這題偏微分幫幫忙了🙏

Question_10 If z is defined implicitly as a function of x and y by the equation 2x² - 3y² + z² + 6xyz = 1, then Əz ax 2z+6xy 1. 4x+6yz 2. 3. - 2z+6xy 4x+6yz 4x+6yz 2z+6xy 4x+6yz 4. - 2z+6xy

有人解得出這三題偏微分題嗎？

Question_2 1.3x4y² ex¹³ 3 3 2.4x³y³4x³y³ 3.3x4y²e 3x4y² 4.4x³y³ ex¹y³ a dy (ex²y³) =

想請問這題，是清大先修課（微積分）的題目！ 有點看不太懂詳解⋯⋯ 非常感謝！><

微積分 w1 ex02-01q3 (單選題) Let f (x) = 2x, c = 1, = 0.1, L = 2, pick up an appropriate positive number 8 from the following options such that if 0 < |x − 1| < 8, then |f(x) − L| = |2x − 2| < € = 0.1. ○ 8 = 4 O 8 = 0.049 8= 0.051 8 = 0.1 解答: "8=0.049 " 詳解: Observe that | 2x-21 = 2|x1| < 0.1 = >> |x1|< 0.1 = 0.05. 2 Hence for &= 0.1, we can take any positive number 8≤ 0.05, such that if 0 < |x − 1| < 8, then |f(x) – L| = |2x-2| 2x 128≤ 2 0.05 = 0.1 = ε.

要用什麼test來判斷這題會不會收斂

Z n=2 (Inn)lan

請問第25怎麼做？

Using Substitution Evaluate the integrals in Exercises 25-30 b to integration by parts. 25. 29v parts.w bonidmo od .1 eV3s+9 dsimuzzA29 26. eA. 9126. 90 S x 0 motorT [stnamebnu π/3 13 C

求第13題的做法

ility ist e² + ez (X) bas or to heq ross,so brio 11. 13. 1 4 dx 1 + (2x + 1)² - dt - sec t .nou 1 + sin 0 15. cos² 0 de

求解第四題的旋轉體表面積（繞y軸）

revolving the given curve about the indicated Tb. Graph the curve to see what it looks ke. If the surface too. T c. Use your utility's integral evaluator to find t numerically. 1. y = tan x, 0 ≤ x ≤ π/4; x-axis 2. y = 3. xy = 1, 1 ≤ y ≤ 2; x², 0 ≤ x ≤ 2; x-axis y-axis V 4. x = sin y, 0 ≤ y ≤ π; y-axis 5. x1/2 + y1/2 = 3 from (4, 1) to (1, 4); x-axis 6. y + 2√y = x, 1 ≤ y ≤ 2; 7x=siny Ct y-axis

求求這題詳解

Compute lim x²+2 X-9 √x-3

想問這題怎麼算

28. A trough is 6 m long and its ends have the shape of isos- celes triangles that are 1 m across at the top and have a height of 50 cm. If the trough is being filled with water at a rate of 1.2 m³/min, how fast is the water level rising when the water is 30 centimeters deep? goal: dh dt

想問這題要怎麼算🙇‍♀️

37. Consider a sample with a mean of 30 and a standard deviation of 5. Use Chebyshev's theorem to determine the percentage of the data within each of the ranges which follow. LO 5 a. 20 to 40 b. 15 to 45 c. 22 to 38 d. 18 to 42 e. 12 to 48