Given: 3(x + 2) = 15 Prove: x = 3

Q: Let h(x)=(x2−3x+2)/(−x2−4x+4,) what is h′(−5)? Do not include "h′(−5)=" in your answer. For…

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Q: 7. Apply Lagrange interpolation formula to find k, given that P2(3) = 35 2 5 f (x) 2 k 275

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Q: Solve the initi al value pro blem:s' (x)=Seckta nx-2X1F(0 23

A: Given: Initial value problem f'(x)=secxtanx-2x f(0)=3 Formula used: ∫secx tanx dx=sec…

Q: The average pollen count in a certain city on day x of the pollen season is P(x) = 6x − 0.2x2 (for…

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Q: 9. For |x|<1, prove that 8x 16x 24x 1-x1+x 1-x 2 8x 8x = 1+ (1 – x)? (1+x2 (1-x)? ...

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Q: If f'lx)=4x³+ 3x²+1 and fe)=S, what is feoi)?

A: Given,            f'x=4x3+3x2+1 and f1=5To find : f-1

Q: Which of the following is NOT true about the DE: 6xr?ydx+2x³dy=0?

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Q: : 2 < x < 4} and B = {x € R : –4 < x < 1}. Prove

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Q: 22. Differentiate the following with respect to the variable x, giving your answer in a implified…

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Q: of Voots of the equation. 2x+3X+5=0 is The muttiple is Ę 2. 3 Prove That The sum

A: Use the formula for the sum and product of the roots of a quadratic equation.

Q: 1 Given that x 2 Vx, express 4* + 4* as a single power of 4.

A: We have to express 4x + 4x as a single power of 4.

Q: Prove that Σ", (2i-1)-. .

A: Disclaimer: Since you have asked multiple questions, we will solve the first question for you. If…

Q: Determine the general solution of the following Efuler equatión for x>°, g-2xy-4y= \0x using the…

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Q: so be it r = 3xi + yi – 2zk and f (r) = –- where r| = find all of grad(f) and div ()

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Q: For ƒ(x) = sin x, find ƒ"(x), ƒ″(x), ƒ‴(x), and ƒ(4)(x). What is ƒ(4n)(x) when n is a nonnegative…

A: Given  f(x)= sinx Lets take first derivative f'(x)= cos(x)f''(x)= -sin (x)f'''(x)=…

Q: Now it is mentioned that R >> A. So we can also say that 2R >> A. Hence 2R + A× 2R.

A: If x≫y , then it can be said that the quantity x is significantly larger than the quantity y .

Q: Q 4. (a). Show that fog = 4x² – 1, if ƒ(x) = 4x – 5 and g(x) = x² +1.

A: a. Given: The functions fx=4x-5 and gx=x2+1, To find: f∘g=4x2-1, Formula used: (f∘g)(x)=f(gx).

Q: given 7(x-1)=2(3x+2) prove x=11

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Q: Given that 32a × 11º = 274x × 332× express a in terms of x?

A: Find your answer below

Q: 3. By subtracting and applying Green's Theorem again, show that (gVf – fVg) · nds for-1 ef – fv°g)dA…

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Q: ( ग০) (১০ for the following func tion ? -WX-+5inZっメー +SinZっメー

A: w=x2+y2-z+sin zx+y=z(∂w∂y)x =ddy(x2+y2-(x+y)+sin(x+y))            =[0+2y-1+cos(x+y)(0+1)](∂w∂y)x…

Q: 9. Find the general solutions of X' = AX with A =

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Q: 1. Given that r + px+q and 4x +q have a factor (x-r) where p,q and r are non-zero. Show that 4p…

A: topic - quadratic equations

Q: Prove that if x - Exp (A), then E (x²) = 2A².

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Q: Complete the following proof. 6. Given: 8x - 5 = 2x +1 Prove: x = 1 Proof Statements Reasons a. 8x…

A: Given that: 8x-5=2x+1

Q: Show if z = 2 + 4i satisfies z? – 4z + 20 = 0

A: To show that a value or number satisfies an equation, we substitute the value in the equation and…

Q: The characteristic of Z3[x] is 6. a) True b) False

A: Determine whether the given statement is true or false.

Q: Given: &lt;1 = &lt;2;&lt;4=&lt;5 What can you prove about PQ and RSI Be prepared to give your…

A: Given: ∠1=∠2, ∠4=∠5 We know that in a triangle if two angles are equal then there corresponding…

Q: 2 Xi. にく prove thate 2.

A: Given that  We have to prove the given expression:

Q: For #1 and #2, write a 2-column proof. 1. Given: 5(2x – 8) = 30; Prove: x = 7 5C2x-8)30 Gioen…

A: Question is solved.

Q: Given the preconditions for x and y as |x – y| ≤ 200, |2x + y - 150| ≤ 250, show the post-conditions…

A: The complete solutions are given below

Q: 5. For z=x2siny show that 332 332 = дудхду дугдх

A: Topic = Derivative

Q: Suppose x-j, for j-0, 1, 2, 3 and it is known that Find Po123(1.5). P₁1(x)=x+1, P₁2(x)=3x-1, and…

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Q: The average pollen count in a certain city on day x of the pollen season is  P(x) = 4x − 0.2x2 for…

A: The average pollen count in a certain city on day x of the pollen season is P(x)=4x-0.2x2…

Q: Show that 2Vx < e* for all real numbers x.

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Q: The Intermediate Value Theorem can be used to prove that the equation z² - 5x+6=0 has at least one…

A: Given :x2-5x+6=0

Q: Suppose that X is a (A = e-100, p = 3e-100)-BCP. %3D What is P(X(1)X (2)X(3) = 4)?

A: Correct answer is 4.

Q: HW KLX) = 2x+5 7 -1. Find ke-²¹ (x) 2. Prove by kok orklok

A: Let's find inverse function.

Q: Given: 5(2x – 8) = 30; Prove: x = 7 -

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Q: Prove that there is a solution of the equation 2° + x² + 4 = 0, x in R.

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Q: Q4/ If A = 3 - l: prove A-A-5I = 0

A: Given that: A=213-1

Q: S 1+ Vxdx 3

A: We need to evaluate the integral

Q: and (A) (B) = x, = 2x, = 3x, Show that if 8. N N (AB) _ (BC) _ (AC) 1 = y, then the value of neither…

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Q: 2. 2. (xij-X-) Xij-.. prove thate

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Q: The number of units in Z29[x] is

A: Solution by using definition of unit elements

Q: 3, 5x 60(x2 + *), 3 b) Y = In 7.

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Q: "8 does not divide x^2– 1 if x is even". prove it directly

A: We need to prove  8 does not divide x2 - 1 , if x is even. OR if x is even, the 8 does not divide x2…

Q: -X+5 SY STEM= ** -*+Sy SY STEM = + bt) -t

A: This is a problem of differential equation.

Q: 29. For |x|<1, prove that 16x 24x 8x 1 + 1-x1+x 1-x ..... .. 8x 8x = 1+ (1- x)? (1+x)²' (1-x)?

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