x, y, z) = fz(x, y, z) =
\( \begin{array}{l}f(x, y, z)=x^{2} y z^{9}+9 x y-4 z \\ f_{x}(x, y, z)= \\ f_{y}(x, y, z)= \\ f_{z}(x, y, z)=\end{array} \)2 answers -
Evaluate the indefinite integral. \[ \begin{array}{r} \int \sin 47 t \sec ^{2}(\cos 47 t) d t \\ +C \end{array} \]2 answers -
2 answers
-
2 answers
-
2 answers
-
How do I do 14
Finding Slope and Concavity In Exercises 9-18, find \( d y / d x \) and \( d^{2} y / d x^{2} \), and find the slope and concavity (if possible) at the given value of the parameter. Parametric Equation2 answers -
How do I do 18
9-18, find \( d y / d x \) and \( d^{2} y / d x^{2} \), and find the slope and concavity (if possible) at the given value of the parameter. Parametric Equations 9. \( x=4 t, \quad y=3 t-2 \) 10. \( x=2 answers -
solve all 3
3) Find the derivative of the following functions: (a) \( y=\left(\frac{1-x^{2}}{2 x^{3}+1}\right)^{5} \) \( y=\frac{e^{-2 x}}{1-e^{-2 x}} \) \( y=x^{\tan x} \)2 answers -
Compute the gradient vector fields of the following functions: A. \( f(x, y)=4 x^{2}+8 y^{2} \) \( \nabla f(x, y)=\mathbf{i}+\mathbf{j} \) B. \( f(x, y)=x^{6} y^{5} \), \( \nabla f(x, y)=\quad \) i+ \2 answers -
How do I do 14
Parametric Equations 9. \( x=4 t, \quad y=3 t-2 \) 10. \( x=\sqrt{t}, \quad y=3 t-1 \) 11. \( x=t+1, \quad y=t^{2}+3 t \) 12. \( x=t^{2}+5 t+4, \quad y=4 t \) 13. \( x=4 \cos \theta, \quad y=4 \sin \t2 answers -
2 answers
-
Calculate the double integral. \[ \iint_{R} \frac{4 x y^{2}}{x^{2}+1} d A, \quad R=\{(x, y) \mid 0 \leq x \leq 4,-3 \leq y \leq 3\} \] Step 1 Since the region is \( R=\{(x, y) \mid 0 \leq x \leq 4,-32 answers -
help please
Problem \#1: Which of the following functions is continuous at \( (0,0) \) ? (i) \( f(x, y)=\left\{\begin{array}{ll}\frac{x y^{7}}{x^{8}+4 y^{8}} & \text { if }(x, y) \neq(0,0) \\ 0 & \text { if }(x,2 answers -
a) \( y=x \) b) \( y=\frac{1}{4} x^{2} \) c) \( y=-3 x^{4} \) d) \( y=\sqrt[5]{x^{3}} \) e) \( y=\frac{5}{x} \) f) \( y=\frac{4}{\sqrt{x}} \)0 answers