Lim. Zan² (4x) X² it: to x 70

Q: 10. Find the amplitude (a) and period (T) of the following function f(t)=2cos(720xt-6)

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Q: Find the set A UB. U= {1, 2, 3, 4, 5, 6, 7, 8, 9) A = {1, 2, 3, 5} B = {4, 1, 6} Select the correct…

A: To find the set A U B.

Q: 18 n=1 n 10⁰ 2n²

A: Recall: Ratio test

Q: Find the sum: 6. Check that Σ1-0 (1) (35;) = (¹7) =0

A: Given that, ∑i=047i53-i = 7053 + 7152+7251+7350+745-1                           = 1 . 5!3! 2! + 7 .…

Q: derivative of the following: 1) y = nsin x + log(2¹nx) + x²tam 2) y = √tan x

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Q: m=1 4 m! + 4m

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Q: 1. FIND THE FIRST PARTIAL DERIVATIVES j) f(x, y, z) = y x+y+z k) f(x, y, z)=√√sin²x + sin² y + sin²…

A: This question can be solved using the concept of derivative using quotient rule and derivative of…

Q: lim +0+x (1-2)

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Q: Forms used: y-y1=m(x-x1) M= y2-y1/x2-x1 Y=mx+b I was supposed to write an equation for these…

A: There is a little calculation mistake. The whole solution has been given here. Assuming the question…

Q: (2√5x - 1)²

A: Expand the given equation

Q: (q) f(x) = sin(sin(sin(x)))

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

Q: Find f'(x) and f"(x). f'(x) = f"(x) = f(x): = X 3 + ex

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Q: 5. a. If g(x) = f(x) cos x, h(x): find g'(). - f(x) tan x where f() = 14 and f' (²7) : b. find ƒ'…

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Q: (b) f(x) = LC 1 6x +5

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Q: Find the area of the given region. Use a graphing utility to verify your result. 1 + In x³ X 1.418 y…

A: We will integrate y from 1 to 2 to find the required area.

Q: 5. The derivative of the function y = A. TRUE y²-8 y² +8 is equal y' B. FALSE = 48 (v³+8) ²

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Q: x2 • x + ²/1 X • x² + 2 x3 •x-²-=- unctions. ● • X³/2 x ● 5x²3 ex² +5

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Q: 3 Prov that x + y² + z ² a ² = πra 3

A: Revolve circle along x-axis using disk method find the volume of sphere .

Q: In questions 1-4, assume that fis a one-to-one function. 1. (a) If f(2)= -5, then what is f-¹(-5)?…

A: According to Bartleby guidelines, we are supposed to do only one question with 3 subparts. If you…

Q: 1) Define the number of solutions to the systems graphed above. O No solutions. An infinite number…

A: The system/lines coincide in the given graph. So, the system will have an infinite number of…

Q: Sin (x+y) house buy and at - dx up no Please

A: As per our guideline we are supposed to be answer only one question you can repost other question in…

Q: Let f:(0,2)→ be defined by, f(x) = { 2x-1, (a) f is differentiable exactly at two points (b) f is…

A: To find- Let f : 0, 2 → ℝ be defined as fx = x2if x is rational2x - 1if x is irrational Then, f is…

Q: Find the general form of the equation of the circle below. x² + y² + ax + by + c = 0 If the given is…

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Q: 2) Find the equation of the line passing through the origin and the point of intersection of a⇒ x +…

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Q: Find the interval of convergence of the power series 12 en (x - 2)".

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Q: find the domain of the function algebraically 3. y= 3x-1/x2 -2x-3

A: Given function, y=3x-1x2-2x-3We know that The domain of a function is the set of input or argument…

Q: Please fast solve  -1/2n +(- 1/2n

A: Solution is done in step 2

Q: Let r(t) = (sin(t), cos(t), 3 sin(t) + 7 cos(2t)). Find the projection of r(t) onto the xz-plane for…

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Q: 16. y" — у = 0

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Q: 2. This function has several values at which it is discontinuous. Choose one and ex- plain, using…

A: Concept: Discontinuous function: If a function in algebra is not continuous, it is referred to as a…

Q: Suppose that f(5) = 1, f '(5) = 5, g(5) = -3, and g'(5) = 6. Find the following values. (a) (fg)'(5)…

A: It is given that: f(5)=1, f'(5)=5, g(5)=-3, g'(5)=6 Let us assume f(x) and g(x) are functions of x.

Q: Determine whether the space curve given by r(t) = (2t², t² + 3t − 18, t − 3) intersects the x-axis,…

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Q: Find the points of intersection of the graphs of the functions y = 35 - 21x and y = 15x9x² (enter…

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Q: In the following iterated integrals, draw the region of integration and reverse the order of…

A: Answer and explanation is given below...

Q: 5) Find the following by using the partial fraction method x²-x+ 2 x³ - 1 i) S ¡D) dx (y² + 1)² dy…

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Q: Find the second derivative of the function. f(x) X X-9

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Q: standard form of the equation of the circle below. (x - h)² + (y - k)² = r² coordinates of the…

A: Given :2x2+2y2-16x+6y-32=0

Q: Evaluate the definite integral: [ 2√5x-2 dx =

A: Given query is to find the value of the integral.

Q: lim X118 7x - √√√4x6+x5 x − x² + 3x³

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Q: 2 /m ¹/² n² 2m¹/4 4 4m-²n-41/2 4m¯²n¯ m²

A: Answer and explanation is given below...

Q: Question 8 Given this graph of f'(x), sketch f(x) given that f(0) = 80. -20 -10 30 25 20 15 10 -10…

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Q: ex 3-4e2x 21) f dx

A: Given expression:  ∫ex3-4e2xdx

Q: All points of plane PL are equidistance from point (2,-1,1) and (3,1,5), find equation of PL

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Q: Evaluate in polar coordinate I-** [ 5.² (x² + y²)dydx

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Q: N C 0 O N RE Ⓡ O

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Q: Differentiate the function. y' y = ex+5+4

A: The given function is: y=ex+5+4   As we know that; The Sum/Difference rule: f±g'=f'±g' The Power…

Q: A) Find the equation of the tangent to the following curve y = e* that is parallel to the line x -…

A: A)y=ex and x-4y=1 B) y=(ln t)7  and x=sqrt(t3-7).

Q: (c) Using the slope from part (b), find an equation of the tangent line to the curve at P(3, -4).

A: Given that y=42-xSolution :equation of tangent line at x1,y1 having slope m.y-y1=mx-x1x1,y1=3,-4m=4…

Q: 8 28. Σ2-12 k=1

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Q: 2) Let f be a (1:1) Pinction such that differenhable f(3) = 7 P(7) = 8, f'(3)=2, P(1) -3 If glad = f…

A: topic - derivative of inverse function if f(a)=bg(x)=f-1(x)then g'(b)=1f'(a)