Evaluate: sin 1 (cos ( ) O sin-(cos () - O sin-(cos ()- O sin (cos ()-- 4. O sin (cos ()) = -

Q: Use a calculator to evaluate the trigonometric function. Round your answer to four decimal places. (...

A: Given problem:- sec(195°) Use a calculator to evaluate the trigonometric function. Round your answer...

Q: Find the value of the integral d.x 3x(In(3x))² Determine whether the series 1 n=2 3n(ln(3n))2 is con...

A: Given query is to find the value of the integral.

Q: Se sin 3x dx Using integration by parts, if u = sin 3x and dv = e*dx , %3D what should be du and v? ...

A: We know that, The expression for the integration by parts: ∫udv=u·v-∫vdu   Given: I=∫exsin3xdx

Q: Determine whether the series converges, and if so find its sum. If the series diverges, indicate tha...

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Q: If two functions F and G are both antiderivative of the function H then F-G=0. (A) True (B) False

A: Given statement:- If two functions F and G are both antiderivative of the function H then F-G=0 To f...

Q: ELIMINATE THE ARBITRARY CONSTANTS OF y = C,e-2x + C2e*

A: We have to differentiate and estimate the arbitrary constant

Q: Let f be a differentiable function such that f (3) = 2.345 and f' (x) = ln(x² + 1). What is the valu...

A: solution:-f'(x)=ln(x2+1)f(x)=∫ln(x2+1) dxusing integration by partsf(x)=∫1·ln(x2+1) dx=ln(x2+1)∫1 dx...

Q: 1. The function f(x) = 81 has a discontinuity at x = 9. 2. The function g(t) = |2x – 10| has a at r ...

A: ?As per our company guidelines we are supposed to answer ?️only first 3 sub-parts. Kindly repost oth...

Q: 4. At Grande Anse Beach the height of the water in metres is O onainTEbigoT modelled by the function...

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Q: Find f(x) from Sat principles, given that flx) is! ら) c)

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Q: Compute the partial sums S2, S4, and S6 of 1 1 + • 6 1 1 + 8 · 10 + + 2. 6 · 8 (Use symbolic notatio...

A: The given series,    12.4+14.6+16.8+18.10+......

Q: 1 if x is an integer Let f be the function defined by f(x) = { oif x is not an integer a.) Sketch th...

A: The given function,f(x)=1if x is an integer0if x is not an integer

Q: Vx2+4-2 lim x2

A: Since you have asked multiple questions in a single request we would be answering only the first que...

Q: Let S be the cube with side length 7, faces parallel to the coordinate planes, and centered at the o...

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Q: 13. Write down a function f (x) that satisfics f'(x) = 3x2 + 2x – sin r + sec? x.

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Q: Use the integral test to determine whether each of the following series converges or diverges. For e...

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Q: 1 | (2³ + æ) (x* + 2a² + 9) i dæ = 4 (x° + x) (x* + 2x2 + 9) dx (A) 1 2 3 4/3 – 9 - D) 16/3 – 18

A: We have to find the given integral.

Q: Let f(x)=x2−2xf(x)=x2−2x and g(x)=3−x2g(x)=3−x2.   (f+g)(7)=(f+g)(7)=  help (numbers)   (f−g)(7)=(f...

A: The functions are f(x)=x2-2x   &    g(x)=3-x2

Q: Find the derivative of the following functions: = Arccos 4x -4 ans. y' = V1-16x2 4. y = Arcsec(sec 2...

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Q: 4x4 + 3 dx = 4x5 + 15x +2 1 + C 5(4x5+15x+2)² A) ++3x .5 + C 15 - x²+2x 2 (C In 4x + 15x+ 2+ C D) 5 ...

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Q: With the given find its value. Using first the IBP."uv –- S v du" and evaluate.

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Q: 16 -4 -2 2 4 -16 Figure for 80 80. Graphical Reasoning The graph of the first derivative of a functi...

A: (a)Increasing means, f'(x)>0 so x∈(-4,-2)∪(-2,1)(b)Concave upward means f''(x)>0 ; slope of f'...

