Let f(x)=(6sinx+2cosx)tan−1x f'(x) =

Q: Consider the following Integral: 11x+19 -dx 22 -70-30 11r+19 To solve this equation you are going to...

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Q: The indefinite integral dæ can be solved using either of the three methods: 1. integration by 4+2? s...

A: In the first step we do integration by substitution:   According to the question, lets substitute u ...

Q: 45. The cubical metal tank shown here has a parabolic gate held in place by bolts and designed to wi...

A: (a)

Q: 875^7.21=______________

A: We will use a calculator to calculate this.  

Q: Use known area formulas to evaluate the integrals in Exercises 23–28 ždr, dx, b > 0 23. 24. 4x dx, b...

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question s...

Q: Estimate√16.2 using the linearization L(x) of f (x) =√x at a = 16. Plot f and L on the same set of a...

A: To Determine: Estimate√16.2 using the linearization L(x) of f (x) =√x at a = 16. Plot f and L on the...

Q: 20 20 4. Suppose that a = 0 and b, = 7. Find the values of k=1 k=1 20 20 a. Зак b. 2(a; + bị) k=1 k=...

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Q: 3. Find a non-recursive formula for an for the sequence 3, 6, 12, 24, 48, 96....

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Q: 75. Show that (x – a)f(x) dx. f(t) dt ) dx

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Q: 8x - 1 The total cost (in hundreds of dollars) to produce x units of a product is C(x) = Find the av...

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Q: 20. The function e* outgrows any polynomial faster as x→ oo than any polynomial Show that e grows a„...

A:   Here we have to show that exponential function grows faster than any polynomial as x goes to infin...

Q: {b_n}={3^n/n!}

A: We first expand the summation sign  

Q: For this problem, fill in each blank with the correct answer. a. Assume that f (0) = 2, f (1) = 0. T...

A: Since we only answer up to 3 sub parts, we'll answer the first 3.Please resubmit the question and sp...

Q: In Exercises 35–38, guess an antiderivative for the integrand function. Validate your guess by diffe...

A: Hey, since there are multiple questions posted, we will answer the first question. If you want any s...

Q: In Exercises 91-94, let F(x) = " f(1) dt for the specified a, u, and f. Use a CAS to perform the fol...

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Q: How can a graphing calculator be used to find the minimum value of a function?

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Q: Find the exact length of the curve. y = (x-x2)1/2 + sin-1((x1/2))

A: The arc length formula is given as   

Q: 30. log, (2) vs. log, (x) g(x) = log2(x)? Here is one way to find out. a. Use the equation log,b = (...

A: a) We use  to express f(x) and g(x)  

Q: a. Find lim loga 2 as a →0*, 1, 1†, and ∞. b. Graph y = log,2 as a function of a over the interval 0...

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Q: 12. Find the volume of the given pyramid, which has a square base of area 9 and height 5. 3

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Q: sketch the graph of the function. Indicate the transition points and asymptotes

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Q: determine the intervals on which the function is concave up or down and find the points of inflectio...

A: To find the point of inflection we have to find the second derivative  

Q: In Exercises 53 and 54, use a theorem of Pappus to find the centroid of the given triangle. Use the ...

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Q: 128t A. What is the average velocity of the ball over the time intervals? a. [2, 3] b. [2, 2.5] c. [...

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Q: Evaluate the integrals in Exercises 1–14. dx 3 dx 1. V9 + x² 2. V1 + 9x² dx dx 3. 4. 4 + x² 8 + 2x2 ...

A: Hi there, the exact one was not specified. so, I have answered first question.

Q: Let A(t) be the area of the region in the first quadrant enclosed by the coordinate axes, the curve ...

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Q: evaluate the limit.

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Q: Consider the function h(x), for whichh(5)=11 and h′(5)=−5. Find f′(5) for the function f(x)=h(x)/x

A: Given function is Differentiating both sides with respect to x using quotient rule of differentiati...

Q: Find two positive real numbers such that the sum of the first number squared and the second number i...

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Q: if d/dx(f(3x^2))=7x^3 , calculate f'(x).

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Q: Find the indefinite integrals (most general antiderivatives) in Exercises You may need to try a solu...

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Q: A wire of length 12 m is divided into two pieces and the pieces are bent into a square and a circle....

A: Let the circle will have x m and the square will have (12-x) m So the circumference of the circle = ...

Q: Question 7

A: We have to find dy/dx. Use chain rule and product rule on the right side

Q: use the vertex and intercepts to sketch the graph of each quadratic function. give the equation of t...

A: Expand the given function f (x) to get the f (x) in general form of quadratic equation. Then find th...

Q: Please show step-by-step solution!

A: According to chain rule the derivative of the f(g(x)) is [f(g(x))]’=f’(g(x)) * g’(x)

Q: How do I do #32?

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Q: 117. If f is a continuous function, find the value of the integral f(x) dx I = f(x) + f(a – x) by ma...

A: Given integral is By making substitution  we get

Q: The marketing division of a large firm has found that it can model the sales generated by an adverti...

A: Given

Q: 21. True, or false? Give reasons for your answers. a. b. x² d. In(In x) = o(ln x) f. cosh x = 0(e*) ...

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Q: OF CHANGE 1. The management of the Titan Tire Company has detemined that the weekly demand function ...

A: If you want any specific question to be answered, then please submit that question only or specify t...

Q: 1. A helical wire follows the path c(t) = (3 cos (t) , 3 sin (t) , 4t) for 0 < t < 5m. Its mass dens...

A: Find the path integral of lambda (x,y,z) over c(t).

Q: pause Ts 3. In the diagram above, the circle with radius 1 in the figure touches the curve y = 13x| ...

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Q: A student forgot the Product Rule for differentiation and made the mistake of thinking that (fg)' = ...

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Q: Solve the exact differential equation (2x + y) dx + (x + 2y) dy = 0 where y(1) = 0

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Q: x(x2 – 1) x2 +1 63. GU Let h(x) and the increasing/decreasing behavior of f. Sketch a plausible grap...

A: We use a graphing calculator to graph h(x)      

Q: What is the slope of the line y = −4x − 9?

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Q: If F(x) = f(g(x)), where f(−4) = 5, f '(−4) = 6, f '(−3) = 5, g(−3) = −4, and g'(−3) = 8, find F '(−...

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Q: Find the dimensions of the rectangle of maximum area that can be inscribed in a circle of radius r =...

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Q: Determine the dimensions of the rectangle of largest area that can be inscribed in the right triangl...

A: Given the figure:

Q: sketch the graph of the function. Indicate the transition points and asymptotes

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