要用什麼test來判斷這題會不會收斂

Z n=2 (Inn)lan

請問這題要怎麼解？（積分）

Evaluate the integrals in to integration by parts. 25. e√3s+9 dsimuzzA monood lon π/3

1.要怎麼求他的收斂半徑 2.x項的Cn 和 Cn+1是誰放在分母 求解🙏

00 56. Σmmxm M m=1

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

右下角是解答，但我一直算不出來，請幫我解答一下，還有過程

Apply elementary row operations to transform the following matrix first into echelon form and then into reduced echelon form. 64-5 3 -6 3 -7 -7 8-589 3-9 12-96 15 1 0-2 3 0 -24 0 1 -2 2 0 -7 000014 62 62

請問這個的嚴格證明怎麼寫，問了很多次ai還是看不太明白......

5x-2 (1)證明 limx=20<x-4 x-4 7 (x-2)(x+2) 37

請問這題要怎麼算？

7. (10 points) Solve the given initial problem: dy dx x=0. yex² x = where y=1 when

求解第7~9題，為什麼答案是這個，感謝

期不考衱等。 1. 已知函数f(x)=(1+4x)3,試求f(-1)= 108 (Derivative at x=-1) 2.已知函数 f(x)=v1 – 3x 試求f(-5)=- (Derivative at x=-5)- 3. 已知函数 f(x)= (2x + 3)*•(3x + 2)′,試求f(-1)= -6 (Derivative at x=-1)- 4. 已知函数f(x)=(x2)3,則f'(-2)=450。(Derivative at x-2)- 5. 已知函数f(x)==,則 f(*)(-1)= -24 -- 6. 已知函数 f(x)=4x* - 4x®−x² + 3x -2. 貝則 f( (1)=480 7-9 已知f(x)的導函數f'(x) = (x-2)²(x + 1),則函數f(x)之图形的 7.臨界數(critical Number)(P. 127)為何? 8. 遞增(Increasing)區間為何? (-1,2),(2,∞)。一 9.x 在何處有相對極小值(Local Minima)? x=-1 acer 樣式

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