Find the exact value of the variable. 18 27

Q: 1. Perform the indicated operation: v-9 x v-343. A. 21 В. 21i С. -21i D. -21

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Q: x´+ bx +90

A: The discriminant, D,  of the quadratic equation: ax2+bx+c=0 is calculated using the formula:…

Q: find:- fres=(+2) っ 2。=0 Tagler

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Q: eralvate s Ēodp where C is represientee ぐ F (Xっy)= yi 土 6+) = 28ti + tj

A: To evaluate: ∫CF.dr→F→x,y=xyi^+yj^rt=28ti^+tj^ ,     0≤t≤7

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A: Here we use the sphere coordinate to find the volume of solid.

Q: 69 9

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Q: IV4 +x dr

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A: Given that       c × 1 = c We have to show that, this belongs to which property.

Q: yo x² find De and

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Q: Evaluate: I (x – 3y)drdy

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A: The equation is given by 3xy+x2+y2 = 1 To evaluate: The expression of dydx

Q: 3 Find: Lim. 3+1

A: Given limz→1+iz2+1z2-1

Q: Simplify completely: (V5 + V7)

A: Given expression: 5+72

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A: We have to solve given problem:

Q: 8 K, when K-4

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Q: State by True/False : VXEZ, 3yEZx² - y² =9 O True O False

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Q: Use Substitution to #3 Answer ) Y = X + 4 2 -

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Q: 6. tan Z

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Q: +C, you would enter 2t. vide your answer below:

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Q: Type your answer in the space below then select "Check my answer" O Rnet gross tgross Where: Rgross…

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Q: x sin(2x2)dx

A: We have to find the integral.

Q: jtky-o let yco)=lo0 andyc2)=4 Findk

A: First order differential equation

Q: Apply Stoke's theorem to the square region in the yz plane with coordinates (0,0), (1,0), (1,1),…

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Q: State by True/False : VXEZ, 3yEZ x² - y² =9 O True O False

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Q: Evaluate by Algebraic Substitution: |1+ Vz dz 5.

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Q: : Find whether A and B are independent in the following case : (AB) = 256 , (a.B) = 768 , (Aß) = 48…

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Q: 25) Find mzDCA 50 +x D. 75+2x 175°

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Q: dzdydz a x X+y x+y+? dady de

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Q: /2z-2² dydz Evaluate: 7 Vz²+y? O-V3 0 1

A: We have to solve the integral  ∫032∫x32x-x2dydxx2+y2

Q: е. Va f. Vb20 Simplify: V3 g. J48

A: Given:  e. a5f. b203g. 348

Q: Ex: Find gof, Fex) メ-15 2. gcx) = gox) x+2X

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Q: dx 361+x²

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Q: 5n 4 Y

A: Given a right angled triangle XYZ, right angled at Y. also XY=4 XZ=5 YZ=3.

Q: A хо C 35⁰ B yo С

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Q: 17 8 A 15 20

A: Using pythogereon theorem  Consider the intersection point of BD and AC is O