If f(x) = ax2 + bx + c and a , 0, sketch the shape of the graph of y = f(x).

Q: In the figure below, a = 9, b= 12, and d= 13. Use this information to solve the parallelogram for x....

A: Approach: first, find angle BAC using cosine law. then find angle ACB using sine law. since triangl...

Q: Determine its diameter

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Q: 13.) Question is attached!

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Q: 45.) Question is attached

A: Consider the given equation of the circle: Here the objective is to find the circumference and area...

Q: 23. Find the scale factor of ANML to AOPT. 4.5 12 M N. а. 1:2 b. 2:1 С. 3:4 d. 4:3 lul

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Q: Find the rotation image of each point through a 180 degree clockwise rotation about the origin. The ...

A: Explanation: Given that,  Three points, A (3,3), B (2,-4), and C (-3,-2) Rotate the image 180 degree...

Q: The length of a rectangular plot of land is 3 times the width. If the perimeter is 2000 feet, find t...

A: The length of the rectangular plot of land is 3 times the width. Perimeter is 2000 feet To find the ...

Q: What is the surface area of a box 12 inches long by 8 inches tall by 5 inches deep? Deconstruct the ...

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Q: 2. The angle at the vertex of a cone is measured using a 30mm diameter coin as shown in the figure b...

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Q: Just number 12 is question.  Need 2 column proof format

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Q: (a) Let the vertices of a triangle ABC have the following position vectors relative to some origin O...

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Q: A grain silo consists of a cylinder with a hemisphere on top. Find the volume of the silo in which t...

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Q: 38.) Question is attached

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Q: For a regular square pyramid, suppose that altitude l has a measure of equal to three times the leng...

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Q: If y = 7x cuts the circle + y² = 50 at A and B. Find the coordinates of A and B.

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Q: 46.) Question is attached!

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Q: (a) Beginning with the general solution of the systemx' = -2y, y' = 2x , calculate x2 + y2 to show t...

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Q: Solve

A: Option 39 is the correct option. Consider the formula for the center of the gravity approach. Let Ti...

Q: 11.) Using the following ordered pairs: A(-3,2), B(3,-1), C(6,8) and D(5,-2), what is the image of C...

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Q: 21. Find XW. Y 4 W 7 2/7 a. b. c 28 d. 15 5

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Q: can three vectors in the xy plane R2 have u.v<0, u.w < 0 ,w .u < 0 ?

A: Given data:     The given first vector is: u. The given second vector is: v. The given third vector ...

Q: Solve for Ti ; P.V. Tz

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Q: Find the circumference of a circle if the radius is 5 feet. Use 3.14 for pi.  Round to the nearest t...

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Q: One side of a triangle is 10cm longer than a second slide, and the third slide is 5 cm longer than t...

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Q: A comet's path (as it approaches the sun) can be modeled by one branch of the hyperbola y2 /1141 − x...

A: General equation of the hyperbola with major axis x=0 is: Its non-negative coordinates of focus is ...

Q: Q. 1 a) What is the relation between Binomial theorem and Pascal's Triangle. b) Find out the fourth ...

A: Note:We are allow to answer only one question at a time. for other question please resubmit the prob...

Q: Solve by substitution : 2x - 3y = 4                                        2x + y = -4 8.) If the ex...

A: We have to solve the equations by the substitution method.

Q: Geometry Question

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Q: Find the locus of points equidistant from two intersecting lines a and b and 2 in. from line a. 14.)...

A: To Determine: Find the locus of points equidistant from two intersecting lines a and b and 2 in. fro...

Q: A 6-foot-tall woman is standing 21 ft from a statue. She must look up at an angle of 45° to see the ...

A: A 6-foot-tall woman is standing 21 ft from a statue. She must look up at an angle of 45° to see the ...

Q: C5-100 The tank shown in Fig. P5-100 is basically rec- tangular (1 m square by 2 m long). It is bein...

A: Draw the geometry to find the dimensions of the inner triangle. Height of oil in tank is given = h. ...

Q: what is the equation of a line that contains the point (2,1) and is perpendicular to the line: y=3x-...

A: y=3x-4 Compare it with y = mx + c Obtain the slope, m = 3  

Q: 2. b. 6. 8 m/2 130 Find mt 5.

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Q: CR Follow the steps given and make the fiqure? Draw diagonal Ac. > Bisect Ac at pcint O- with center...

A: Given the steps to make a figure, 1) Draw diagonal AC. 2) Bisect AC at point O. 3) With center O and...

Q: The limit of n tan(-) as n-∞is equal to 1

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Q: 1) Charlie is standing 250 feet from the base of a tall building. If he determines that the angle of...

A: Since you have asked multiple questions in a single request we would be answering only the first que...

Q: Find the angle θ between the vectors.u = (1, 1, 1), v = (2, 1, −1)

A: The vectors are To find the angle between the given vectors, use formula  

Q: lim J5hey -2 5h,4 h

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Q: Point T is on line segment \overline{SU}SU. Given SU=4x+1,SU=4x+1, TU=3x,TU=3x, and ST=3x-1,ST=3x−1,...

A: Given, SU = 4x + 1, TU = 3x, and ST = 3x – 1. Also given, T is on the line segment SU.

Q: The white square in the drawing below is located in the centre of the grey rectangle and has a surfa...

A: We need to find the surface area of the grey region.  

Q: What is the equation for the line parrallel to y-axis and passing (2, -4)?

A: Equation of a line parallel to y-axis will be a vertical line and is of the form: x = k where, k is ...

Q: 5. For the diagram, calculate:(a) the radius of the smaller sector.(b) the perimeter of the shape(c)...

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Q: (c) Two non zero vectors a and b have respective magnitudes a and b , respectively.Given that c = a ...

A: Question: solution:                

Q: Good afternoon I need help with the answers of 3.3

A: When an ant crawling on the surface of the unit cube starting from the starting points, she can trav...

Q: Musah stands at the center of a rectangular field. He first takes 50 steps north, then 25 steps west...

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Q: 31.) Question is attached

A: (3,5) Reflected through x-axis.

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.