Evaluate the integral. rπ/2 5 + 9 cot(x) dx Jπ/4 9-5 cot(x)

Q: Find the relative extrema, if any, of the function. Use the Second Derivative Test if applicable.…

A: f(t)=5t+3tif f''(t)<0. than f(t) has maximum if f''(t)>0. than f(t) has minimum d dt(tn)=ntn-1…

Q: 6( ) Use the Lagrange multiplier method to find the maximum and values of the function: z = xy…

A: We have to solve given Questions.

Q: Let L be the infimum and let U be the supremum of the set {x≤R : 2x² - 9x − 31 < 0} Find the sum…

A: Given set { x∈ℝ  :  2x2-9x-31&lt;0

Q: Question 1 f(x) = x³ - 4x² + 3x +1 find the maximum point (0.45, 1.63) (0.45, -1.63) O (-0.45,…

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Q: Find the slope of the graph of the function at the given point. Use the derivative feature of a…

A: Given : f(x)=5x2-4x2                  To Find : Slope of graph at point (5,1/5)]i.e. to find  :…

Q: 3. (D³ + 2D² + D + 2)y = 0 4. (D³ + 16D) ³y = 0

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Q: Find the derivative (a) y = x²e-¹/x dx for the following functions: (b) y = (sin 5x) Vecos 5x+1

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Q: The cost to produce q items is C (q) = 900 + 3q² dollars. Find the marginal cost of producing the…

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Q: cos e 17. lim 800 8²

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: In the question they said without determine the numerical values of the coefficients

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Q: Find an equation of the plane. The plane through the point (3, 0, 4) and perpendicular to the line x…

A: The equation of line which is perpendicular to the plane is given as x=7t, y=3-t and z=5+6t. So, a=…

Q: The length , width w, and height h of a box change with time. At a certain instant the dimensions…

A: Rate of change

Q: Let Then dy dx = y = tan-1 √4x² - 1)

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Q: Find the x-value(s) of the relative maxima and relative minima, if any, of the function. (If an…

A: According to question,Given Function,fx = x75

Q: Fill in the blanks Enter intercepts as ordered pairs, aka points. Then Graph the parabola given in…

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Q: Let f(x) = sin(x5). f'(x) = f'(2) = 0

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: Find the arc length function for the curve y = 2x3/2 with starting point Po(9, 54). s(x) = Nood…

A: y=2x32formula for arc length is L=∫x1x21+(dydx)2dxd dx(xn)=nxn-1

Q: Suppose f(x), f'(x) have the values shown: 0 f(x) 2 f'(x) -7 X Find the following. d dx -In(f(x)) at…

A: NOTE: Refresh your page if you can't see any equations. . here we have x=1 from the we can write…

Q: f(x)= 3x²-1, g(x)= 2x+1 find f(x) o g(x) 3(2x+1)²-1 2(3x²-1) +1 3x2-1 none of these answers

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Q: Find dy at x = -1 if y=u³ +5u-4 and u = x² + x. dx

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Q: f(x) = √2-4 x+4

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Q: Problem 5: Find the addition formulas and derive the identities of cos (x - cos (x - 1) = sinx…

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Q: Clear All Draw: Vertex = y-intercept = x-intercepts = 10 10-9-8-7-6-4-3 -2 -1 4 -2 -3 -4 -5 -6 -7…

A: We need to obtain the required values of the given graph.    Clearly, we can observe from the given…

Q: Find the derivative of the function. f(t) = @mt cos(nt) F' (t)

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: Consider the following planes. x + y + z = 2, x + 4y + 4z = 2 (a) Find parametric equations for the…

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Q: Solve the differential equation by regarding y as the independent variable rather than x. (2x +…

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Q: X n - u². 2 (n^ + n)(n^ − n) = (n)H = H'(u) = Differentiate.

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Q: 6. A manufacturer produces bolts of a fabric with a fixed width. The quantity q of this fabric…

A: We can find the solution as follows

Q: Use Lagrange multipliers to find the maximum and minimum values of the function subject to the given…

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Q: Use any method to determine if the series converges or diverges. Give reasons for your answer. (-8)"…

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Q: Find the value of b so that the function f (x) below has limf(x) exist. Enter the value of b below.…

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Q: Jse any method to determine if the series converges or diverges. Give reasons for your answ 10" Σ 10…

A: NOTE: Refresh your page if you can't see any equations. . the given sequence is  substitute n+1…

Q: Sketch the region bounded by the curves, and visually estimate the location of the centroid. y = ex,…

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Q: Write out the form of the partial fraction decomposition of the function (as in this example). Do…

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Q: 9. The function increases without bound as x approaches 0 and f(0) = -2 Domain: 4 < x < 4 10. There…

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Q: Problem 6: Find the function values of sin² TT Given: TT sin²: 12 Required: Apply the half-angle…

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Q: Calculate F'(0), where F(x) = 2x72x² + 3x6 - 3x 10x4 4x6 - 6x + 10 Hint: Do not calculate F'(x).…

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Q: the az əs az || Rüle to find dz/ds and dz/dt. x = s cos(t), x = s cos(t), z = x²y⁹, y = s sin(t) 1

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Q: Evaluate lim x → 5 x²-3x - 10 x-5 Enter an exact value below.

A: Given;  Limx-5(x2-3x-10) /(x-5).

Q: S JO e¹4x 4+e7x dx

A: Please see the below picture for detailed solution.

Q: could you please work the solution out on paper please?

A: The given integral is cos4x.

Q: Use differentials to approximate the number ✓ 3.022 +1.972 + 5.992. (Round your answer to five…

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Q: 6:25 PM 0.5KB/s ← Basic-Calculus-P... 3. lim f(x) = 2, x-2- lim f(x) = -2 and f(2)= 0 x-2+ 5. lim…

A: Since you have posted multipart questions i can do first three subparts as per our company…

Q: Use the Chain Rule to find the indicated partial derivatives. z = x³ + xy², x= µv³ +w²₁ _y= u + velv…

A: According to question,Given function,z = x3 + xy4,x = uv3 + w4,y = u+vew

Q: Consider the following function. f(x) = (x-3)3 (a) Find the intervals where the function f is…

A: According to question,Given Function,fx = x-33

Q: Polly's bike company produces bikes. The company has a cost function of C(q) = 2(q + 10)² + In(q² +…

A: Given cost function c(q)=2(q+10)2+ln(q2+16)

Q: Find the Taylor series generated by fat x = a. f(x) = 2 Choose the correct answer for the Taylor…

A: Use Taylor series

Q: urvey was giv

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Q: Duf(1,-1, 6) =

A: Given query is to find direction derivative.

Q: is where 21,2 are the solutions to the auxiliary equation ay" + by' + cy=0 y = A₁e¹¹x + A₂¹2x aλ² +…

A: Given, ay''+by'+cy=0 Solution is y=A1eλ1x+A2eλ2x in case of complex roots λ=ρ±iω, y=eρxCcosωx+Dsinwx