If a point A has the rectangular coordinate (v2, v2, V3), so its cylindrical coordinates are (2, 5, V3)

Q: Find and evaluate the sum. 4 k Σ k+4 k = 1 4 k Σ k+4 k = 1

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Q: 8. h(x) = (sin x )V tan²x + 1 %3D

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Q: Suppose that F(x) = f(t) dt, where 14) = [" V3 + u° du. %3D Find F" (2). F" (2) =

A: We have to find the value of F"(2).

Q: SX³V1+ 4x2 dx .3

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Q: (-2æ)" En=1 (5n)! Find the series' radius and interval of convergence

A: The given power series,∑n=1∞-2xn5n!

Q: Q2\Find the point at which the tangent to the curve y = v4x2 + 1-2 has its slop 2

A: Given: y=4x2+1-2 Slope = 2 We know that slope of tangent to a curve y is defined as dydx

Q: 3. (Extra) The Department of Health in a developing country has issued a warning that the number, N,…

A: Given problem:- The Department of Health in a developing country has issued a warning that the…

Q: b) Calculate the integral: - .- (x+ 2y) dædy where the region R is defined as: R= {(x,y) E R² : 0 <…

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Q: Use implicit differentiation to find the equation of the tangent line to the curve xy + xy = 18 at…

A: We can solve this as follows:

Q: Find the arc length L of the graph of r(t). r(t) = 10 cos(t)i + 10 sin(t)j + tk, 0<t< 2n

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Q: Question 1 If z=lm/x*+ y² + un /x²+y²+-tan 12 then the numerical value of dy? dx2 is equal to...-

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Q: Given the equation x – 2xy = 4, A. What is the slope of the line tangent to the graph of the…

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Q: Find the interval on which the curve 1 y = dt 4 +t+ 4t2 is concave upward. Note: When using interval…

A: 4t2+t+4 =2t+142+6316y=∫1x12t+142+6316dtFormula:∫ 1a2+x2 dx =1a tan-1xay =1216316 tan-12t+1463161x…

Q: Which of the following are equivalent to log, (4)? Choose all that apply. 1 log, (16) log, + log,…

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Q: Evaluate the function at the indicated value of x= 3. f(x)=log243* -5 5

A: To find the value of given function at x=3.

Q: Question 3 > Use part I of the Fundamental Theorem of Calculus to find the derivative of 14 dt f'(x)…

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Q: 9. f(x) = (x² + 3x + 1)100 %3D

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Q: Consider the integral / 3x* (25 + 1) dz. In the following, we will evaluate the integral using two…

A: ∫ 3x4x5+1dx=3·∫ x4x5+1dx=3·∫ x9+x4dx=3∫ x9dx+∫ x4dx=3x1010+x55Add a constant to the…

Q: a) Determine the position function, s(t), of an object if the acceleration function of the object is…

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Q: 2. 2. A = Fral eDen Value 2. 1- and eigen Vetor note

A: Note: According to our expert guidelines only first individual question is to be answered kindly…

Q: /121 - s" 12t – 5t' +9 dt = +C. (b) u14 + 4.5 Jū du =| +C (c) 1 dx = 5x6 +C.

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Q: Test the series below for convergence using the Root Tes 2n 7n +4 TL The limit of the root test…

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Q: Let y tan(3x + 6). Find the differential dy vwhen a 2 and da 0.4 Find the differential dy when z 2…

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Q: Quesion IS The graph of f(x) is given below and F() = f(t) dt. -2 Find F(4). a) O 12 b) 06 c) O d) O…

A: Given problem:-

Q: Evaluate the indicated function for f(x) = x² - 1 and g(x) = x - 3 algebraically. If possible, use a…

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Q: n(x-3)" Find the series' radius and interval of convergence Zn=1 2n /n2+1 100 Paragraph B IU A Lato…

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Q: Approximating Sums Suppose you wish to approximate the area under the graph of f(x) = 2 cos(r) + 3…

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Q: Find the limit. NOTE: Enter the answer using round brackets. t2 +4 1' lim t00 9t2 + 10' 8t. |(?,?)

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Q: Use long division to divide. (5x - 12x? - - 4x + 3) ÷ (5x + 3)

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Q: length of the curve r = 4 sin 20 for ÷sos 6 2

A: To find the length of the curve r=4 sin 2θ for π6≤θ≤π2.

Q: Question 8 Evaluate the integral below by interpreting it in terms of areas. In other words, draw a…

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Q: 1. Consider the graph of y f(z) below. State the value of each of the following. You do not need to…

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Q: 1. Let f(x) = - sin(2x) and g(x) = cos(x). %3D (a) Find the amplitude and period for f(x) and g(x)…

A: f(x)=-sin(2x)-1≤sin(x)≤1-1≤-sin(2x)≤1Amplitude of f(x) is 1.g(x)=cos(x)-1≤cos(x)≤1Amplitude of g(x)…

Q: Find parametric equations for the tadgent line to the curve with the given parametric equations at…

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Q: 20 For the sequence an n+1' its first term is 10 20 its second term is 3 its third term is 5 its…

A: Given :an=20n+1

Q: Question 9 > A 25-year-old woman burns 800t cal/hr while walking on her treadmill. How many calories…

A: Solution: Given  Function of calories are  burned= 800t cal/hr  So for 3 hrs  t=3 So calories burned…

Q: Approximate the point of intersection of the graphs of f and g. (х, у) 3 y 2 5 10 15 -2 -4 Solve the…

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Q: Write the following sum as a single logarithm and fully simplify. Assume all variables are positive.…

A: Given :log4(35)+log4(y)-log4(7)

Q: For problems 3 & 4 find the arc length function for the given vector function. 3. F (t) = (f', 2r°,…

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Q: Gravel is being dumped from a conveyor belt at a rate of 30 cubic feet per minute. It forms a pile…

A: Use rate of change concept

Q: * This matrix is a 0 4 0 4 4 0 0 zero matrix square matrix diagional matrix unit matrix O

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Q: 8x +6x2 -9 3 2х-2

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Q: Q1\ Differentiate the following (choose two only) 1)z = sin (3x + 1) 2)f (x) = 3cot-12t 3)y = e 8*…

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Q: The function f(x) = 6(x – 5)2/3 is increasing on the interval %3D and is decreasing on the interval…

A: We are allow to solve one question and three subpart of question only so if you want rest of…

Q: .......................... .......................... Solve the equation algebraically. Round your…

A: Solving the problem by finding the value of x.

Q: Solve the logarithmic equation algebraically. Approximate the result to three decimal places. 8+ 7ln…

A: op

Q: G(x) = tant dt Find G(1) = Find G' () =

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Q: Find the critical numbers of the function. g(x)%3D8X+sin 8x

A: Given query is to find the critical numbers for the function.

Q: 4. Use synthetic division to show that c is a zero of the given polynomial function. a. P(x) =x'-4x²…

A: a. P(x)=x^3-4x^2+5x-2 At c =2 Hence by synthetic devision 2| 1  -4    5    -2    =&gt; coefficient…

Q: Find the derivative w = sin* y cos*y a. sin³ 2y cos 2y b. sin² 2y cos 2y c.sin 2y cos 2y d. sin 2y…

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