Evaluate the following integral. 1 tan (√3x) 1 2 (3x)² +(3x)² - 13 0 MIN 3 dx

Q: Find the directions of maximum and minimum change of fat the given point, and the values of the…

A: Given:      fx,y=9y2e6x The gradient of a function z=Fx,y is denoted by ∇Fx,y The direction of the…

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Q: Compute each of the following limits. (a) (i) lim 7x²5 x→-1 x²-25 (ii) lim X-5 x+5 (iii) lim x+2 x-2…

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Q: Consider the solid shown in (Eigure 1). Suppose that a 49 in., h-343 in. Figure 1 of 1 x³0 Y Part A…

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Q: 2) f(x) 3 F 2 8.x

A: Topic = Functions

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Q: 2. In π 2 π ln - 4 e* cos(ex) dx

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Q: Finding Coterminal Angles In Exercises 25-28, determine two coterminal angles in radian measure (one…

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A: This is a problem related to differential equation. Based on the general formula and concept we will…

Q: Determine whether the given differential equation is exact. If it is exact, solve it. (If it is not…

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Q: Write a piecewise-defined function to model the monthly cost C(x) (in $) as a function of the number…

A: The Price wise function  is given below.

Q: 3. Given u =(3, 10,-8) and v = (-1,6,4), a) find 3v--u

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Q: 3. (3y² + xcos xy) + (3x² + ycos xy) = 0 dx a) y + sen xy + x³ = 0 y² + sen xy + x³ = 0 y² + sen y +…

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Q: D Question 15 Find the value of b such that the function f(x) is continuous everywhere. x² + a if x…

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Q: Find the directions of maximum and minimum change of fat the given point, and the values of the…

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Q: Problems: Solve the following differential equations: 9- (e + In y)dx + (+)dy=0 y

A: According to our company's guidelines I can only answer first question since you have asked multiple…

Q: Do not use calculators. Approximated decimals are not accepted. Let j=8 k= 3 Solve the equation:…

A: To solve: The equation log3x-9+k=2-log3x-1+k. Given: The value of k=3 Concept used;…

Q: Use the graph to estimate the open intervals on which the function is increasing or decreasing. Then…

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Q: volume Find the about the given a) sketch the graph 6) Find the limit and 6 OF c) Complete volution…

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Q: The following chart shows "living wage" jobs in Rochester per 1000 working age adults over a 5 year…

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Q: Express the repeating decimal as a fraction. 47134343343/100 0.4713 43 43 43...

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Q: Consider the improper integral and the propositions dx J = = 6of foo x² + 3 1- The integral J…

A: Find out the correct statement.

Q: consider the function f, such that f and f are continuous for t > 0 defined by: 0<t<7 f(t)= -68t…

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Q: R: y = x², x = 3, x-axis axis of revolution: x = 3

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Q: Find the derivative of the function. 11 y=x¹¹ ex y'=0 V

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Q: If y = ecos(x) then y" + sin(x) y' +cos(x)=

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Q: Question 11 Evaluate the limit lim (ln(3x² + 2) - In(x² + 1)) O ln 3 O In 3 01 00 O ∞

A: To evaluate the following limit.limx→∞ln3x2+2-lnx2+1

Q: Solve the given initial value problem. x³y² - y³ = 45 ³y² + xy³ = 18 x²y² + xy³ = 90 x¹ y² + y² =…

A: Here we have to solve the differential equation.

Q: 5. Evaluate f cos 3x sin² 3x dx

A: The given integral,        ∫cos 3xsin23xdx

Q: Given the function k(x) - Calculate the following values: k( – 9) = k(2) = k(4) = k( − 8) = k( − 1)…

A: Here we have to find the values of a function.

Q: Use the table of integrals to evaluate the integral. 2 [²³15x³√4x² 15x³ 4x²x4 dx

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Q: Taylor Series Approximation Formula f" f"" (a) ² f(x) = f(a) + f'(a)(x − a) + ¹¹¹(a) (x − a)² +…

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Q: A general solution of the separable DE. y'=. =y+1 y + 1 O inly + 1 = ²2 +C Oy²+2y=x²+C 0y² + y = x²…

A: To solve the given differential equations.

Q: We know that F is an antiderivative of f, so to: O a) lim (F (b) - F(a)) a 0 Ob) lim (F (b)-F (a))…

A: Here given that, F is an antidervative of f, so we have to find the value of ∫0bf(x)dx=?

Q: F(x)=2x-x/x-2x+1 ysis to sketch the following inction.

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Q: For the three-part question that follows, provide your answer to each question in the given…

A: We will compare given equation with y=aCosbx-c+d

Q: Given the function f(x) = 3x - 2, find and simplify the following values: f(a) = f(a+h) = =…

A: Given,  f(x)=3x-2

Q: olve the integrals the cauchy Rimann integral formula 2 sin ( TT 2) + cos (TTZ) ² 23-22-52 +6 dz

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Q: 4) The area of the surface generated by revolving x= y²-1, 1≤ y≤ 2 about x-axis is S=...

A: To find the area S of the surface generated by revolving x=y2-1, 1≤y≤2 about the x‐axis.

Q: If x is measured in degrees and f(x) = cosx, then d f(x) = − sinx

A: To write that it is true or not.

Q: B2. Find the integrating factor by inspection then solve.  y(y2 + 1)dx + x(y2 - 1)dy = 0

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Q: 11

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Q: Use the graph to identify absolute maximum and absolute minimum values for the function on the…

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Q: Determine the value of c such that the function is a probability mass function.…

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Q: Use the table of integrals to evaluate the integral. (Use C for the constant of integration.) 9 sec²…

A: This question can be solved using the concept of integration by substitution.

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Q: Helicopter Task Introduction: An observer at Point A makes measurements that show that the peak of…

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Q: Prakash is on a hiking trip. On the first section of the hike, he walks 5 km from the Hawk Campsite…

A: Given that Prakash walks 5 km from Hawk campsite(A) to the Condor Campsite(B).  Then, he turns and…

Q: Find the point of inflection of the graph of the function. (If an answer does not exist, enter DNE.)…

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