If f(x) = 6 + 6x - 2x², find f'(-3).

Q: a =(−1)²¹ (n − 10)₂ - What is the 9th term of the sequence n

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Q: Find the tangent line approximation 7 to the graph of f at the given point. Then complete the table.…

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Q: Find the volume of the solid obtained by rotating the region enclosed by the graphs x = y³ and x = y…

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Q: Find the volume of the solid obtained by rotating about the x-axis the region enclosed by the…

A: To find out the volume of revolution.

Q: Write the Taylor series for f(x) = sin(x) at x = Find the first five coefficients. Co= C1= C2= C3=…

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Q: Evaluate the following limits. USE OF L'HOPITAL'S RULE IS NOT ALLOWED. log₁ (x+3) lim x →1 -1 1-cosh…

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Q: 3. Find if y³ + 2xy - x² = cos x using implicit differentiation.

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Q: d Calculate [ri(t) r2(t)] and [ri(t) x r2(t)] first by differentiating d't dt the product directly…

A: Given,           r1t=4ti+2t2j+5t3k , r2t=t4kTo find : ddtr1t·r2t                ddtr1t×r2t

Q: Find the exact value of cos(195°) using the fact that 195⁰ = cos(195⁰) = 225° -30°.

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Q: Find the point on the curve y=x³ at which the tangent is parallel to the tangent at the point on the…

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Q: [₁ [6x² arcsin(x)]dx

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Q: On Integral of Trigonometric Functions: Determine the integral of the ff. functions. 3. sec 2 (3x +…

A: To find the integration of Functions: As per Bartleby guidelines we are supposed to answer only…

Q: Determine the minimum cost of a retailer of motorized bicycles whose cost function is C(q) = 4860/q+…

A: Here the given cost function is: C(q)=4860q+15q+750000

Q: Replace the polar equation r = 5 csc 0 with an equivalent Cartesian equation. Then identify the…

A: The given polar form of the equation is: r=5 csc θ

Q: Find the differential dy of the given function. y sec² x x² +2 dy = sec²x(x²+2)tan x-x (x²+2)² dx x

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Q: Find the area of the part of the circle r = 5 sin 0 + cos in the fourth quadrant. Answer:

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Q: Find the limit of the trigonometric function. lim 9 sin(x)

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Q: Q6: If z = x2 and ad y, then 이렇 이렇 소설 이를 Choose e) others

A: Given problem:- If z=x2 and y=z3/3  To find:- dy/dz

Q: 5 If [F(x) dx f(x) dx = 7.4 and 1.°F(x) dx f(x) dx = 5.7, find [²1 f(x) dx.

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Q: Ex: Solve the DE x²y"-5xy' +9y=0

A: To find the solution of the given differential equation.

Q: 2. y = tan (cosh x) (sin x)(sech x) secx (use logarithmic differentiation)

A: As per the requirement of the student question number 2 has been solved. Here we need to calculate…

Q: Use the Product Rule to differentiate the function. f(x)= x cos(x) F'(x) =

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Q: 5x²³-4x²+3x LX Find the most general antiderivative of the function: f(x)=-

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Q: Suppose that f(x) and g(x) are given by the power series f(x) = 6+7x+7x² + 4x³ +….. and g(x) =…

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Q: The index of refraction n of a transparent material is the ratio of the speed of light in a vacuum…

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Q: 31. (a) 32. (a) 33. (a) 34. (a) ₁12x-11dx • S²₁₂ √2+ |x|dx 2+ |x| L₁ let |e* - 1|dx *) ₁²³-1-15|dx +…

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Q: 1+/ lim x-1 2x² + x1

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Q: area enclosed by enclosed by the Curve Find the X = 2y² and x = 8

A: This question is based on application of integration.

Q: Verify Green's Theorem by evaluating both integrals √< y² dx + x² dy = [] (ON - 3M) de dA ?х ду for…

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Q: enclosed by Find the area X = 2y² and x = 8 the сикише

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Q: Find all solutions of the equation in the interval [0, 21). csc 0 7 3 If there is more than one…

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Q: 2- Determine lim[ v( x-1000)+10]/x x-0

A: Given problem:-

Q: Use the rules of differentiation to find the derivative of the function. y=9x². + 7 sin x

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Q: The equation of a curve is given by f(x) = √2x-1. a) Use the definition of derivative to find f'(x).…

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Q: Find the length of the curve. (Hint: u-s

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Q: Find the first four nonzero terms of the Taylor series about 0 for the function f(x) = √1+x cos(3x).…

A: We need to find polynomial series.

Q: Calculate the length of the path over the given interval. (sin 7t, cos 7t), 0≤t≤n

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Q: Match the vector field with its graph. F(x, y) = yi 1 |||||||||| 三 6 靈

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Q: Homework 12 Polar: Problem 6 Find the area enclosed by one loop of the lemniscate with equation ² =…

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Q: Activity 1.3. B Evaluate the limits of the following functions. 3. lim (ex + 2) -X+0

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Q: PERFORMANCE STANDARD: Formulate and solve accurately situational problems involving limits. GOAL:…

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Q: For F(x, y, z) = y²z³ i + 2xyz³ j + 3xy²z² k, determine whether or not the vector If it is…

A: Let's find.

Q: Apply the Ratio Test to determine convergence or divergence, or state that the Ratio Test is…

A: ∑n=1∞  n!22n!

Q: 1. F = cos y i+ xyj + yk, A B C D E F О н A. i+j+(y-siny)k B. i+ (siny - y)k C. j (2y-siny)k D. 3i -…

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Q: Use the figure to find the exact values of sin(2u), cos(2u), and tan(2u). X sin(2u) = cos(2u) =…

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Q: 3x

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Q: Find a power series representation for the function. (Give your power series representation centered…

A: Given:        f(x) = 1/ ( 5 + x )

Q: The graph y=f(x) is given; transform the graph y=f(x) into y=2f(x+1)

A: Given: Line passing through 0, 0, 4, 4:  y=x    {0≤x≤4}The equation of the curve is y=x-52+3…

Q: Find the exact length of the curve x = tsint, y = t cost where 0 ≤ t ≤ 1.

A: answer is in next step

Q: Find two positive integers such that the sum of the first number and four times the second number is…

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