(sin (sin x - - 6 cos x) dx

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Q: If F(x) = f(xf(xf(x))), where f(1) = 3, f(3) = 4, f'(1) = 4, f'(3) = 5, and f'(4) = 6. Find F'(1).…

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A: To find:-

Q: Use sigma notation to write the sum.

A: Answer is 4Σn=1 = [1-(n/4)2]Explanation:Step 1:Step 2: Step 3: Step 4:

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Q: I need help with this problem and an explanation for the solution described below (Discrete…

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Q: Let w = xy − 3yz + xz, x = st, y = e³t, z = t² - Compute მი -(—2, 2) : = მs მო -(-2, 2): = at

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Q: ☐ 1. Find the volume of the solid formed by revolving the region bounded by the graphs = x² about…

A: V=5162π​Explanation:Step 1:

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Q: Find the maximum value of w=xyz on the line of intersection of the two planes x+y+z=40 and x+y-z=0.

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Q: etch the region enclosed by the given curves. y=16-x², y=x²-2 CHOICE A -6 CHOICE D -6 -2 y -10- 15…

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Q: Find the length of the indicated portion of the curve.. r(t) = (7 cost) + (7 sin t) + (√51) k. Ostst…

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Q: Given f(x,y,z) = x²y³z+ye -√4-x², find the first order partial derivatives f₁, f, f

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Q: Vector-valued functions (VVF) VVF Point P t value (for point 1 r(t) = ½ t²i + √4 − t j + √t + 1k (0,…

A: equation of tangent is as follows-2x​=−22​1​y−2​=23​1​z−1​Explanation:Step 1:Step 2:Step 3: Step 4:

Q: Find SS 2 2 dA over the region R = √(x0) /^< x < 4, 0 <y ≤5 } by identifying it as the volume of the…

A: The volume of the solid over the Region R with a constant height of 2 is 40 cubic…

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A: given a function f(x)

Q: proved dy 2(x+1) ax if y = x²+x-10 x-z

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Q: The base of a solid is the region in the xy-plane bounded by the curves y = 1- x² and y = 0. Every…

A: Given that the region is bounded by the curve

Q: Vector-valued functions (VVF) r(t) = VVF Point P t value (for point A) 1 t²i + √√4 − t j + √√t+1k…

A: Answers: 1. The domain of a vector-valued function consists of real numbers. The domain can be all…

Q: Find the derivative of the function. Simplify where possible.

A: The answer is showing step by step. Learn with carefully.Explanation:Step 1: Step 2: Step 3:

Q: The population, P, of a bacteria colony at t hours can be modelled by: P(t) 450+130t+ 15t² + 2t3 a.…

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Q: At what point on the given curve is the tangent line parallel to the line 3x - y = 6? y = 5 + 2e* -…

A: (x,y)=(ln(6),17−9ln(6))Explanation:

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Q: ym 2x²+2x+3 4x-4x

A: The given function is:Find it's horizontal asymptote.

Q: Evaluate the indefinite integral √sin³ sin® x cos3 rda COS =

A: To evaluate the following indefinite integral.

Q: End Find the derivative from FIRST PRINCIPLES of A 3) 3 f(x) = 2x+1 nobonut gniwo

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Q: use integration by parts to evaluate the de 72 In (t) dt

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Q: 8. Sketch the graph of the function with por and vertical asymptote at x=1 and horizontal asymptote…

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Q: lim x-0 √x+5-√5-x χ

A: To find:-

Q: Consider the following higher degree polynomial function f(x) = -2x2 (5-2x) (x² + 1). f) Sketch the…

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A: Here we have given a function: .

Q: -312-6x+5=-10

A: The given equation

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Q: Theorem: Quotient Rule If f(x) = T(x) B(x) is the quotient of differentiable functions, then. f'(x)…

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Q: Can you do Number 6 using the Trapezoid Rule and Number 9 using the Simpson's Rule

A: .

Q: Find T and N for the space curve, where t> 0. r(t)=(7 cost+7t sin t)i + (7 sin t-7t cos t) + 3k T= i…

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Q: An investment of $10,000 earns interest at an annual rate of 6.7% compounded continuously. Find the…

A: $716.43 per year $900.55 per yearExplanation:To find the instantaneous rate of change in the amount…

Q: Integrals of the form sin mx cos nx dx sin mx sin nx dx cos mx cos nx dx can be found using the…

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Q: a) Using logarithmic differentiation find f'(x) if f(x) = (3-2x) 3√x³+7

A: since you have posted multiple question in this question which are not interlinked so i have solved…

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A:

Q: Vector-valued functions (VVF) VVF Point P t value (for point r(t) = ½t²i + √4 − t j + √t + 1k (0, 2,…

A: 4) The equation of the tangent line at point P is:                      y=2x−2.5)  matlab % Define…

Q: (x - Solve the following expression for x. What is (are) the value(s) of the positive root(s)?…

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Q: Question 4 Let f be a function with domain all the reals such that f'(x) = x(x²-1)(x² - 7x+12)…

A: Let a function then the slope of function is given as follows where m is the slope of the tangent…

Q: I need help with this problem and an explanation for the solution described below (Discrete…

A: The objective of the question is to determine the truth value of the logical statement (Q and P) →…

Q: A graphing calculator is recommended. in the viewing rectangles [0, 10] by [0, 1] and [0, 100] by…

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Q: ← The position of a particle in space at time t is r(t) as shown below. Find the particle's velocity…

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Q: Practice

A: The objective of this question is to identify the midline, amplitude, phase shift, and period of the…

Q: 4. Let A, B and C be subsets of the universal set U. Draw the Venn diagram for (CUB)N(Ā-C). U C B

A: