With usual notations show that : 1 +e. (i) eº = 2 (ii) P = - 1+e x +1

Q: [a b] (e) Let B be any 2 x 2 matrix. d [cos a] sin a = U11 (i) Show that there are real numbers u11…

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Q: 2(h+1)=6h-7

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Q: Simplify : [√(x + h) - √x) / h

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Q: Using the figure below, where f' (3) = 2.1.f' (6) = 3.0,f' (9) = 3.7,f' (12) = 4.2, find (f-1)'(12).…

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Q: In each part, use the given information to find A. (7A)-1 (b) (7A) -3 [] -2 = (d) (/+2A)-! = 2 4 5

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Q: ty P(1, 5) 4 2 A(-1, 2) -4-2 0

A: centre→ (-1 , 2)radius→ 4

Q: What isthe value of 36x-8y² when x = 3 and y = -6?

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Q: V(X) = i

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Q: Write y=2(0.5x-6)(6-24x) in the form y=k(x-r)(x-s) and give the values of k,r,s.

A: We have to factor out 0.5 and -24

Q: Solve for x. * (7x) (7x) I (4x) (4x)) F (7x) (7x)/ H. O x= 36 O x= 20 O x= 10 O x = 24

A: the sum of the interior angles of a hexagon is 720 degrees.

Q: Which value(s) of x satisfies the equation Vx? -4x –5 = 2x – 10 {3, 5, 7} {5} {5, 7} O {7}

A: Given an equation x2-4x-5=2x-10 To find the values of x that satisfy the equation

Q: Simplify (ex)5 . e(7x + 6) to the form eA x + B) = eC. eDX where %3D A = B = C = D =

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Q: Express 0 in each figure in terms of x. (a) 4 0 3= (b)

A: Using the trigonometric ratio  tan θ=PB  tan θ=x4   θ=tan-1 x4

Q: Given that z = V3+i. (a) Find z10 and express your answer in the form a + ib, where a and b are real…

A: Given that  z=3+i Let z=reiθ=rcosθ+isinθ, then rcosθ=3, rsinθ=1 ⇒r=3+1=2 and θ=tan-113=π6. So,…

Q: If f(x) = x2 – 6x and g(x) = 6 – x³, evaluate the following. %3D a. (f+ g)(- 2) b. (g - )(- 4) c. (f…

A: The given functions are f(x)=x2-6x  &  g(x)=6-x3

Q: If x ∗ y = 2x – 3y + 4xy, find the values of 5 ∗ 2 and 3 * 2/5.

A: The solution is as

Q: 3.) Simplify (0.75x + 2y) - (0.3x – 0.6y)

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Q: What is the value of sec¹(2)? A B C D 5 T 되어 3 -- 3 3 5T 3

A: Let sec-12=x  then     secx=2 As secant is the reciprocal of the cosine function, i.e.…

Q: 3/4 mDH= 24. If MMOP= (11x-38)' and MZLMP = (3x + 41)', find MZNMP. N M NMP= 25. If mRU = (16x –…

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Q: If y = 12 when x = 6/7, find x when y = 16

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Q: e: 9 (-3y/4)´ (2y'/3), so your answer is in the form ay. SO

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Q: Evaluate the following r+1 (1) -1+1 (i) 1² – x + 2

A: Given: I=∫x+1x2-x+1dx For evaluating given integral, we simplify given expression then integrate it

Q: over Z5 Perform the following calculations (a) 2.3 = = (b) 3.4-4 (c) 4-1 =

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Q: O Simplify the following equation using positive indices only 39(3x+2)16(2x+0.5) 12 + 32(*)27(x+1)

A: Separate power of 2 and 3.

Q: If x = 4, what is the value of x(17 - x)?

A: Given  X = 4

Q: 9. ICHTHYOLOGY As part of a science project, Usama studied the growth rate of 797 green gold catfish…

A: Let, X=the length of green gold catfish Given that X follows a normal distribution with mean=4.69…

Q: %3! Let A(r) = | f(t)dt for the function f(t) graphed below. Evaluate A(x) for a = 2 and 5. 2 5.…

A: Find area under the curve A(x) from 0 to 2 and 0 to 5

Q: Suppose that the cost (in dollars) for a company to produce z pairs of a new line of jeans is C(z) =…

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Q: Evaluate. j(x) =7 and j(x) = -7

A: Simply equate the both equations and solve for x.

Q: Find the reference number for each value of t. 137T (a) t=. 107T (b) t= - 7 (c) t= 6 (d) t= -7

A: Reference number of a number is the shortest distance along the unit circle between the x axis and…