Compute the orthogonal projection of 7 = projz (7) = onto the line L through and the origin.

Q: Siven the arithmetic sequence-4, 16, 36, 56 ind the #35

A: Topic :- sequence and series

Q: Exercise: Three students calculated the volume of a cylinder. Each used a different strategy. 1.…

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Q: Match each equation with the graph of f, g, h, or k in the figure. k (A) y = 7* (B) y = (0.7)* X (C)…

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Q: 12. Shannon's new car sold for $21,000. Her online research indicates that the car will depreciate…

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Q: 1+x² Find the area of the region bounded by the curve y=- and the lines y = 0, y = x,x=2. 2x2

A: Follow the procedure given below.

Q: (e) log, (x - 1) + log, 3 = log a

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Q: Write the following equation of the parabola in standard form: y²-6y - 6x3 = 0 m 1

A: Topic:- Geometry

Q: Jefferson is plotting the vertices of an isosceles right triangle on a coordinate graph. H has…

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Q: Solve for x the inequality | 15 | <18 |x 9

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Q: b. log₂(x 3) = log₂ 9

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Q: and each of the numbers below. mplify your answers as much as possible. The opposite of 7: The…

A: Given query is to find the opposite numbers.

Q: se the graph of f shown in the figure sketch the graph of each of the following. (A) y=f(x)-3 (B)…

A: f(x) graph given, let's find y=f(x+2) graph.

Q: A right triangle has side lengths 5, 12, and 13 as shown below. Use these lengths to find sin A, tan…

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Q: Find the minimum value of f(x,y,z) = x² + y² +z² subject to - 8x - 4y + 2z = -84. The value of f at…

A: We use Lagrange multipliers method for optimization to solve the given question.

Q: a) Let A be a square matrix. If A = pB and B =qAt for some matrix B and numbers p and q, show that…

A: The answers are given below.

Q: 1. Let T be a normal operator on a finite-dimensional complex inner product space V, and let A₁,...…

A: Note : according to our gauidlines i can solve only first 3 subpart, please reroute the remaining…

Q: The formula A=p(1+r), where p-principal (amount you started with) and r= interest rate as a decimal,…

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Q: Solve the quadratic equation by completing the square. x² +11x-5=0 Choose the appropriate process…

A: We have to solve above Quadratic equations

Q: If g(x) = — _*[e'-in(21+1)]dt, find g''(x) . - dx 2 A ex_ (2x + 1)2 B e* - In (2x + 1) 4 с ett (2x +…

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Q: one man received 15% more then the other man when they shared an inheritance of $4300 how much did…

A: One man received $2000, another man received $2300

Q: Evaluate the following using a calculator. (A) log 1,311.5 (C) In 347.55 (B) log 0.0346628 (D) In…

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Q: Find all of the possible values of the constant k for which is the equation of a circle. x² + y² +…

A: Solution: x2 +y2 +10x -14y +k2+10 =0 We know the general form equation of circle x2 +y2 +2gx +2fy +C…

Q: Elena wonders how much water it would take to fill her cup. She drops her pencil in her cup and…

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Q: Sketch the graph of on the axes below, indicating the value of the y-intercept. O y = 15 x 7x X

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Q: Write the equation of a sine or cosine function to describe the graph. 'y 1 6 9 5- 34+ 2 1 |6 FIM 3…

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Q: Ling Claims the sum of a non-integer and Is Irrational a square root She also claims that when you…

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Q: Find the extremum of f(x,y) subject to the given constraint, and state whether it is a maximum or a…

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Q: Interest is usually computed as a percent (called [Select] ) of the principal over a given period of…

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Q: Find tan 0, cos0, and csc 0, where is the angle shown in the figure. Give exact values, not decimal…

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Q: (b) Let V be R² with the standard definitions of addition and scalar multiplication. - Let W = =…

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Q: In 2007, the initial population of a certain city is 100,000 and is increasing exponentially at a…

A: Equation of population growth : P = P0 e^(rt) r is population growth rate.

Q: Margaret worked on a straight 8% commission. Her friend worked on a salary of S800 plus a 10%…

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Q: Determine the value of when y = 2/3 given that = 2-√√2²-5 and 5y=2+√√√2²-5. 0 3 03/2 01 O 1/2

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Q: 463 0 -7 2 6 7 9 7 -3 4 1| 0 3 -1

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Q: Topic: Root Finding using Fixed-Point Iteration Solve the problems and show the complete solution.…

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Q: Question # 3: Graph system of inequalities (x + y ≤ 3 [x² + y² ≥9

A: We can draw the system of the given inequalities. The common region of the given two inequalities is…

Q: The general solution of the equation (D4+D²)y=-12 is A y=C₁ + C₂x + c3cosx + casinx + 6x² (B y=C₁ +…

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Q: 5 2 a 4а-5 2-а за + 2 = 6а-8 4 a -5

A: Given: 52a4a−52−a3a+24a−5=6a−8 To find the value of a

Q: Extra Credit g(x) = 2x²2 - x + 3: Find the difference quotient and simplify for g(x+h)- g(x) h

A: Given, g(x)=2x2-x+3

Q: List the members of these sets, x | x is a real number such that x^2=1.

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Q: 33. Bill is looking for original taillights for his 1932 Ford. The prices vary depending on the…

A: We have to find the lower and upper boundries.

Q: EXERCISE 3 (UNARY MATRIX OPERATIONS) Based on the

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Q: Joe rides his bicycle an average of 21 mph. The distance Joe rides d(t) (in mi) is given by…

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Q: Determine which of the conic sections is represented by 4x² + 14xy + 5y² + 18x − 6y +30 = 0

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Q: 7. List out the event A that is an even number from a sample space of integers from 0 to 30…

A: We have to find out the events

Q: point

A: We will solve the problem

Q: 3. (Linear Algebra) The following system of equations have unique solutions. Solve the system using…

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Q: If 98 + 3a = 4b, what is a in terms of b? OA. a = 3(4b +98) OB. a = 3(4b-98) Oc. a = (4b-98) + 3 OD.…

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Q: Find sin 0, where 0 is the angle shown. Give an exact value, not a decimal approximation. 5 A 3 sine…

A: A detailed solution is given below.

Q: rite an equation of the form y=a sinbx or y=a cosbx to describe the graph below. VAA 2n 2 4 3. 0…

A: Given query is to find the equation of the function.