Sketch the region A= {(x, y)|(y2-log, x)U(x + y² < 4)} .

Q: The width of a rectangle is 6 kilometers less than twice its length. If its area is 140 square…

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Q: 87) Simplify the expression. (-121)5/2

A: On solving this we will get

Q: -10 -71 [X1 3 14 8 -3 11 X2 || |-4 9. -6 3 X3 1 [-9 -2 10 15] [x4] [-9]

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Q: The deer population in a certain area increases at a rate of 2.2% per year. There are 2,143 deer in…

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Q: 9.) Graph the system of inequalities and indicate the solution set. x-y<4 x +y < 5

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Q: A utility pole is 8 m high. A cable is stretched from the top of the pole to a point in the ground…

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Q: 1. The fees for 9-months of college are shown below. How much would it cost, rounded to the nearest…

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Q: This equation is all about solving exponential and logarithmic equations in which solve 2e^2x-7=5.…

A: Given, 2e^(2x)-7=5 Simplifying the given equation we have, 2e^2x=5+7=12 e^2x= 12

Q: Find an equation for the line perpendicular to 2x+4y=28 and goes through the point (-2,3). Write…

A: topic- equation of line perpendicular to given line

Q: Evaluate the expression for the given value. a^ 2 when a=3/4​   Evaluate the expression for the…

A: This question can be solved using the concept of solving exponents.

Q: 5) How do you know that (2x-1) is a factor of 2x2 -17x+8? 6) How do you know that if…

A: Note: As per our company guidelines we are supposed to answer the first three sub-parts of the…

Q: Find an equation of the ellipse having a major axis of length 12 and foci at (5, 3) and (-3, 3). 2 2…

A: We want to find equation of the ellipse from the given data.

Q: Consider the following function. f(x) = x2 − 6x Write the function in the form  y = ax2 + bx + c.…

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Q: 22. Show with one picture that 2/3 is equivalent to 10/15 in a continuous case. Explain how your…

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Q: Q2 (a). Find the eigenvalues for the following matrix. [ -2 -1 A = I hope for a clear solution

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Q: Prove the following identities: sin? 0 - cos? 0 b) tan 0-1=- sin O cos0+ 0 cos²

A: We can prove the following as below.

Q: Write 3.31 x 10° in standard notation.

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Q: graph the exponienitial fünctlon f(x) =-2 (±)* plot fIve points on the graph Of the function and…

A: Given:       fx=-212x Graph using table of values.     x y -2 -8 -1 -4 0 -2 1 -1 2 -12

Q: 9. (log; x)² – log3 x = 3 %3D

A:

Q: If A = {x | x is an even integer}, B={x | x is an odd integer), C = (2, 3, 4, 5), and D = {8, 9, 10,…

A: We have to find out elements

Q: Consider this Preference Voting Table from 50 voters and 4 candidates Rank / Number of 19 14 10 7.…

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Q: The complex number z is defined by z = 3 -z+4-j where z is real. a) Find, in terms of z, the real…

A: I have appended the formula used in the solution part

Q: Find an equation of the line L that passes through the point  (−2, 8)  and satisfies the given…

A: Given Point P(-2,8) &amp; x-intercept = 3To find equation of line L:

Q: Evaluate L{- }. (s² + 81) (8 – 8)

A: First I have made the partial fraction and then by taking inverse Laplace transform find its Laplace…

Q: ections: Evaluate the derivatives of the following functions with respect to x and simplify the ults

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Q: en empties out her purse and finds 45 colns, ting entirely of hickels and pennles. If the total…

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Q: Find fog and g o f. f(x) = /x + 5, g(x) = x2 (a) fog (b) gof Find the domain of each function and…

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Q: If log, 5 = 0.83, then logs 7 = %3D

A:

Q: Find the vertices, asymptotes, and foci of a hyperbola with the equation (x+1)^2 - (y-3)^2 = 4.

A: To find the vertices, asymptotes, and foci of a hyperbola with the equation, x+12-y-32=4.

Q: Find the characteristic equation and the eigenvalues (and a basis for each of the corresponding…

A:

Q: Linda bought an 8 foot long piece of framing to frame her 2 college awards. One award is 8.5 inches…

A: Given: One Award dimension =8.5 in x 11 in Another one dimension =11 in x 17 in Frame length =8 foot

Q: 4. Show that a 6 a + %3D

A: Here simply open the squre term and then simplify as a.b=b.a

Q: 6. log, xy z

A: Since we are given with the multiple number of question and answered according to the guideline

Q: Simplify the following expression. Assume that the variables represent positive real numbers. 5/3…

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Q: You buy a $266,000 home with a down payment of 23%. Find the amount of the down payment and the…

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Q: . Prove that the vector length is preserved by orthogonal matrix multiplication. That is , if x ER'…

A: We have to prove the lemma.

Q: Can u please help me with d and e

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Q: At the ice cream shop, there are 18 flavors of ice cream available. How many ways can you select a…

A: Combination

Q: Multiply. бу 16y + 8 12y +6 7

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Q: For the matrix, list the real eigenvalues, repeated according to their multiplicities. 3 -4 0 7 3 4…

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Q: 6x2 = 21x %3D

A: Given :

Q: Verify that 1; is an eigenvalue of A and that x; is a corresponding eigenvector. 7 A = d1 = 7, x1 =…

A: The given matrix is;  A= 7 0      0 -7.

Q: Calculate the future value. (Round your answer to two decimal places.) P = $4600, r = 12%…

A: Given, P = $4600,  r = 12% compounded semiannually,  t = 10 years  We know that formula for  future…

Q: Solve: a) 7-5(-4+10) 2. find the determinant OF THE MATRIX BELOW B = 4   1   3 2   -1   2 3…

A: Given query is to solve the expression and find the determinant if the matrix.

Q: x² - 9x + 14 = 0

A: Since you have asked question 1,

Q: Solve the following equation. V3x +4 – 4 = 0 Select the correct choice below and, if necessary, fill…

A:

Q: 9. Use a graphing calculator to d

A: as per guidelines i can only answer on question . answer is in next step

Q: Which two lines do not pass through B nor F? E EDC DBF СВЕ ACG

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Q: Use Pascal's Triangle to help find the missing values. * – 42° + 6x² – ax +1

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Q: ind the shape using the discriminate form (B^2 - 4AC) of the equation y^2 - 6y - 4x^2 - 8x = 95.

A: Topic = Geometry