Find the equation of the tangent at the given value of x.

Q: Which of the following is a bounded sequence? 0 {1} O {n sin n} °{(-1)} {(−1)²+1_ non} cos n

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Q: Write the infinite series using sigma notation. 6+ 6 2 + 6 ات 3 + 6 σ 4 6 5 + -Σ

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Q: Approximate the area under the curve y = with 4 subdivisions. ³ from x = 0 to x = 2 using a Right…

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Q: Determine whether Rolle's theorem applies to the function shown below on the given interval. If so,…

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Q: r² = sin 20

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Q: 1. Y = 2x³ +3 (x4 - 3) ³

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Q: Find the area of the region enclosed between f(x) = x² + 11 and g(x) = 2x² +2. Area = Note: The…

A: Given query is to find the area enclosed by the curves.

Q: Solve for x: 2sinx=3

A: NOTE: Refresh your page if you can't see any equations. . the given expression is divide both sides…

Q: 5. Carl wants to invest P50000. His friend advises him to invest in three types of accounts: one…

A: Given  Total invest amount = P50000 Let the invested amount in 3% account is x The invested amount…

Q: on’t graph. Just what are the inflection points and relative min/max?

A: here , we have some properties of a function f(x) ,  then ,  we have to find its inflection point…

Q: The Maclaurin series is given by the formula f(n)(0)xn fx = [ f(n) (0)x² n! n=0 Find the Maclaurin…

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Q: 5. Evaluate the integral using the following: . Formulas: a. [²x²³ dx = 4/7/ [²³x³dx x³ dx b. L'a…

A: To evaluate the given integrals.

Q: 0 dx=

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Q: 3. (0°++) y 8sec 2x

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Q: 2. Solve the equation for x. Pay attention to the domain of the natural log: In In x + ln (2x + 1) =…

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Q: Let A(z) represent the area bounded by the graph, the horizontal axis, and the vertical lines at t =…

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Q: Evaluate the definite integral. 25   0 9e   x   x dx

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Q: D.f'(x) is decreasing at x = | I E. The slope of f(x) is positive at x = F. The slope of f'(x) is…

A: We know f'(x) decreasing when f''(x)<0 The slope of f(x) positive when f'(x)>0 The slope of…

Q: The 17th term of an A.P. exceeds its 10th term by 7. Find the common difference. Show that 2√3-1 is…

A: Note that, according to Bartleby guidelines, we can answer only the first question in the case of…

Q: b)y= 4 x-2 ,(6,1) c)f(x)=√√x+4,x=5

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Q: Estimate Ay for y=2x² +8x+2 at x = 1 and Ax=0.4. Round to 3 decimal places.

A: Given,            y=2x2+8x+2 at x=1 and △x=0.4To find : Estimate △y, round to 3 decimal places

Q: Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the functions  b)…

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Q: What is the value of k in the equation (A) 5/3 B 3/5 5/8 25 on [ (3√/ x² +5√/\x³) dx = ²3x³¾/³ +…

A: The given integral ∫3x23+5x35dx=95x53+258xk+C We have to find the value of k.

Q: Use properties of a right triangle, trigonometry, and implicit differentiation to determine the…

A: By using the properties of a right triangle, trignometry, and implicit differentiation to determine…

Q: a. Determine whether the Mean Value Theorem applies to the function f(x) = − 1 + x² on the interval…

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Q: Suppose the derivative of a function f is f'(x) = (x + 1)4(x − 3)(x - 5)6. On what interval is f…

A: given function is    given that , derivative of a function is f'(x)=(x+1)4(x-3)7(x-5)6 for critical…

Q: Which of the following statements is/are TRUE? 1. Sese u du = [sec{u- =]du 2

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Q: 2. (6399 #4 p. 298) Setup, but do not evaluate, the integral which when evaluated will equal the…

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Q: y = log₂ 3x³

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Q: Using disks or washers, find the volume of the solid obtained by rotating the region bounded by the…

A: The given curves are: y=ex,     y=0,     x=-1     and     x=1

Q: Solve the FIRST ORDER LINEAR D.E. Linear in r sin 0 dr de = -1 - 2rcos 0

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Q: The acceleration of an object (in m/s²) is given by the function a(t) = 5 sin(t). The initial…

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Q: a Level 1: Matching 1) Match the standard form of the inequality with the slope intercept form. 4x +…

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Find the vertex, focus, and directrix of the parabola, and sketch its graph. y² = -16x

A: Given Equation:- y2=-16x

Q: Find the indefinite integrals of the following. Answer is already given. Show step by step on both…

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Q: 37. f (x² + e¹) dx

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Q: Estimate the area under the graph of f(x)= rectangles and right endpoints. R₁ = In = Repeat the…

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Q: Below is the graph of a function f. -2 H

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Q: 1. Fill in the table below. (x, y) (-3,0) (4,3) (0,5) (r, 0) 5, π

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Q: An object with an initial velocity of 15 m/s undergoes an acceleration of a(t) seconds after an…

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Q: 10 1 +£³f (²x)} &x= ? If f is a continuous function and F'(x)=f(x) for all x ER, then

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Q: 5. y = 3sin (2x²)

A: Solution: Given data, y=3sin(2x^2)  dy/dx = d/dx [3sin(2x^2)]

Q: 5. Consider the tables of values for the two functions shown. X -2 −1 0 1 2 y = f(x) 9 4 1 0 1 X -2…

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Q: 2. Find a and b so that y = x³ + ax² + b will have a relative extremum at (2,3).

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Q: Determine if the series converges or diverges. If the series converges, give its value.

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Write an equation in slope intercept form of the line with the given parametric equation:  X=3T-10…

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Q: Problem 7. series converges or diverges and mention the test you are using. Show all work. 00 (2) Σ…

A: To solve this problem we can use p-test , comparison test and root test

Q: Given f(x) = (x - a)² where a is constant. Where does the absolute maximum value of f occur on the…

A: Given,            fx=x-a2 where a is constant.To find : Where does the absolute maximum value of f…

Q: y = = e(2x³+5) ²

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Q: ) If cos (y) = and y is in the first quadrant, find cot²2/1.

A: To find the given trigonometric expression