Find the slope of the tangent line to the graph of the function at the given point. g(x) = 5x²; (1,4)

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A: The given sinθ=25, tanθ>0 . We have to find the values of cos2θ and sin2θ

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Q: Suppose that f(x) = 2x4 + 9x2. Evaluate each of the following: f'(1) = f'(-3) =

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

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Q: 20. J 1 (x+25)√√x dx

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Q: find area of abc triangle with given parts A=29.6 degrees b=10.7 in c=6.6in

A: Use sine law

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Q: Determine whether the telescoping series converges or diverges. 5 5 Σn=1 (√2+2 -√2+3) /n+2 a) The…

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Q: Problem 17. Suppose that F(x) = = [₁,²50 Find F"(2). f(t) dt, where f(t) = 1 ² √² + 1² VT U - du.

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Q: Please TYPE this out.  I do not want it handwritten.

A: The given function is y=xx4+4

Q: Find the indefinite integral. (Use C for the constant of integration. Remember to use absolute…

A: The objective is to find the indefinite integral.

Q: Find the curl of the vector field F. F(x, y, z) = arcsin yi + V1 - x2j + y2k

A: To find the curl of the given vector field F

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A: We need to determine given angles.

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Q: The original question did not put it right. it was (5overx) 5/x If  f(x) = 3x + 4 and g(x) =5/x

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Q: Find an approximation of the area of the region R under the graph of the function f on the interval…

A: Given problem:- Find an approximation of the area of the region R under the graph of the function f…

Q: Find the curl of the vector field F. F(x, y, z) = 4x² + 7y²j + 5x²k

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Q: question 15 please

A: Topic:- integration

Q: II YOLUMES OF REVOLUTION 1. Find the volume generated by revolving about x-1, the area bounded by y…

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Q: Use the Laplace transform to solve the following initial value problem: y" - 2y +26y=0 y(0) = 0,…

A: The given initial value problem is y''-2y'+26y=0, y(0)=0, y'(0)=5

Q: anxenes Consider the following. v = (0, -4,-3) (a) Find the projection of u onto v. 42 25 18 12 25…

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Q: Calculus II

A: The given sequences, a) an=(-1)nn4b) an=lnn32nc) an=n-knn,  k is a positive constant.

Q: 68 3 (x + yz) dx + 2x dy + xyz dz, C consists of line segments (1, 0, 1) to (2, 3, 1) and from (2,…

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Q: t is a fact that the function  f(x) = x(161/x − 1) has a limiting value. Use a table of values to…

A: We need to find limiting value.

Q: 1. Write a list of angle degree measurements between 0° and 180° whose sin value can most easily be…

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Q: Using De Moivre's formula demonstrate that sin(3x) = 3sinx − 4sin3x

A: Given that sin3x=3sinx-4sin^3x De moivres formula is (cos x+ i * sin x) ^ n = cos n*x+ i * sin n*x -…

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Q: 2 3. Prove: sinx + sinxcot x = cscx.

A: I have stated the used formulas in the solution

Q: 1. (2x^²+4x-3)abc 2x+4+2+C x

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Q: The circle with center B is a dilation of the circle with center A using scale factor 2. Select all…

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Q: 2. A ball travels in a circle at 3 radians/s and starts on the positive x-axis. How far away is the…

A: Let 'w' be the angular speed of the ball travels in a circle.  Thus, w= 3 radians/s.  Let 't' be the…

Q: cit ++ -3 it -15- -30 -45 -60 -75- -90 -105 -120- -135- <x< N ton For the above quartic polynomial…

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Q: + -3 -2 3 lowest = middle = highest- 2 1 -1 1 3 For the above rational function f(x) = + a 17x 3.5r2…

A: f(x)=17x3.5x2+2 We know, if x=a is the inflection point of f(x) then f''(a)=0

Q: Use integration by substitution or integration by parts as appropriate to evaluate S given that A-4…

A: Given: A = 4 and B = 3.      ∫0π24xsin3xdx=4·∫0π2xsin3xdx=413-xcos3x-3·∫…

Q: 12. Find the radius and interval of convergence of the power series ∞ n=1 (x-4)" √√3n

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Q: -6 (Click on graph to enlarge) What is the Domain? What is the Range? 1,0 intonal notation

A: We have to find the domain and range of the given graph.

Q: 13. g(x) = x¹nx

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Q: Evaluate the limit lim (x=2^+) = 1/x-2

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Q: CoS z 5,⁰ √1+4t2 dt, find F'(x) 11. If F(x) =

A: The objective is to find F'(x).

Q: Consider the basis S = {V₁, V₂} for R2, where v₁ = (1, 1) and v₂ = (1, 0), and let T:R2 R2 be the…

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Q: Graph to the image below and find the volume of the area bounded by y = (x^2 - 4)^2 and the x-axis,…

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Q: Suppose dP dt and P(1) = 4. Answer the following. 3) Separate the differential equation, then…

A: The objective of the question is evaluate the indefinite integral.

Q: 79 <x< 3 4 5 6 For the above quartic polynomial f(x) = concave up. x4 2 +1.5x³ + 30x², identify the…

A: Given: From the above graph, we can see that the function is concave up in interval…

Q: ds Find the particular solution of dt H|2 1 = cos-t

A: The given equation is;  ds/dt = cos (t/2).

Q: Let F be the function below. If you are having a hard time seeing the picture clearly, click on the…

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