Find the exact value of sin (77) 3 sin T 3

Q: Use mathematical induction to prove that the statement for all positive integers. + (2n-1) = n² a)…

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Q: 000 Find lim ( -1 Татко 8 41 - 1³ 2-00 1² +41-5 0-00

A: Given, limx→∞4x-x3x2+4x-5

Q: What is the slope of the tangent line to the curve y=−2x^2+8x+2 at the point where x=5?

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Q: PART D: Solving problems involving rational function, equations and inequalities. 1. Suppose you…

A: Disclaimer:  “Since you have posted a question with multiple sub-parts, we will solve the first…

Q: 25. The vector field F(x, y, z) = (2xy + tan x)i + (x²-√y² - 1)j is conservative. a) True b) False

A: To determine whether the following statement is True or False.The vector field F→x, y, z=2xy+tan…

Q: Solve the following inequality: 2x + 4 8 x < 16 x < 10 x < 8

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Q: Current Attempt in Progress Find the differential of f(x, y) = 2 Enter the exact answer. df = Use it…

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Q: 5. Using f(x)=xln√x + 2x; Do each of the following: Find f(x) and f(x) a. b. Find critical values…

A: The given function is fx=x lnx+2x we have to find f'x and f''x use the derivative formulas,…

Q: III. Consider the power series +∞ n(3x + 2)n n³ +4 n=1 -1. 1. Show that the series is absolutely…

A: Given power series is ∑n=1∞n(3x+2)nn3+4 When x=1, the series becomes…

Q: Calculate the derivative using Part 2 of the Fundamental Theorem of Calculus. d dx re¹2x d dx x4…

A: This question can be solved using the concept of fundamental theorem of calculus part 2 according to…

Q: Use integration by parts to find the antiderivative of f(x) = ln(x).

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Q: Evaluate O O O O e e+1 2 e+1 In eftdz. S et +1 In e+1 2 1 2 1 2

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Q: Consider the function f(t) = 3 sec²(t) - 3t². Let F(t) be the antiderivative of f(t) with F(0) = 0.…

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Q: Suppose that h(x) = f(x) g(x) and that we know the following f'(3) = -1, g(3) = 2, & g'(3) = -5.…

A: Topic:- calculus

Q: 2. A girl of height 120 cm is walking toward a light on the ground at a speed of 0.6 m/s. Her shadow…

A: Given,            A girl of height 120 cm is walking towards a light on the ground at a speed…

Q: A particle is moving with the given data. Find the position of the particle, s(t). a(t) = 2t + 7,…

A: To find out the position of the particle.

Q: Find the partial sum S, of the arithmetic sequence that satisfies the given conditions. a2 = 9, a5 =…

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Q: Factor x^2 + 10x + 12. (x + 5) (x + 7) (x + 10) (x - 12) None of the answers are correct; this…

A: Given: Factor x2+10x+12

Q: A D 1. Determine an expression for the area of a rectangle inscribed in a circle of radius 1 cm, in…

A: Explained below

Q: Consider the parabola f(x) = -x² - 4x-7 i) Write the equation in vertex form. ii) Find the vertex…

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Q: 40- 30 20 10- -10 10 10 20 30 40 50 60 Christian is a lifeguard and spots a drowning child 60 meters…

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Q: Based on this graph, what is the solution to the system of equations? (3, 2) (2, 3) There are an…

A: Topic:- application of geometry

Q: For the function f(x,y) = 7x² + 6y², find f(x + h,y)-f(x,y) = h f(x+h,y)-f(x,y) h

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Q: 2. xem di

A: The given integration, ∫xe3xdx use integration by parts, ∫u dv=uv-∫v du use the formulas,…

Q: Write the sum using sigma notation. 1² +2²+ 3² + +9² K Σ Need Help?

A: To write the sum using the Sigma notation.

Q: -5 2 y=f" (x) A description of the graph of f(x) would be: a 4th degree polynomial a downward…

A: There is a given linear graph representation of second derivative f''(x) of a function as f(x). We…

Q: Find the absolute maximum and minimum, if either exists, for f(x)=x² - 6x + 6. Find the first…

A: We have to find absolute maxima and minima of given function.

Q: Which of the following is the standard form of a circle?

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Q: Solve the following inequality: x + 2 > 10. x > 12 x 8 x < 12

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Q: A formula for the relationship between weight and blood pressure in children is given by the formula…

A: Let's find rate of change of blood pressure.

Q: let cosx=-4/5, pi<2<3pi/2. find csc(x/2).

A: Solved below

Q: Let C = C₁ U C₂ U C3, where C₁ is the line segment from (-1, -1) to (0, 0), C₂ is the line segment…

A: Answer is in next step, please give a like!!

Q: A company operates two plants which manufacture the same item and whose total cost functions are C₁…

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Q: Constructing Series Practice The power series for f(x)= ----XX 1-x 3-F--- x7 71 and the power series…

A: Disclaimer: since you have asked multiple question , we will solve only first for you. if you wants…

Q: Find the first six partial sums S₁, S2, S3, S4, S5, S6 of the sequence whose nth term is given. 2,…

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Q: Define the force field F(x, y, z) = . a. Find the divergence and curl of F. b. Let C be the directed…

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Q: 76 6 27 6 Σ [5 (2 + (i - 1) =) * - 7 (2 + (x − 1))"] n n as a definite integral, that is provide a,…

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Q: In the figure, the regions A, B, C and D bounded by the x-axis and the graph of f have the following…

A: Here we will find the definite integral,

Q: What is the slope of the line represented by the following formula? y = 2 + 6(x - 3)

A: Given,            y=2+6x-3To find : What is the slope of the line represented by the following…

Q: Use the rules for sums of powers of integers to compute the sum. 24 4.² k=8

A: Recall: sum of squares of n integer                    ∑i=1ni2=n(n+1)(2n+1)6

Q: The Maclaurin series of g(x) = sin(x) is Test question?

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Q: 1.) e ax sin (mx) dx -1) (0+3)(

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Q: A particle is moving with a position function given by s(t) = 6t² - ³ with position in metres and…

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Q: Kai (-1) K Kx 2к

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Q: The slope of the tangent line to √x+y+√√xy = 2y at the point (2,2) is:

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Q: The 12th term of an arithmetic sequence is 59, and the fifth term is 31, Find the 20th term. 820 =

A: Topic = Sequence

Q: Find at x = 4 if y = 4x² - 2 and dt da dt Question Help: Video Submit Question dt = - 3.

A: We are asked to find the derivatives.

Q: The equation for the conic section with focus (x, y) = (c, 0), direc ricity e 1, by choosing c =…

A: Topic:- geometry

Q: A curve has an equation x² + y² + 4x − 6y - 12 = 0 · Find the area bounded by the curve O 78.54 O…

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Q: Find the integrating factor μ(x) of y' + 4y - tan(x) = 0 such that μ(0) = 1. μ(x) =

A: See the details solution in below