Q6. Translate in two ways each of these statements into logi- cal expressions using predicates, quantifiers, and logical connectives. First, let the domain consist of the students in your class and second, let it consist of all people. a) Someone in your class can speak Hindi. b) Everyone in your class is friendly. c) There is a person in your class who was not born in California.

Q: looking for B, C, D from attached pic

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Q: The marginal profit from the sale of x hundred items of a product is P'(x) = 200 – 300x + 150x², and...

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Q: Assuming that y is defined implicitly by the equation a? - y? = 100, the derivative - dy at (2, 19) ...

A: Here I am attaching image so that you understand each and every step.

Q: Find the Integral and explain each step:

A: Integrate: ∫1x2+6x+12dx

Q: 1 Calculate the difference quotient for f(x) at a = 4. V2x + 9 (Express numbers in exact form. Use s...

A: Derivative problem.... 

Q: Q1 Evaluate the following: 1- x* +3x -3 2- S1+ tan2(4x - 1). tan (4x- 1). sec2 (4x- 1) |

A: 1. x4+3x2-3 2. Integration of √[1+tan2(4x-1)]. tan(4x-1).sec2(4x-1)

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A: In this question we have to find antiderivative which means integration.

Q: Calculus Question

A: We will use Riemann sum approximation to find required values

Q: ) Find the first derivative: b) y = log7 v1+x

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Q: Use Theorem 1 from Section 10.1 to determine the limit of the sequence, or state that the sequence d...

A: Solve the following

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A: given function   fx =x+2    ; x&lt;2ax2-bx+3   ; 2≤x≤32x-a+b   ;  x≥3f is continuous at x=2 and x=3

Q: dx 2. o f x2-4x+5 3. Prove that: coshx —sinhx =e™*

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Q: solve the integral

A: Integration of (x3- 3x2-10)/[x(x-3)(x+1)]

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A: We use the given Function and limit Find the required Value.  We Use the Left Hand Limit.  After We ...

Q: 1² – 36 lim I6 I + 6 1 15 216 -12 1 12

A: Explanation of the answer is as follows

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A: “Since you have asked multiple question, we will solve the first question for you. If you want any s...

Q: I need answer with solution here

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Q: The Fundamental Theorem of Calculus: Use the Fundamental Theorem of Calculus to find the derivative ...

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Q: Question Find the absolute maximum and absolute minimum of the function f(x) = 2 sin (x) cos (x) ove...

A: sin(2x) = 2 sin(x) cos(x).

Q:

A: We will solve the problem. 

Q: Solve the following differential equation: + 2y +v -

A: We have to find the solution of the differential equation                                           ...

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A: The Extreme value theorem and its application to the given function is explained in the steps below....

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Q: Use the formula for the sum of a geometric series to find the sum, or state that the series diverges...

A: Solve the following

Q: Use Desmos to graph the following function :f(x)=2 sin⁡x. Take a screenshot and upload to the discus...

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Q: The antiderivative of the function: f(x) = 3x² – 10x° o x4 – x12 +c x3 – x10 + c x4 – x11 + c - O x2...

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Q: In the below graph (figure 1.1.2), figure 1.1.2 6+ -2 3 f(x) Ne lim f(x) = - 4+ 1.

A: To evaluate: limx→-4+f(x)  The limit of f(x) as x tends to a real number m, is the value f(x) approa...

Q: x+2 x<2 1) Let f(x)={ ax² – bx+3, ; 2sx<3 x 23 2x-a+b Find the values of the constants a and b given...

A: Here I am attaching image so that you understand each and every step.

Q: sin5wcos5w 4 J w²dw cos?w-cot2w+sin²w+csc2w

A: As per our guideline we supposed to answer only first question , kindly repost other as next questio...

Q: dy Using the parametric differentiation find dx if x = 12 cos t , y = 3 sin t. -0.25 tan t 4.00 sin ...

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Q: 10 4.3 dx

A: Using, Integration formula

Q: Use Theorem 1 to determine the limit of the sequence or type DIV if the sequence diverges. 7n An V9n...

A: To find: 

Q: 4. If the integral value of | f (x)dx = 4 and | f(x)dx =-3 then the value of | f(x)dx is -1 -2 а. —3...

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Q: dy Assuming that y is defined implicitly by the equation x2 – y? = 85, the derivative at (8, 16) is,...

A: Option D is the answer

Q: Solve the following

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Q: The graph of the derivative f' (x) is given below. On what interval(s) is the function f(x) concave ...

A: When graph of y=f'(x) is decreasing, the function y=f(x) is concave down. When graph of y=f'(x) is i...

Q: For curve with equation f(x) =x²(x² – 1) find a. The coordinates where its gradient is zero b. The s...

A: The gradient of a function f(x) is given by its derivative w. r. t to 'x' that is f'(x).  The detail...

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Q: Evaluate the integral below by interpreting it in terms of areas. In other words, draw a picture of ...

A: The given integral is the area under the curve:  y=9-x2   from x=-3  to x=3.

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Q: 1 2y Sketch the graph and shad the bounded region for the given integration [ f(x,y)dx dy 2

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Q: Derive a formula for In x dx where a. nt-1 b. n=-1

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Q: e* sin(3x° +4) dy find using the logarithmic differentiation. dx Given y Vx +2x

A: Please refer the attached image for complete solution.

Q: Fnd the local minimum ond Iecal moximuma ond soddle point'(if exšts) for the function fexiys = 2x2+ ...

A: We will find the local maximum , minimum and saddle point as following.

Q: The slope of the line tangent to the graph of f(x) = 12 – 2x? at the point x = -9 4 9.

A: Solution 

Q: Present Value of an Investment Suppose an investment is expected to generate income at the rate of R...

A: Please refer to the image below

Q: Your parents purchase $120,000. After 12 yea doubled in value. Wha rate that could generat

A: Present value of the house P(0) = $120,000 time t=12 years rate =r%  After 12 years the amount will ...

Q: The radius of a sphere decreases at the rate of 5 m/s. when the radius is 10m, then the rate of chan...

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Q: a) Find the area of region enclosed by the two curves y = Vx +1 and y= /2x

A: As per our company guidelines we are supposed to answer only first question. Kindly repost other que...

Q: QUESTION 6 Solve the quadratic equation 2x2 - 2x - 3 = 0 by using formula. Give your answer correct ...

A: Here I am attaching image so that you understand each and every step.

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.