WORK SPACE: The Jackson Middle School model rocket club drew the model rocket 7 design below. The rocket is made from a cylinder and a cone. Write an expression to represent the volume of the rocket hen solve to find the total velume of the rocket. 7) 9in Backson Rockets 12in The astronomy observatory pictured below has a diameter of 12 feet. WORK SPACE 18a) Composite solid 186) a. What is the area of the floor?. A= Tira b. The observatory is made of a 8-foot-tall cylinder and half of a sphere (also called a hemisphere). What is the volume of the space inside the observatory? G ft. 3 t 19a) 5 ft. Bathroom Floor 9 tL 19. a) Each square foot of tile costs $3.95.: How much will it cost to tile the bathroom floor? b) How many feet of baseboard molding will it take to go around the bathroom foor?. (96) N- 1

Q: 15. Jason wrote down a three digit number and dared the class to guess what it was. See if you can g...

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Q: Suppose that x = 0 is a regular singular point of the differential equation 4xy" + 2y' + y = 0 Then,...

A: Given: x=0 is a regular singular point of differential equation 4xy''+2y'+y=0. To find: Indicial roo...

Q: Let A- {1,2,3,43, B = {1,3,6,10}. het R C AxB such that (asb) eRo b-a e A. () Find the adjacency mat...

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Q: Which among the following is purely real? Select the correct response: Z= 6 Z= -1 +2i Z= 7-9i Z= -6i

A: A complex number is denoted by Z = (x,y) and is defined by Z = (x,y) = x+ iy where both x and y  are...

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A: Given: For birdhouses, the dimensions for the floor are 13 cm by 13 cm and the height of 31 to 38 cm...

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Q: The escape time of a discrete random walk starting at 0 over the interval [-5, 7] is 12. True False

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Q: The sum of two divergent sequences is divergent. Select one: True Falge If S is bounded subset of IR...

A: Given: 1) The sum of two divergent sequences is divergent. 2) If S is bounded subset of ℝ, then supS...

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Q: Identify the center and radius of the circle with the following equations then graph the circle. x^2...

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Q: Solve 52x + 67y + 46z = 175 67x + 73y + 54z = 194 46x + 54y + 65z = 165

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Q: 2. As stone is dropped into a lake, creating a circular ripple that travels outward at a speed of 60...

A: Let at any time t radius of circular ripple is r. Given that drdt = 60 cms     since drdt = 60 cm/s...

Q: 5 -2 Find the eigenvalues and corresponding eigenvecotrs of A = 1 3

A: If the number of rows of a matrix is equal to its number of columns, then it is called a square matr...

Q: Evaluate: (7i) (5i) Select the correct response: -35 -35 + i i 35

A: Solution

Q: Use predicates notations with least number of words to express that: Each integer is less than some...

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Q: Convert each equation from rectangular to polar form. 5) (x – 1)° + (y + 1)² = 2 6) x = y 7) x = y 8...

A: Solution :-

Q: 2 and g(x) = x + 2x + 11 Let A = Find the sum of the entries of g(A).

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Q: (P^Q)^(P = ¬(Q^R))^(S = R) = -S

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Q: 2. Let T : P2 –→ P2 be defined by T(a + bx + cx²) = a – 26 + (2b – 4c)x + 3 cx?. Find a basis C for ...

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Q: Let f : X → Y be a function where X is a nonempty space and Y is a topological space with a given to...

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Q: a) A function is given by f(x) = 5x³ -6x² +x -e*. Find the slope of the tangent line to this curve a...

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Q: A company manufactures two products. If it charges price pi for product i, it can sell qi units of p...

A: Profit=                  = (80-2p1+p2)(p1-8)+(100-3p2+p1)(p2-15)=[(81p1-2140-2(p1)2+2p1p2+137p2-3(p2...

Q: Find the general solution to the homogeneous differential equation d?y dy + 13 + 36y = 0 dt2 dt The ...

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Q: 4. Show that the sequence {fn}, where nx fn(x)=- xER 1+n°x' is point-wise convergent but is not unif...

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Q: Regression Equation:  rr =  r2 =  Round to 3 decimal places. 2.Using your linear regression, how ma...

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Q: 1 al 1z(z -4)e – 4)e z=1

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Q: = y? - dx - 9. (a) Find an explicit solution of the ODE in the form y(x) = 3| 1+ ce6z ce6r (b) Can w...

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Q: find the solution of this differential equation: xdy − ydx − xy^3 dx − xy^3 lnxdx = 0

A: Given differential equation: xdy−ydx−xy3dx−xy3logx dx=0 y'=yx+(1+log(x))y3

Q: 7. x + 3y + 522 = 173.61, x - 27y + 2z = 71.31, 41x - 2y + 3z = 65.46. Start with x = 1, y = - 1, z ...

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Q: What is the real number of z= 7-9i ? Select the correct response: O Re (z)=-7 O Re(z) = 9i O Re (z) ...

A: What  is  the real number of  Z= 7-9i  ? 

Q: Mean Value Theorem

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Q: s1. Let A be a UFD and x, y E A two elements having no commor factor; write I by (a, b) (x, y) C A. ...

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Q: 3. 2y" + Зу" — Зу' — 2у %3D е-t, con y(0) 3D 0, у'(0) — 0, у" (0) %3 1

A: Given: 2y'''+3y''-3y'-2y=e-t, y(0)=0=y'(0), y''(0)=1 To find: Solution of given differential equatio...

Q: Find all solutions of the z2 + 2z + (1 – i) = 0.

A: we have to find all solutions of the z2+2z+(1-i)=0 .

Q: ZQOT and are vertical angles? T Q H B O ZTOY O ZYOQ O ZHOY

A: We know that the pair of opposite angles made by two intersecting lines are called vertical angles.

Q: (а) Two digits are to be chosen at random, one after the other, from ten digits, without repetition,...

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Q: Solve the system of nonlinear equations algebraically & graphically.  (A) x-5 = y (B) x2+y2=53

A: Given equations: x-5=y x2+y2=53 Algebric solution: We shall use substitution. From the first equatio...

Q: 2. 27x + 6y - z = 85, x+y + 542 = 110, 6x + 15y + 22 = 72.

A: Given system of equations is27x+6y-z=85x+y+54z=1106x+15y+2z=72Here the coefficient matrix of the giv...

Q: 4. Graph the polar point -4, Clearly label r and 0 on your graph.

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Q: How does the graph of f(x)= 3(x- 2)² +1 compare to the graph of g(x)=x ? (1) The graph of f(x) is wi...

A: The graphical solution of the function gives better interpretation.

Q: Find all points (x.y) where f(x.y) has a possible relative maximum or minimum. x.y) =x² - 3xy + 2y +...

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Q: *You must fully justify your answer* A continuous function f satisfies the equation f (x) = x – f(t)...

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Q: Compute 17^7121 (mod 11).

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Q: (1) sin(z²) (sin z)2 Find the residues of at z = 0 and z = .

A: To find the residue of sinz2sinz2 at z=0 and z=π Let fz=sinz2sinz2=sinz2csc2z   

Q: 1. Determine whether each of the following sequences converges uniformly on [0,+∞). a. fn(x) = x"e-n...

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Q: acuce 4. Given J(5, 0), K(8, –11), L(-3, –14), M(-6, –3), determine whether parallelogram JKLM is a ...

A: Given  here we have given the coordinated of the parallelogram J(5,0), K(8, -11), L(-3, -14), M(-6,-...

Q: 4. Let B = {b1, b2, b3} be a basis for a vector space V and let 1 -4 3 -1 1 - T:V V be a linear tran...

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Q: 24 OXYZ is a trapezium. Y Diagram NOT accurately drawn X M N OX = a XY = b OZ = 3b M is the midpoint...

A: WE HAVE TO USE SECTION FORMULA FOR VECTOR  IF a vector c divide line segment joining a and b in the ...

Q: Just need help with the first part, I'm not exactly sure what they're asking for.

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Q: a. 5 and 0° < 0 < 360° . Show the reference triangle in your drawing Use a straightedge to draw the ...

A: Given: The value of tanθ=-512 in Quadrant IV.We have to draw the reference triangle and find the six...

Unitary Method

The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products. 

Speed, Time, and Distance

Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.

Profit and Loss

The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.

Units and Measurements

Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.