Homework answers and tutorials

Waiting for answer Why is centripetal acceleration towards the center?
To answer this, let's draw an object moving counterclockwise in a circular path, and show its velocity vector at two different points in time. Since we know is the rate of change of an object's velocity with respect to time, we can determine the direction of the object's acceleration by finding t...
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Waiting for answer The perimeter of a square picture frame is 48 inches. One si...
We have ##2.54## ##cm## in each inch. Perimeter of a square is four times its side. As perimeter is ##48## inches, each side is ##48/4=12## inches Hence, ##12## inches is ##30.48#...
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Waiting for answer What are the rules governing significant figures and roundin...
Significant figures, or significant digits, establish the value of a number. Zeros shown merely to locate a decimal point are NOT significant figures Zeros located to the right of another number after a decimal point are significant The last significant figure on the right is the one which is som...
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Waiting for answer How do modern scientists measure the rate of seafloor spread...
Renewed interest in oceanographic research in the 1950's led to extensive mapping of the world's ocean basins and to the discovery of the world wide oceanic ridge system. In 1962, Harry Hess postulated that the ocean floors are spreading apart due to convection currents in the mantle. According to...
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Waiting for answer What is the difference between the perfect tense and pluperf...
The perfect tense indicates that an action was/is/will be completed before some other action. The pluperfect indicates that the action was completed before some other action in the ....
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Waiting for answer What is the derivative of ##1+tan^2x##?
##2tanxsec^2x## differentiate using the##color(blue)(" chain rule ") ## rewrite ## tan^2x = (tanx)^2## ##d/dx[ 1 + (tanx)^2] = 2(tanx) d/dx(tanx) ## ## = 2tanxsec^2x ##
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Waiting for answer What is the difference between a conglomerate and a breccia?...
Conglomerates are formed by flowing water where clasts are generally greater than 2mm in diameter and range up to cobble size grains. Grains typically show some rounding due to the water transport. Breccias are made up of rock fragments cemented together. The fragments are typically more angular....
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Waiting for answer How do mutations affect the traits of an animal?
Usually there are three ways in which a mutation can affect a trait of an animal; mutation effects can be A) neutral, that is, the mutation doesn't cause any change; B) negative, where the change caused by the mutation can be detrimental for the animal; C) positive, where the change caused by th...
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Waiting for answer How do you know whether a molecule has a symmetrical geometr...
You look for a plane or an axis of symmetry. Many students find it difficult to visualize molecules in three dimensions. It often helps to make simple models from coloured sticks and putty or Styrofoam balls. Planes of Symmetry A plane of symmetry is an imaginary plane that bisects a molecule in...
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Waiting for answer What are compounds?
are substances that consist of two or more combined in fixed ratios. They are pure substances that involve the of these elements  they can't just be mixed together like soup. To be sure if something's a compound, check to see if it has a formula. If it does, it's a compound. If not, it's a h...
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Waiting for answer Which bone is controlled by the muscles of mastication?
The mandible (jawbone) is controlled by the four muscles of mastication (chewing). The four muscles and their actions are: temporalis: elevates and retracts the mandible (you can...
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Waiting for answer ##HBr## and ##HI## reduce sulfuric acid. ##HCl## can reduce...
The answer is d) none of these In a , a reducing agent loses electrons and an oxidizing agent gains electrons. This means that stronger reducing agents will lose electrons more...
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Waiting for answer What is the net charge of the elements Ni, I and Au on the p...
The net charges of elemental nickel, iodine, and gold are ZERO. Matter of course is electrically neutral. For every positive charge, there is a corresponding negative charge. To...
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Waiting for answer The height ##h## (in feet) of a volleyball ##t## seconds aft...
##t = 3.08s## We have to substitute ##h## by ##0##, as that is the height both when projected as when it hits the ground. Then we solve for ##t##: ##16t^2 + 48t + 4 = 0##, ##16t^2 ...
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Waiting for answer If the ﬂour to sugar ratio is 5 cups ﬂour to 1 cup sugar, th...
##2/5## cups are needed. You write it out as a ratio. ##(5/1)=(2/x)## You crossmultiply. ##5x=2*1## Simplify. ##5x=2## Divide each side by five to find the value of x. ##x=2/5## ##2...
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Waiting for answer An equilateral triangle is circumscribed about a circle of r...
The perimeter of the triangle is 180 units. In the above image equilateral triangle ABC is circumscribed about a circle with radius ##=10sqrt3## units. Notice that the sides of the...
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Waiting for answer When would you use u substitution twice?
When we are reversing a differentiation that had the composition of three functions. Here is one example. ##int sin^4(7x)cos(7x)dx## Let ##u=7x##. This makes ##du = 7dx## and our i...
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Waiting for answer What is the geometry of the oxygen in CH3OCH3?
The electronic geometry around is oxygen in ##H_3COCH_3## is ##"TETRAHEDRAL"## to a first approximation......... Why? Well, there are ##2xxOC## bonds, and 2 oxygencentred lone p...
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Waiting for answer How do you find the vertical asymptotes of the function ##y=...
The vertical asymptotes of ##y=(x^2+1)/(3x2x^2)## are ##x=0## and ##x=3/2##. To find the vertical asymptotes we set the denominator equal to zero. ##3x2x^2=x(32x)=0rArrx=0 or x=3/2## Look at the graph below. Sometimes, the denominator is equal to zero at the same xvalue that makes...
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