Answers created by sjc

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• What is the equation of a parabola that is a vertical translation of `y=x^2` by 10?
  
• How do you find the next term of the arithmetic sequence shown 1/6, 1/3, 1/2, 2/3?
  
• How do you evaluate the integral `intx^10-6x^5+2x^3 dx`?
  
• How do I find the nth term of the arithmetic sequence whose initial term and common difference d are given below? (A) `a_1=4, d=3` (B) `a_1= -8, d=5`
  
• Which is the intercept form of equation px +py +r=0?
  
• What is the gravitational potential energy of a `21 kg` object on a shelf `5 m` high?
  
• Find Cartesian form of equation r=9cos (theta)?
  
• How do you write the equation `log_3 81=4` in exponential form?
  
• What is the value of the function `f(x) = 3x - 9` when `x = 3`?
  
• Use the Remainder Theorem to find the remainder: (x^3 – 1) ÷ (x – 4)?
  
• A object starts from rest and after 30 seconds it reaches to a velocity of 40m/s. Find the distance covered in this time?
  
• What is the equation of the circle with a center at `(4 ,-1 )` and a radius of `8`?
  
• How to find the value of tan(855) degrees ?
  
• What is the area under the normal curve between z = -1.0 and z = -2.0?
  
• How do you find the sum of the infinite geometric series given `18-12+8-...`?
  
• How do you find the rectangular coordinate of (1, 45 degrees)?
  
• How do you factor the expression `x^2+14x+48`?
  
• If the sum of the measures of the interior angles of a regular polygon is 1980. Find the number of sides in the polygon?
  
• How do I convert 101 degrees fahrenheit into degrees celsius?
  
• How do you find the corresponding rectangular coordinates for the point `( 4, (3pi)/2 )`?
  
• Is `y=12x` a direct variation and if so how do you solve it?
  
• What is the ratio of 8/24?
  
• How do you integrate by substitution `int (t^3/3+1/(4t^2))dt`?
  
• The measures of two supplementary angles are in the ratio of 2:3. What are the measurements of the two angles?
  
• How do you solve the exponential inequality `8^(x-1)<=32^(3x-2)`?
  
• How do you find the derivative of `e^(-3x)`?
  
• What is `P (Z>1.70)`?
  
• How can two matrices be equal?
  
• How do you use the remainder theorem to find which of the following is not a factor of `x^3 + 12x^2 + 47x + 60`?
  
• How do you write `8^(-2/3)=1/4` in logarithmic form?
  
• Write the first 5 terms of the recursively defined sequence? (i) a1=3, ak+1=2(ak-1)?
  
• Given the line 2x - 3y - 5 = 0, how do you find the slope of a line that is perpendicular to this line?
  
• How do you find general form of circle with endpoints of a diameter at (4,3) and (0,1)?
  
• How do you solve `|x + 5| = -4`?
  
• The derivative of `y=sin^-1(x/2)` is?
  
• How do you prove `tan^4 x + 2tan^2 x + 1 = sec^4 x`?
  
• Solve for x given {0 < x < 2}? `sin(2x) + cos(x) = 0`
  
• How do you determine if `y=sin x` is an even or odd function?
  
• How do you expand `(x^3-1/x^2)^3`?
  
• How do you use the Change of Base Formula and a calculator to evaluate the logarithm `log_4 24`?
  
• How do you find the derivative of `y=(sinx)^(x^3)`?
  
• How do you simplify `sqrt(294)`?
  
• Solve the differential equation? 2dy/dx-y=e^x/2 .
  
• How do you use the factor theorem to determine whether x-2 is a factor of `4x^3 – 3x^2 – 8x + 4`?
  
• How do you prove `csc x - sin x = cos x cot x`?
  
• How do you simplify `d^3 xx d^5`?
  
• How do I find the sum of the infinite geometric series `1/2` + 1 + 2 + 4 +... ?
  
• What is `2sqrt3 * 4sqrt30`?
  
• How do you solve `2 = e^(5x)`?
  
• How to find the standard form of the equation of the specified circle given that it passes through the origin and has its center at (-5, 4)?
  
• How do you write 36% as a fraction?
  
• How can I simplify `log_(sqrt(a))(a^2)` to get an exact numerical value?
  
• What are the values of the trigonometric ratios for this triangle?
  
• An isosceles triangle is such that each of the base angles is twice the vertical angle. Find the angles of the triangle?
  
• How do you solve `2/y=10/60`?
  
• How do you find the slope and intercept of `x- y=2`?
  
• How do you find the geometric mean between 81 and 4?
  
• Ratio of the volume of cylinder A to the volume of cylinder B?
  
• How do you find 2p(a) + p(a-1) for the function `p(x) = 4x + 1`?
  
• Given the set: `{1,-11,-4,5,x,-16}`, for what x would the mean of the set be -2?
  
• How do you simplify `sqrt20-sqrt5`?
  
• Can you find the product of z1 and z2? z1=4(cos40˚+ i sin40˚) z2=2(cos20˚+ i sin20˚) Give your answer in rectangular form.
  
• How do you simplify `x(x+1)`?
  
• How do you simplify `sqrt 15 * 4 sqrt 3`?
  
• How do you multiply and simplify `\frac { a + 9} { a ^ { 2} + 2a - 63} \cdot \frac { a - 7} { 8}`?
  
• How do you simplify `sqrt(-225x^8)`?
  
• How do you solve `4x – y = 5` and `x + y = 10` and which method do you use?
  
• Subtract: 5 – 3 1⁄3 ?
  
• How do you write `4.3621times10^8` in standard notation?
  
• How do you simplify `7(x – 11)`?
  
• What is the integral of `(lnx)/x`?
  
• If a distribution has a mean of 266 and standard deviation of 16, what is the z-score of 282?
  
• How do you simplify the square root of 1/8??
  
• What is `f(x) = int sqrt(x+3) dx` if `f(1)=7`?
  
• How do you evaluate `log_49 343`?
  
• How do you simplify `cos^3 (x) + sin^2 (x) cos (x)`?
  
• What are the different types of fractions?
  
• How do you simplify `(2x+7)/(x^2-y^2)+(-5)/(x^2-2xy+y^2)`?
  
• Where is the center of the circle given by the equation `(x - 3)^2 + (y + 2)^2 = 9`?
  
• Express 0.007777777..... In rational number?
  
• Factor by using the difference of two squares formula x2-100=?
  
• An equilateral triangle has sides of 20. What are the lengths of another equilateral triangle with half the area?
  
• How do you simplify `(1/16)^-(1/4)`?
  
• 4x-13=-5x+5?
  
• 56 is what percent of 64?
  
• What is the measure of one leg of a right triangle if the other leg measures 12 and the hypotenuse measures 20?
  
• What is the Greatest Common Factor (GCF) of 16 and 18?
  
• A jet plane accelerate from rest on runway at 4m/s^-2. find the distance covered after 5s?
  
• Can someone help me with this multiple choice question? Vectors
  
• The equation of a circle and its graph passing through (1,1) and (1,-1) centred at (0-2) is?
  
• Find the general solution of the following differential equation? y'= ye^x - y
  
• What is the volume of a pyramid with a base measuring 3 meters x 3.5 meters and a height of 10 meters?
  
• What are the `x` and `y` intercepts of the line `3x-2y=30`?
  
• A circle has a radius of 3 inches, how do you find the length of an arc intercepted by a central angle whose measure is 2.5 radians?
  
• Quadrilateral ABCD is inscribed in a circle. What is the measure of angle A?
  
• How do you simplify `sqrt5/(7-sqrt5)`?
  
• Prove That ??? Cos306°+Cos234°+cos162°+Cos18° = 0
  
• What is the value of -31 div 5 ?
  
• Why are tension values different on a pulley with two masses?
  
• 6.5 divided by 5? Thanks
  
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