If you are dealt one card from a standard 52-card deck, find the probability of being dealt a king.

Q: 4 If f(x) = 7+ , find f'(x). x2 | Find f'(3). 5 +

A: Given f(x)=7+4x+5x2 Using, f'(x)=dfdx

Q: Determine whether the statement, "The bearing from O to A is N 103° W", makes sense or does not make...

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Q: City urbanization City planners model the size of their city usingthe function A(t) = - 1/50t2 + 2t ...

A: Given  The function is  A(t)=-150t2+2t+20  , 0<t<50

Q: Determine the values of x at which the function in Figure 18 is: (a) dis- continuous and (b) nondiff...

A: (a) Here from the graph, we can see that, The graph has a break at the point x =1, that is, Thus th...

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Q: Need step by step break down please stuck on this.

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Q: Give Definition About Fourier Transform ?

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Q: Find f(g(x)) and g( f(x)) and determine whether each pair of functions ,f(x) = 3x + 8 and g(x) =(x -...

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Q: Illustrate the multiplying any row (or column) by a scalar do to the determinant?

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Q: 3. Describe the transformation in this function:f (x) = 2|x|

A: In order to check the transformation in any function, we compare it with its parent function for any...

Q: Evaluate the expression log416.

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Q: Define the Arcsine and Arccosine Functions?

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Q: Find the derivative of y = (x2 + 6)(x3 + 2) in two ways. (a) by using the Product Ruley' =     (b)...

A: Given:  y = (x2 + 6)(x3 + 2) Formula use: Product rule for derivative: ddx[f(x).g(x)]=f(x).ddxg(x)+g...

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Q: For each of the below functions, compute the derivative sin(x)cos(x)tan(x)

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Q: Find an equation of the tangent to the curve f(x) = 2x2 - 2x + 1 that has slope 2.

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Q: If x1/3 + y1/3 = 4, find d2y/dx2 at the point (8, 8).

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Q: Find the limits

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Q: Need to set up to find derivative which rule best to use c42

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Q: To receive a B in a course, you must have an average of at least 80% but less than 90% on five exams...

A: Given that, to receive a B in a course ,must have an average of at least 80% but less than 90% on fi...

Q: Suppose If(x)-7| 0 such that |f(x) – 7| < 0.1 whenever 0< |x - 1 < 8. The values of 8 are 0<8sN. (T...

A: Given that fx-7&lt;0.7 whenever 0&lt;x&lt;7.  

Q: Find the curl of this function: 25xyz+19xy+30xz (show every step properly)

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Q: Evaluate the integral.

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Q: Determine the amplitude of y = 1/2 sin x. Then graph y = sin x and y = 1/2sin x for 0 ≤ x ≤ 2p.

A: Given y=12sinx  

Q: a. Use a graphing utility and the change-of-base property to graph y = log3 x. b. Graph y = 2 + log3...

A: a) We graph y = log3 x=ln(x)/ln(3) using a graphing utility.   

Q: prove that the given question

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Q: Solve the polynomial equation 6x3 - 11x2 + 6x - 1 = 0.

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Q: In Exercises 25-28, compute the derivative of f o g.

A: We first find the composite function  f∘g=f(g(x))=f(sinx)=2sinx+1  

Q: Need help to find derivative and best rule to use c43

A: Given fx=x3+6x2 Rewriting the equation: fx=x3+6x212  

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Q: limits!

A: Known fact: If f is a continuous function then limx→afgx=flimx→agx.

Q: Suppose that the weekly sales volume y (in thousands of units sold) depends on the price per unit (i...

A: Given: Where y is the sales volume and p is the price per unit.

Q: Verify the identity: sin 3θ = 3 sin θ - 4 sin3 θ.

A: To verify, sin3θ=3sinθ-4sin3θ  

Q: Describe in words the region of R3 represented by the inequality   x2+ y2+ z2&gt; 2y − 2z.

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Q: 1) A basic law of physics states that, when an object is dropped in a near-vacuum, the distance it f...

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Q: how would i find the answer for part b

A: For part (b) just put 5 in place of x in the expression of part (a).

Q: The values of two functions, f and g, are given in a table. One, both, or neither of them may be exp...

A: From the values of f in the given table, it is observed that, f satisfies the function fx=2x+2. thus...

Counting Principles

In statistics, the counting principle can be said to be the concept in which the quantity of an item is determined. There can be a single item, or a group of items, or items that are related to each other. In every possible set of items, the quantity of the possible item groups or their sorting measures can be determined with counting principles.