If log y = 7 which is equal to y? O 107 O 70 O 10000 O 7¹0

Q: 3. Give an example of a situation in which composite differentiation might be used. Give examples of…

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Q: Evaluate the integral of ((x dx)/(x + 1)8) from o to 1.

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Q: Obtain the family solutions. (5v-u) du + (3v-7u) dv = 0

A: We asked to find the family of the curves

Q: 5., You are building TWO identical pens adjacent to each other with a total area of 100 m², as shown…

A: Let's solve 5th question, dimensions for minimize the amount of fencing.

Q: Suppose that a particle moves along a straight line with velocity v(t) = 14 - 6t, where 0 < t < 1.5…

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Q: Write the sum using sigma notation. 1² +2²+ 3² + +9² K Σ Need Help?

A: To write the sum using the Sigma notation.

Q: Find the future value at 5.25% interest, compounded continuously for 5 years, of the continuous…

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Q: (y - k)² a² (x - h)² b2 1

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Q: Number 1234567890....1234567890 is given and contains 200 digits. All digits at odd places(looking…

A: Given data:- The given number is 1234567890 …..1234567890 (200 digits) To find the one digit left:-

Q: III. Consider a function f that is continuous everywhere except at x = 1. Given below is t table of…

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Q: Solve the differential equation

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Q: Find the area bounded by y = x and y = x³. 02 00 01 O 2 01 4

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Q: What is the instantaneous rate of change of y=y=−2x^2+2x at x=0 ?

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Q: Let y = 5√√/T. Find the change in y, Ay when x P 3 and Ax 0.2 = Find the differential dy when x = 3…

A: Given the function y=5x

Q: If north is the direction of the positive y-axis and east is the direction of the positive x-axis,…

A: Solution

Q: Find the volume of the solid generated by revolving the area bounded by the given curve y=lnx, x=e2,…

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Q: Differentiate the following function. You do not need to simplify the derivative. f(x) = (lnx)5…

A: Geven : f ( x ) = ( ln x ) 5 To find : Derivative f ' ( x ) = ?

Q: ) In the following exercises, use direct substitution to show that each limit leads to the…

A: Given, limx→ 3x2-2x-3x2-9LetL=limx→ 3x2-2x-3x2-9L=limx→ 3x2-3x+x-3x2-32L=limx→…

Q: y = In z I at x = 1: Oy=-x+1 Oy=-x-1 Oy=x-1 Oy=x+1

A: As per the company's guidelines, we are supposed to solve the first question for you, kindly repost…

Q: 2- The circle ² + (y-2a)2 = 4a² is rotated about the line y = -1 where a > 0. A torus is obtained…

A: Given: the circle x2+(y-2a)2=4a2 is rotated about the line y= -1 then torus is obtained from this…

Q: Find a Cartesian equation whose graph is the same as that of the polar equa- 1² cos 20 and (hence or…

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Q: Find f such that f'(x) = 9 √√x f(1) = 32.

A: Topic:- application of integration

Q: Use Part 1 of the Fundamental Theorem of Calculus to find each of the following when f(x) = t³d =…

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Q: For the function f(x) = two periods. Amplitude: A Period: P = -2 sin HARE Number Xx 37 4 Enter the…

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Q: A tank contains 70 kg of salt and 2000 L of water. A solution of a concentration 0.0175 kg of salt…

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Q: The slope at any point on a curve is given by 6x-2. Determine the equation of the curve it passes…

A: Slope of the curve is given by dy/dx

Q: If tant: what is tan (t-T)? 9 2 Enter the exact answer. tan (t – π) =

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Q: Two sides and an angle (SSA) of a triangle are given. Determine whether the given measurements…

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Q: Find the intervals on which the graph of f is concave​ upward, the intervals on which the graph of f…

A: f(x)=-x4+16x3-16x+5 If a function is concave up then f"(x)&gt;0 If a function is concave down then…

Q: Find the average value fave of f(x) = x³ between -1 and 1, then find a number c in [-1,1] where f(c)…

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Q: A writer wrote 850 words on the first day, 730 words on the second day and 610 words on the third…

A: Given: A writer wrote 850 words on first day, i.e. d1=850 Similarly for second and third day…

Q: Find the integral of f(x) = e- sinh(x) between 0 and 1.

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Q: Set up an iterated triple integral equal to 3-x² = SV So x²+y² 3 2-√√4-x²-y² using: a. Cylindrical…

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Q: Problem 7. (1 point) Find a solution to A(t) = dt 9A if A(0) = 3. help (fo

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Q: Find fxx(x,y), fxy(x,y), fyx (x,y), and fyy (x,y) for the function f. f(x,y) = 9x e 9xy fxx (x,y)=…

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Q: 2x²-3x + 10 dx (x²+4)2

A: The objective of the question is evaluate the indefinite integral.

Q: 5. Using f(x)=xln√x + 2x; Do each of the following: Find f(x) and f(x) a. b. Find critical values…

A: The given function is fx=x lnx+2x we have to find f'x and f''x use the derivative formulas,…

Q: Find the area of the surface given by z = f(x, y) that lies above the region R. f(x, y) 13 + 9x -3y…

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Q: When completing the square, a quadratic trinomial is turned into which one of the following? A…

A: Given.

Q: 25. The vector field F(x, y, z) = (2xy + tan x)i + (x²-√y² - 1)j is conservative. a) True b) False

A: To determine whether the following statement is True or False.The vector field F→x, y, z=2xy+tan…

Q: Find fxy(x,y) if f(x,y) = (x5+y³) 7. fxy(x,y) =

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Q: k Determine whether the statement below is true or false. Justify the answer. A linear…

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Q: Which statement would be represented by an inequality? To ride the roller coaster you must be at…

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Q: An international organization must decide how to spend the $2,200,000 they have been allotted for…

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Q: Based on this graph, what is the solution to the system of equations? (3, 2) (2, 3) There are an…

A: Topic:- application of geometry

Q: Typically, an inequality can have how many solutions? Multiple solutions One only solution…

A: An inequality is defined on a particular region.

Q: A particle is moving with a position function given by s(t) = 6t² - in metres and time in seconds.…

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Q: Find the nth term of the arithmetic sequence with given first term a and common difference d. What…

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Q: fa¹e² da dx: Applying the integration by parts technique, let Consider the integral Ա 4 X dv = ex x¹…

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