Q: This extreme value problem has a solution with both a maximum value and a minimum value. Use Lagrang...

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

Q: Let R be the region bounded by the curves y = -a + 6x- 8 and y = 0. %3D a) Use any method to compute...

A: Given :- Let R be the region bounded by the curves y =-x² + 6x - 8 and y = 0. To find:- a) Use any m...

Q: The function V(x) = x(10 - x)(16 - x), 0 <x< 10, models the volume of a box. (a) Find the extreme va...

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Q: If f and g are continuous function of X, which of the following is true? )dx =D| (x) dx B dx3D 8(x) ...

A: Given :

Q: Find the length of the curve 7 (t) (9 In(t), 4t?, 12t) for 1 <t < 6

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Q: 3x5 – 20x3 f(x) = f'(x) = 15x2(x – 2)(x + 2) f"(x) = 60x(x² – 2) he relative maxinma relative mininm...

A: Given: - The function and its first and second derivative are given, f(x)=3x5-20x3f'(x)=15x2(x-2)(x+...

Q: If sinh(x) = 35 =, find the values of the other hyperbolic functions at x. %3D cosh(x) tanh(x) csch(...

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Q: The length of a rectangle is increasing at a rate of 8 cm/s and its width is increasing at a rate of...

A: Let the length of the rectangle be:  l  cm Let the width of the rectangle be:  w  cm

Q: d/dx[(x² + 5)(x³ - 7) = 5x4 -15x² + 14x Select one: O True O False 1 + A)xp/p Select one: O True O F...

A: Explanation of the answer is as follows

Q: Given the function y=2x2+12x+16, write this in the form y=a(x-h)2+k and sketch the graph of the func...

A: Here we have to write the function in general form of parabola and then draw the graph.

Q: Spot the mistake/s in the solution. Tick the box that applies. Se*cos x dx -e^cas X - Se*sinx dx e o...

A: The given integration,       ∫excosx dx

Q: Find the derivative of the function y = 7.7+ 6 -6*. dy dt %3D e Textbook and Media Save for Later

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Q: 4x³y – 15x² – y )dx +(x* +3y² – x)dy=0

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Q: Tr(x)dx = xf="(x) x(f=\Y{x)dx.

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Q: Find dy/dx in terms of x and y if x²y – x – 4y – 9 = 0. dy dx

A: Here we will use the product rule for derivative d(uv)=u.d(v)+d(u).v

Q: A manufacturer of handcrafted wine racks has determined that the cost to produce x units per month i...

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Q: Suppose that for a company manufacturing calculators, the cost, revenue, and profit equations are gi...

A: NOTE: Refresh your page if you can't see any equations. . here we have

Q: (b)

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Q: Find the centroid of the region bounded by the given curves. y = x2,      x = y2

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Q: 3x2 + 4x + 1 -dx 3x3 + 6x2 + 3x + 50 9x2+12x+3 + C (3x3+6x²+3x+5) A x3+2x2+x - + C x4+2x3+x2+5x B) 3...

A: The given integral,     ∫3x2+4x+13x3+6x2+3x+5dx

Q: 17. Use Implicit Differentiation to find an expression for dy/dx given ry +y = 2.

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Q: Set up, but do not evaluate, an integral for the volume of the solid obtained by rotating the region...

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Q: e a) y"+ by 19y x² + 1

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Q: 1 9 – x2 (A In(v9 – a?) + C - B 응sin-1(품) + C (C 3sin-1(x 3 + C D) sin-그(프) + C 3

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Q: Find a bound for the error in the approximation M10 to the given integral (but do not calculate M10)...

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Q: Find the intervals where the function y=f(x)y=f(x), whose graph is given below, is increasing and wh...

A: from the given graph

Q: 8n° – 8n + 19 Use the limit comparison test to determine whether an = Σ converges or diverges. 5+ 3n...

A: Given that ∑n=19∞8n3-3n2+195+3n4Use limit comparison test

Q: What is the least possible degree c

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