Find the geometric series or state that it diverges for n=0,infinity        e^-6n

Q: What is one solution to the trigonometric equation 3cosx - sinx + 3 = 0 in the interval [0, 2m]? 0 O…

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Q: Evaluate the integral. [2 sec *0 tan ²0 do [2 sec ¹0 tan ²0 do = [

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Q: Find x. Round your answer to the nearest tenth of a degree. x = 山。

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Q: If g(x) = 5 +x+2e², find g-¹(7) = 1

A: NOTE: Refresh your page if you can't see any equations. . here we need to solve this equation using…

Q: Consider the region bounded by the curve y = 4x2 - x3 , the x-axis, and the lines x = 1 and x = 3.…

A: Graph:-

Q: Find an equation of the tangent line to the function y = 2x² at the point P(1, 2). Solution We will…

A: We need to find an equation of the tangent to the function y=2x2 atthe point P1,2.Note: We will…

Q: Find the derivative of the function f(x) =13arcsin(x-1)

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Q: Find the position vector for a particle with acceleration, initial velocity, and initial position…

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Q: Find the area of region bounded by the curve y= 2x3+ 8x2-10x, the x-axis and the lines x = -2 and…

A: Given query is to find the area of the region.

Q: Does the function satisfy the hypotheses of the Mean Value Theorem on the given interval?…

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Q: X y' - m₂y = C₁ e¹₁x, c₁,m,, m² are constants, 1 m ₁ m₂ I

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Q: The function f(x)=3-64 has an absolute maximum value of and this occurs at a equals

A: We have to find max value of function

Q: A particle moves in a straight line with velocity t-2-1 ft/s. Find the total displacement and total…

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Q: Solve the following exponential equation. Express the solution set in terms of natural logarithms or…

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Q: A particle moves along the x-axis so that at time t > 0 its position is given by x(t) = 3t³ - 27t² +…

A: Given that , xt=3t3-27t2+45t-33 find the total distance traveled by the particle from 0≤t≤6.

Q: 1 X "S “Ţ (x² + y2) dzdydx 04 12 O ! 11 60 3 20 O-11 60

A: Given, ∫01∫0x∫1yx2+y2dzdydx

Q: Use the information to find and compare Ay and dy. (Round your answers to four decimal places y = x4…

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Q: Find the area of the region that is bounded by the given curve and lies in the specified sector. 3T…

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Q: 1. Complete the square to algebraically find the key features of the quadratic function. y=-3x² - 6x…

A: As per our guidelines we are only supposed to solve first three parts of questions

Q: 4 n n 3 +1)

A: Gven sequences:- a)n3n4+1 b)3n3-12n3+1

Q: Find a function whose graph is a parabola with vertex (4, -5) and that passes through the point…

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Q: a. lim x→0 b. lim x-0 sin(x)+1 5x+e²+(x-1)² tan(-x) 2x Q4 Compute the following limits sec(x + 4) c.…

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Q: The bar graph below shows the percentage of students who received each letter grade on their last…

A: The total number of students =60 The bar graph shows the percentage of students who got grades A or…

Q: Given: (2x³ — x − 1) ÷ (x − 1) = 2x² + 2x +1 - Therefore: (2x² + 2x + 1) ÷ (X − 1) = 2x³ O True O…

A: The statement is false .

Q: 1. Evaluate the limit. lim √x²+1 X-00 3x+2

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Q: Multiply and simplify: (4x) (8x²) The answer can be written in the form cx where: C= p=

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Q: Prove the identity. cos (x-y) sinx-sin (x-y) cosx = siny Note that each Statement must be based on a…

A: The objective of the question is proving the identity.

Q: please

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Q: A particle moves along the x-axis so that at time t> 0 its velocity is given by v(t) = −20t³ + 60t.…

A: Given data÷ t = time t≥0 Vt=-20t3+60t

Q: 4 g(x) 3 N 2 1 2 3 -1 0 4 5 6 7 x f (x) f'(x) -1 3 6 2 -4 5 3 4 -2 7 0 1 9. The functions f and g…

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Q: 5. Find all points of inflection for f(x) = (x² - 3)².

A: Given query is to find inflection points.

Q: Find the order one Differential equation of (x-2)y'=y+2(x-2)^3

A: x-2y'=y+2x-23

Q: J 1 (4-x²)3/2 dx

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Q: Evaluate the following integral π/2 S π/3 sin x √√1 + cos x -dx

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Q: Set up but do not evaluate an integral for the volume of the solid obtained by rotating the region…

A: Topic = Volume

Q: 2. A cellphone company charges Php 25 for at most 2gb of data used in a month, and an additional Php…

A: The answer is in step 2.

Q: Evaluate the definite integral by the limit definition. Lxdx

A: evaluate the definite integration by limit definition

Q: 1. Write the equation log2439 = in exponential form. [A] 2435-9 243 [C] =9 [B] 95-243 [D] 9 - 243 2.…

A: NOTE: Refresh your page if you can't see any equations. . write both sides as an exponent of 243…

Q: Determine whether the sequence with the given nth term is monotonic and whether it is bounded. Use a…

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Q: Consider the region bounded by the curve y = 27x − x4 and the x-axis.  Find the exact area of the…

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Q: The temperature at a point (x, y, z) is given by T(x, y, z) = 300e-x² - 3y² - 9z² where T is…

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Q: The graph of a function f is shown below. 1 Suppose the function g is defined as g(x) f(x) =, we'll…

A: Note: - According to the company policy we can attempt only three subparts of a question so please…

Q: Part III. Find the 53rd derivative of sin x. Show your solution. I

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Q: Find the area of the shaded region. 74 +3 sin(e) 0 414 D-1 41 2 32 2 41 2 EN

A: Topic = Area

Q: 8 Evaluate; give your answer in reduced proper fraction or mixed number: 1- 9 + G|5

A: 189+535

Q: Consider the function h(x) = f(x² - 1). Give the formula for the derivative h'(x).

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Q: A car's rear windshield wiper rotates 105°. The total length of the wiper mechanism is 23 inches and…

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Q: Find a unit normal vector for the following function at the point P(1,−3,1): f(x,y)=x3 (Please show…

A: See the answer below

Q: HOMEWORK NO. 1 (A) Eliminate the arbitrary constants. 1. xsiny + x²y = c 2. ax² + x + y² = 0 3. y =…

A: We have to eliminate the arbitrary constant from the given expressions

Q: Given f (x) O-3 O 0 0 1 x+2 =2+2,g(x) = *=², find (ƒ + g) (1)? =

A: See the answer below