Write the sum using sigma notation: cos(4) + cos(13) + cos(22) + cos(31) + ... = n=0

Q: Find the following for the given equation. (t)-9²,3a( (a) (e)- (b) (1) (c) Find()).

A: Please see the below picture for detailed solution.

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

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Q: At what points is the function y = X +8 x² - 15x + 56 continuous?

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Q: Find the distance between the points A(1,3,5) and B= (7, 12, 7).

A: find the distance between two point  this is the question of vector geometry  we have to find the…

Q: -2 -1 5 4 3 2 1 2 ม 2 4 5 T 6

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Q: Consider the graph of a rational function f that is shown below. -5 4 -3 -2 Preview Preview Preview…

A: Part a. Observe from the graph that the function f approaches -∞ as x approaches the point -2 from…

Q: Solve the logarithmic equation. Be sure to reject any value of x that is not in the domain of the…

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Q: Find 4 Σ (-()) i=2 First write out the summation: Find the answer:

A: Please see the below picture for detailed solution.

Q: ************* Sketch the graph of f and use your sketch to find the absolute and local maximum and…

A: From the graph of a function we can conclude the following.Absolute maxima value is the maximum…

Q: Use the steps to curve sketching to graph the following functions 3.) f(x)=x²-12x+36

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Q: Given f(x) = x (x + 6), answer the following using calculus: a) The interval(s) of increase: b) The…

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Q: Use partial fractions to find the indefinite integral. (Remember to use absolute values where…

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Q: Find the local and absolute maximum and minimum values of f(x) f(x) = cos x, x ∈ [-3pi/2 , 3pi/2

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Q: k=0 4(-2) is an alternating geometric series, which diverges. converges Σ 4( - 2)² k=0 Enter DNE for…

A: ∑k=0∞ 4-2k

Q: rectangular page of a textbook has uniform margins of 2cm on all four sides. If the area of the…

A: Given query is to find the dimensions of the page.

Q: A car rental company offers two plans for renting a car. Plan A: 35 dollars per day and 10 cents per…

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Q: A 32 grams of a certain substance was initially poured and dissolved in an 18-liter container full…

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

A: Given query is to find the derivative.

Q: Evaluate √ √R 6xy5 dydx R where the region is bounded by the curves y = = x² 1 and y = 1-². Sketch…

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Q: 30. x2/3 + y2/3 = 4, (-3√/3, 1) (astroid) УА О 8 x

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Q: A bank features a savings account that has an annual percentage rate of r 3.3% with interest =…

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Q: A certain affects virus 0.1% of the population. A test used to detect the virus in a person is…

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Q: please

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Q: Find the dy/dx: y=4/x^3

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Q: Let f(x) = If we use the method of logarithmic differentiation to find f'(x), we obtain f'(z) in the…

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Q: Evaluate the integral. 5 dx 1 (x² - 1)3/2 0.134080 X

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Q: Consider the following function. f(x) = 16-x2/3 Find f(-64) and f(64). f(-64) = f(64) = Find all…

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Q: 7 6 5 4 3 2 1 -6 -5 -4 -3 -2 -1 -1 -2 -3 -5 -6 7+ 2 4 66 Over which interval of a values is f'(x) >…

A: we need to find out the interval of x values where f'(x)>0

Q: Consider f(x)=x^3−3x^2−9x+4 Note:Note: Use round parentheses for your intervals (open interval…

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Q: 3. An airline company offers a promo of Php 100.00 promo fare from Manila to anywhere in the…

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Q: 118 SATU 101 X. A. f(x) = 3x^3+12x^2+5x+7 B. f(x) = 2x^2+5x+7 [hint: this function will always be…

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Q: Complete the table shown to the right for the population growth model for a certain country. k=…

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Q: Suppose the position of an object moving horizontally after t seconds is given by the following…

A: According to bartleby guidelines when student post multiple subpart question then expert must have…

Q: lve the exponential equation by expressing each side as a power of the same base and then equating…

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

Q: I → Question 2: Are the limits of these functions defined as a too? (please take this opportunity to…

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Q: Given the vector-valued functions u(t)= esti+e-¹ + 2tk v(t) = 2ti - 3t² + 3k d find (u(t) v(t)) when…

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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: A particle moves along the x-axis so that its velocity at time 0 < t < 18 is given by v(t), whose…

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Q: Two long straight roads, one running East-West, and the other running North-South meet at a point O.…

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Q: Consider f(x)=x^4-2x^2+3 Note:Note: Use round parentheses for your intervals (open interval…

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Q: Determine the behavior of the functions defined below. Note that it is common to write "g(x)→∞" to…

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Q: Evaluate the gradient of f(x, y, z) = log(x² + y² + z²) at (1, 0, 1).

A: To evaluate the gradient of fx, y, z=logx2+y2+z2 at 1, 0, 1.

Q: The same capacitor circuit is now charged up to 12V and the instantaneous voltage is v=121-e -e²²).…

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Q: Multiply and simplify: (4x) (7x²) The answer can be written in the form cxº where: C = p=

A: Simplify

Q: A bank features a savings account that has an annual percentage rate of r = 3.4% with interest…

A: Topic - compound interest  We are given, P: present value =11500r: annual percentage rate=3.4%t:…

Q: If f(x) + x²[f(x)]4 = 18 and f(1) = 2, find f'(1). f'(1) =

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Q: Write the sum using sigma notation: -3+3-3+3 - ... =

A: As we see that absolute value of  each term is   3  and sign of each term is  alternative negative…

Q: Calculator may be used to determine the final numeric value, but show all steps in solving without a…

A: Given A3=36πV2A=Area of balloonV=volume of balloon

Q: Consider the following. f(x, y) = x/y, P(4, 1), (a) Find the gradient of f. Of(x, y) = 73°F Mostly…

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Q: Consider the function f(x) = x³ (x − 1)³. Determine each of the following. - 1. f(2)= 2. f'(2)= 3.…

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