When does a(b+c) result as a positive value for ac?

Q: Evaluate (x² + 1)dA. Where D is shown below. y = -4 + x2 2-1 0 -2- 1 /2 3 X y = 4 – x2 2.

A: To evaluate the given double integral.

Q: b) Rationalize the numerator of 1 1 √7(x+h) √Tx - h Simplify your answer to the form A = A " where

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Q: Jx sin 8xdx is O a. -xcos 8x sin 8x + 64 O b. - xcos 8x sin 8x 8 64 O C. xcos 8x sin 8x 8 +c 64 O d.…

A: ∫x sin8x dx On integrating by parts, we get ∫x sin8x dx=x·∫sin8x dx-∫dxdx·∫sin8x dx…

Q: Evaluate 16a + 2-0.5b when a == and b = 14 | %3D

A: Given f(a, b)=16a+2-0.5b

Q: a|b then albc for all integers c.

A: From the question, a|b means that a divides b, and similarly, a|bc means that a divides bc. We need…

Q: 3. 7)= Find the bol.

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Q: 10 a.) Completely simplify E ()2* i=0 b.) Expand (1 – r)® and simplify. c.) Expand (r +r-1)5 and…

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Q: а — b 2. Rationalize the following expression: c + di.

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Q: .4 dx (x² + 9)2

A: To evaluate the following integral.∫x4 dxx2+92

Q: D 20. Marco wants to show that x³-y - (x-y)x² +xy +y is true for all values of x and y. Marco makes…

A: The given identity is  x3-y3= (x-y)(x2+xy+y2)

Q: da Use a trig substitution to evaluate x2 V9- x

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Q: Evaluate the followng- (メー2メ+3) dx ー2 Cos (70+5) dO

A: Formula used: 1)∫xn dx=xn+1n+1+C and 2) ∫cosx dx=sinx+C, where C is integrating constant. Given: 1)…

Q: Suppose that n(A) = 17, n(A n B) = 9, and n(A U B) = 24. Find n(B). n(B) 8 x

A: Given that n(A )= 17,n(A∩B) =9,n(A∪B) =24,n(B ) =?

Q: 1 2 Perform the indicated operations when A = 0 -1 A(I + A) = =

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Q: 1 Evaluate dz, where (i) C is z+ = 2 .2 +1 C

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Q: 3/2n 7. Find proj in terms of: (a) b)

A: Solution of the problem as follows

Q: 4-( + 3xy

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Q: '1 2 -4 3 135 Q1: A= 3 1 -2 Find The inverse of A? 5

A: Given information:The matrix .To find:The inverse of .Formula used:For a  matrix , the inverse  is…

Q: 2 4 -10 -1 0 -6 -3 1 1 2. Let B = Determine the inverse, B.

A: The given question can be solved as shown in step2

Q: Evaluate x +3 dx (x – 1)(x² + 25)

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Q: If x? – 2x – 3 = (x+ A)² – B² , then the value of Bis %3|

A: Given that   x2-2x-3=(x+A)2-B2,  we have to find the value of B. To solve the problem we first…

Q: 3 Evaluate: (12t3 – 12t2 + 6)dt

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Q: : / (12t³ – 12t² - + 7)dt Evaluate:

A: Solve the definite integral

Q: For a, b E R, calculate (ax + b)dx (x²+1)²(x²+4)*

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Q: Evaluate fS (ax³ + by³ + Va² – x²) dA for D = [-a, a] × [-6, b] D

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Q: 00 2dx %3D x2 - 1 3. A. In3 B. In2 C. In 3. 3. In - D. E. In-

A: ∫3∞2x2-1dx

Q: Find the multiplicative inverse of ( v2, -V5 ).

A: Solution

Q: arg((1+ i)(1 – i) + (-1,–1)) 7n A. + 2kn 4 " + 2kn В. 4 5n С. + 2kn 4 D. None of above

A: firstly , we will simplify the terms inside the bracket and, then we will use formula for argument…

Q: product of y64 · V8 can be expre

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Q: Evaluate x +3 (x – 1)(x² + 25)

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Q: [5 A = Let -3 -4 1 C = B = and 2] simplify AB+AC

A: Use the property of Matrix addition and multiplication to get this.

Q: y = 5* – 8

A: A function is a relation which maps each value in its domain to exactly one value in its range.…

Q: 5. x + y 10x + 8y + 16 = 0 %3D -

A: Consider the following equation of curve:…

Q: Find the integrals using integration by parts. b. [ Vx In /xdx

A: Consider the given: ∫xlnxdxIntegration by parts:∫udv=uv−∫vdu

Q: 3x+9 What is the value of x in the equation 2 3 O -7 O -5 O 5 O 7

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Q: Find determinent [3a 3b 3c -d -e -f 4g 4h 4i]

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Q: Q2: Evaluate f sec²0 √tan²0-1 = do

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Q: 9. |(x – 1)² -

A: