Solve for the indefinite integrals of the following functions. Show a COMPLETE set of solution then box your final answer. 1. S(6sin?x + cos?x) sin2x dx

Q: Calculate the following derivative. (Use symbolic notation and fractions where needed.) d (3Vsin (7x...

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Q: Find the critical points of y= -2x^2 +4x +3 and apply the Second Derivative Test to find the maximum...

A: Critical point and extreme points

Q: 6. Find the limit of lim -3r+2x-6 Xx-4+6x+9 using table

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question fo...

Q: Tori is draining her pool for winter. After the pool had started draining, Tori began to wonder how ...

A: a.)  Assume the model: d(t)= at+b From the question: 4a + b = 5.5 --------1 7a + b = 3    --------2 ...

Q: For the Gp 20,5,1/4 find the common ratio N term Sum of the first 5 terms

A: Given: - The Gp is, 20,5,14 To find: - The common ratio N term sum of the first 5terms.

Q: 69. Suppose that f(1) = 2 f'(1) = 3 f(2) = 1 f'(2) = 2 13D %3D g(1) 3 g'(1) = 1 g(2) = 1 g'(2) = 4 %...

A: By Given conditionSolve only question 69 (d)Given :c(x)=f(g(x))f(1)=2, f'(1)=3, f(2)=1, f'(2)=2g(1)=...

Q: (1+cos a)(1-cos a) (1+cos a)(1–cos a) Which of the following is equivalent to for all values of a fo...

A: let x =1+cosα1-cosαsin3αwkt (a+b)(a-b) = a2-b2sin2α+cos2α = 1 (trignometric identity)

Q: *- 2- 2 - - 2 = 0 dx dx

A: The solution is given below-

Q: For what values of r does the function y = ex satisfy the differential equation y" – 4y' + 2y = 0? (...

A: We will differentiate y and put in the equation and then will find the value of r.

Q: The figure on the right shows the graph off and a line tangent to the graph of f at x 8. Find f(8) a...

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Q: Question óf 20 This te This que A line perpendicular to another line or to a tangent line is called ...

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Q: D. 12.0 An electric charge produces a total electric field of 6 Coulombs. Calculate the electric flu...

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Q: )-刈+3X-4-3 xy -2X+4y -8 %3D 8.

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Q: dy Let y = f (x) be the particular solution to the differential equation x²+1 X=1 with the initial c...

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Q: dy Find for the following function. dx 3 - cos X y = 4 + coS X dy dx II

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Q: x² + y = (2x² + 2y² – x)°, (0, 3) (cardioid)

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Q: Consider the polar equation r- 3+8 sin(8), whose graph is shown below. 10 8 2 -6 -4 4 6 Notice that ...

A: The given polar equation is  r=3+8sinθ. We have to find four angles θ where the tangents are vertica...

Q: How large should n be to guarantee that the Trapezoidal Rule approximation to I (- x - 2x + 12x + 4x...

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Q: n=1 (ii) Give an example such that a, converges conditionally and diverges. IM:

A: Please see the below picture for detailed solution. 

Q: The following illustration shows the graph of f'(x). On what interval(s) is f"(x) < 0? 4 2- -2 -2 a....

A: topic - functions and derivatives

Q: Find f'(x), f''(x), and f (x) for the following function. f(x) = 5x³ + 3x² + 9x %3D f'(x) =D f"(x) =

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Q: B. In items 16 to 20, (a). construct the table of values; (b). graph the function; and (c). find the...

A: Follow the procedure given below.

Q: Consider the function f(x) = 3x? – 2 + 1, 0<x < 9. The absolute maximum of f(x) (on the given interv...

A: Given query is to find absolute maximum and minimum for the given interval.

Q: find all of the critical points and local maximums and minimums of each function. (b) f(x) = Vx – 2,

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Q: dy dt II

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Q: Integrate both sides dy `xdx

A: We have ∫dyey =∫xdx

Q: Which of the following is equivalent to csc B(sec B– 1)(sec ß+1) for all values of ß for which csc? ...

A: Topic = Trigonometry

Q: r(4)=DTsin(i+ 34 j+ t°K 2. POINT: (1,2,1)

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Q: A company that makes thing-a-ma-bobs has a start up cost of $49137. It costs the company $3.02 to ma...

A: the values are:-

Q: For the following problem determine a region of the xy-plane for which the differential equation wou...

A: We have to show given differential equation has unique solution

Q: 5x 14 dx To evaluate the integral which of the following formulas can be used? V4+8x5 udu (bu (bu – ...

A: Let u=x5 then du=5x4 dx and a=4 and b=8 And third option is used for solving given integral. 

Q: (a) Complete the table using the model. (Round your answers to one decimal place.) 0.2 0.4 0.6 0.8 1...

A: Your Answer is also right but you have to round your answer to 1st decimal place.  

Q: dx 5. Evaluate J 9-4x² eax dx 6. Evaluate f 1+e6x dx

A: topic - indefinite integral

Q: exV – 1 Let g(x,y) (a, b) = (1,0). Show that lim g(x,y) does not exist. (x,V) - (a,b) %3D %3D x+y - ...

A: Firstly it should be proved that limit does not exists and then recognize the two limit values so th...

Q: solve for t. SC

A: Follow the procedure given below.

Q: 1 ER=1 (- 100 k%3D1 2k+1

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Q: 7. Find the limit of the following. a. lim(2x² - 4x + 7) b. lim X-5 X-4 x+2x -Sz-2x+4 c. lim x2 x-4 ...

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Q: sc 2x - cot 2x = 0 1 sec²x

A: We can find the answer as below.

Q: Evaluate the integral by making the given substitution. (Use C for the constant of integration.) x²V...

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Q: Find the following values for f(x) = sin =). (Be sure your computing device is set to RADIAN mode) 0...

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Q: tan A - sec A = %3D sin A-1 cos A 2 sin A- cos A cos A O cos A-1 cos A

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Q: Given Cost and Price (demand) functions C(q) = 110q + 45000 and p(g) = - 2.8q + 900, what profit can...

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Q: 2x+3 Find the inverse of the function f (x) x-1

A: We have to find inverse function

Q: Approximate dx using the midpoint rule with four subdivisions to four decimal places. J2 In(x) The a...

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Q: A. Evaluate the following integrals of inverse trig functions. dx 1. Evaluate f- x Vx2-n dx 2. Evalu...

A: 1.∫dxxx2-πSubstitute u=x2-π and dudx=xx2-πand dx=x2-πxdu=∫1u2+πduSubstitute v=uπ and dvdu=1πand du=π...

Q: Given the graph of the function f(x) below, determine where the function is discontinuous. (-2, 2), ...

A: The objective is to determine where the function is discontinuous .

Q: Evaluate the integral. 1 8 dx x3

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Q: Direction: Read and understand the statement before answer. Click "TRUE" if the statement is correct...

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Q: 8. The differential equation (2x' -xy² -2y+3dx-(x'y+ 2x)dy =0 is exact because ON

A: Given:     Differential equation 2x3-xy2-2y+3dx-x2y+2xdy=0 The differential equation is exact if    ...

Q: Consider the vector field F = (4x + 6y, 6x + 2y) Is this vector field Conservative? Conservative If ...

A: Vector field is conservative. Then find f(x, y)