Question 2: Evaluate the following limits 5 a) limx-0- 3 5 b) limz-o* x3 5 c) limx-0 x3

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A: Graph of the function is given, we have to find its family of function

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Q: functions. y = 1/(x2 + 3)5 a. Product Rule O b. Constant Rule O c. Chain Rule O d. Sum Rule

A: Since you have asked multiple question, we will solve the first question for you as per our guide li...

Q: e 6 7. 9- 4. $4 23 ap (()4 - (E )b )EL7 Jo 2ra(8- h(x)) dx ap ((2)6) – 8) T0 p (,(-)e) – 8) = 0 revo...

A: Let's find. 

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A: You have asked multiple questions and not mentioned  which question answer you need . According to b...

Q: Solve the systems of equation: Equation 1: x + 2y + 3zi = 20 + 5i; Equation 2: 5x - 3yi + 12z(1-2i) ...

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

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Q: If y = e2 then y = e² Select one: O True O False

A: We will check if the problem statement is true. 

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Q: 10. Determine whether the intermediate value theorem guarantees that the function has a zero on the ...

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Q: dy/dx

A: We will perform implicit differentiation. 

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Q: Find the point on the line 5?+2?−2=0 which is closest to the point (0,0).

A: Find the point on the line 5x+2y−2=0 which is closest to the point (0,0). here we can first find the...

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Q: evaluate the given function

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Q: Evaluate the integral and check your answer by differentiating. NOTE: Enter the exact answer. + 4e" ...

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Q: Find all of the critical numbers of the function g(0) = sin 0 in the interval (0, 37). (a) r = #/2, ...

A:  A detailed solution is given below

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A: The given graph is of a parabola with the vertex (0,-1). So, its equation is: y=a(x-0)2-1⇒y=ax2-1......

Q: Consider the function. f(x) = -2x3 + 12x² – 24x + 15 Step 2 of 2: Determine the open intervals on wh...

A: the given function,     fx=-2x3+12x2-24x+15

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Q: The temperature of a chemical reaction oscilates between a low of 25 C and a high ot 120 C. The temp...

A: Let's find. 

Q: Idéntify the most appropriate differentiation rules to be used in finding the derivative of the foll...

A: The function is  y=3xx

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A: For (b), Given: The domain of a function is the set of input or argument values for which the funct...

Q: 2. f(t) : 6 sint cos t ||

A: f(t) = 6sintcost here 2sintcost = sin(2t) f(t) = 3sin(2t) now if we want to integrate it integration...

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A: To determine which of the following statements afout the definite integral is/are false. I ∫-aa fx d...

Q: Let A = and B , P = (9, 8, 7) c. find an equation for the plane containing A and B and the point P....

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Q: Consider the integral -4 dx If the integral is divergent, type an upper-case "D". Otherwise, evaluat...

A: We need to check if series is divergent.

Q: 2. What is the equation of the tangent line to the curve y = x? - 2x +1 at point (3,4)? а. у3 2x — 2...

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Q: Simplify the expression. (In the second answer box, state any other restrictions on x not excluded b...

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Q: Find the DE of y2 =Ax+B A. y' = VAx + B %3D B. yy" + (y')² = 0 C. 2yy" + (y')² = 0

A: Please refer to the image below

Q: 1. Find the center and radius of a circle given by 2r2-8x + 2y2-4y+6=0

A: Given: 2x2-8x+2y2-4y+6=0 Take out common and write in standard form x2+y2-4x-2y+3=0  

Q: The first term in an arithmetic sequence is -27 and the common difference is 3.6, find the 13th and ...

A: (By our  policy we are allowed to do one question at a time . Kindly repost other problems in other ...

Q: 5. (xy² +y – x)dx + x(xy + 1)dy = 0 6. (1– xy)-²dx + [y² + x²(1 – xy)-²]dy = 0; when x = 2, y = 1 7....

A: Since you have asked multiple questions, we will solve the first question for you. If youwant any sp...

Q: Let A = and B = , P = (9, 8, 7) c. find an equation for the plane containing A and B and the point ...

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Q: Ax) = x² tan -1 (x³)

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Q: Find the solution to the initial-value problem. dy dx = y2ex sin(2x), y(0) = 1 y =

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Q: Display addition and multiplication tables for Ζ8.

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Q: 1 dr 2. J3 x²Vx² – 9

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Q: 5 What is a. lim,-3 f(x) b. lim,-2 f(x) c. lim,0 f(x) d. lim,2+ f(x) e. lim,2 f(x)

A: To find the given limit values for the function using the give graph.

Q: Consider the function f(x)=1/x  on the interval [1,8]. Find the average or mean slope of the functio...

A: Given query is to apply mean value theorem and find value of c.

Q: Vx2 – 9 4. lim х-з х — 3 X→3

A: We have to find out limit

Q: 1. S Vx²-1 dx dx 4. S x² /x2-9 dx 5. J 16-9x 2. S dx x/16-9x2 4-x2 3. J 1+x2 dx

A: Given

Q: x2 2. S dx 4-x2

A: