Express the following sum using sigma notation. a. 7+8+9+ 10 + 11 5 a. 7 + 8 +9+ 10 + 11 = E| k=1

Q: For the function x-3 f(x) = 2x +5 etermine coordinates of the y-intercept of the inverse function…

A: We can find the coordinate of y-intercept inverse function as below.

Q: Given the ordered pair P, determine the requested sin, cos, or tan of angle a. P(5,5) tane = %3D -1…

A: Given query is to find the value of the indicated function.

Q: dy Solve of x°y4 – 6e(2-y) = 3. 12e(2z-v) –3r2yA 4 A. y' %3D 6e(2z-y) +4x³y³ B. y' 2e(2z-y) – 3z²y4…

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Q: Let i denote the square root of – 1. For the two complex numbers z = 3e# and w = 6e'† find z. w.…

A: We have to find the multiplication of complex numbers.

Q: 2x e d.x 4e2 – 8e" + 5

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Q: Vectors a and b have lengths 2. If Ja + b | = V7, determine the exact value of Ja – b|.

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Q: Let f(x) = 2^x+ x. Find (f ^−1)′(1).

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Q: The following series is divergent: 7n-2 \" Σ n+5 n =1 Select one: O True O False

A: We can solve this as follows:

Q: What will the domain be, could you state the domain?

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Q: x = -3 is a critical number of the function f(x) = (x – 3)(x + 3)². Select one: O True O False

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Q: 4: A- Solve the differential equation subjected to the condition y0)=1 dx

A: Firstly separate the variables and integrate on both sides and solve the differential equation.…

Q: Write each of the other trigonometric functions of e in terms of cos(e). (Enter your answers as…

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Q: B. Find the value of x for which Inx + (Inx)2 + (Inx) + (Inx)* +.= 9

A: Use the formula of sum of infinite gp series and then simplify.

Q: All exponential functions can be written in many forms. Write the function f(t) = 620e0.35t in the…

A: We have to transform the given function in given form function.

Q: 7. y = csc csc (3x – 1) 8. y = 3secx + 45

A: Solving

Q: How did you get the volume of the hole and the ball? Referring to 4/3pi in the beginning

A: We know volume of a sphere of radius r=43πr3 cubic unit

Q: how is the irrational zero found?

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Q: Find the domain and the vertical asymptotes, if any, of the following function x²-3 x²+10x+21° O a.…

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Q: 2(-1)"-1 n²+4 n – 1 | n=1 n²+ 3

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Q: 323. Evaluate: J tanV |1 – x |dx 1 + x

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Q: After a person takes a pill, the drug contained in the pill is assimilated into the bloodstream.…

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Q: can i have handwritten solution, thanks!

A: We can solve this as follows:

Q: A freshly brewed cup of coffee has temperature 95°C in a 20°C room. When its temperature is 63°C, it…

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Q: (d) , 2x Vx2 + 2 dx -5 (e) Si J5-y dy

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Q: 3. Evaluate: lim ( ) X-0 sinx

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Q: V. 90) Preview 5 = 5. v. lim g(x) = Preview H-1 vi. lim g(x) = Preview I-1" vii. lim g(x) = Preview…

A: As per our guidelines we can help you in solving only first three subparts.Rest of the problems you…

Q: Find the domain and the vertical asymptotes, if any, of the following function x-9 x2+10x+21 ' a.…

A: Given

Q: Let u = 8i + 2j, v=i+j, and w =i-j. Find scalars a and b such that u = av + bw. a = b =

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Q: Determine the linear approximation of f(x) = x* at x = 1. а. у %3D 4x - 3 O b. y=- 4 x - 3 О с. у-…

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Q: 2. Find the area of: (a) the region bounded by y = x^2, the x-axis and the line x = 2 (b) the region…

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Q: 7. Determine whether the given integral is convergent or divergent dx? '1 x²+1 a. convergent b.…

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Q: 5 1 8. Given: dx, determine at what value of x the function discontinuous and values of exponent p…

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Q: Convert the equation to polar form. (Use variables r and 0 as needed.) x = y

A: Given :x=y

Q: The velocity of an object moving along a line is given by v = 3t2 + 1 ft/s on the interval 0sts4. a.…

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Q: 3. f(x)== 4. f(x) = + 1

A: 3) f(x)=1/(2x)  4) f(x)=(2x-4) /(3x) +1

Q: Checking using Second Derivative Test

A: From the secon derivative test, if the value of second derivative at the critical point turns out to…

Q: 4. Evaluate the following limits: sin x (a) lim x-0 x³-7x2+10x (b) lim x→2 x2+x-6 sin at (c) lim…

A: Note:- As per our company guidelines we are supposed to answer only first three sub-parts. Kindly…

Q: B. Find the slope and the equation of the tangent line to the curve 1. y = 4 - 3x at (- 1, 1) 2. y =…

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Q: For the points P,(4,2,3) and P2(5,1,2), find the direction of P,P2 and the midpoint of line segment…

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Q: Question There are two lines through the point (−1, 3) that are tangent to the curve x^2 + 4y^2 − 4x…

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Q: а. 4(е?) b. 4(e² – e*) с. 4(e* — е?) d. 4(e*) e. None of the above DA DE D.

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Q: The period of y = 2 sin 4x is _____. 2 pi/2 4pi

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Q: Use this definition with right endpoints to find an expression for the area under the graph of f as…

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Q: 5. y = cot cot (sinx) 6. y = 5 sec sec (2x) + 20

A: We can solve question no 5 and 6 using chain rule as below.

Q: The market research department of a company recommended to management that the company manufacture…

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Q: The answer is not -900. Please give me the correct answer.

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Q: a.How long will it take an investment to double in value if the interest rate is 4% compounded…

A: Given query is to find the time taken to double the investment.

Q: Find an equation of the sphere whose endpoints of a diameter are (-2, 0, 5) and (-1, 2, 3).

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Q: Finding Area by the Fundamental Theorem Find the area of the region. See Example 2. y = 7eX/3 2 -2 2…

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