Find the angle between the vectors. a=(3, 4, – 2), b=(0,1,2)

Q: Use appropriate substitution to reduce the following equation to a variable separable and then dy 3x...

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Q: PRACTICE #3 The graph of f (x) is given by 3 Determine the following limits. Write your answer in th...

A: Given query is to find indicated limit.

Q: + cosx r- 2xy)y' = yly + sinx] ;when x = 0, y = 1 %3D %3D

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Q: f(x) =sin x. 1) find f'(x). Second, Third, and Fourth derivitive.   2) What is f^(4n)(x) when n i...

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Q: ах? + с, x < -2 a) Given f(x) = }bx + 8, - 2<x < 3, determine the values of a, b, and c if: -2c, x2 ...

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Q: = ze'y = e+z'e= C to denote an arbitrary constant.)

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Q: Use the graph of f (x) = – below to find a number & such that f (x) – 0.25| < 0.1 whenever 0< |x – 4...

A: Here, f(x)=1x is the given function.

Q: Find the most general antiderivative or indefinite integral. You may need to try a solution and then...

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Q: S tan -) dx = a) x tan-1 (-) +÷In(x² + 1) + C b) x tan-1 () +글x2-글In(x2 + 1) + C c) x tan-1 (는) +글x2...

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Q: Given sets X and Y. For x EX and for y E Y, we form the Cartesian produc X x Y := {(x, y) : x E X, y...

A: Given that: X={-1, 1}Y={-2, 0, 2}

Q: Suppose you were given $500 from your uncle. You deposited that money in a bank and added $10 per mo...

A: Topic:- algebra

Q: |(n+1)!] n!

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Q: Determine whether the improper integral converges and, if so, evaluate it. (Use symbolic notation an...

A: The given integral,        ∫1∞dxx+13

Q: Consider the following function. +] - 2x + 2 3 2 (a) Find y'-f"(x). "(x) = (b) Find the critical val...

A: Topic = Derivative As per guidelines , At  a time only three sub-parts can be answered.

Q: Determine whether the improper integral converges and, if so, evaluate it. (Express numbers in exact...

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Q: 60-63. Finding asymptotes Find all the asymptotes of the following functions. x + x 63. f(x) %3D 2r ...

A: Let's find. 

Q: Suppose that the position of a particle is given by s(t)=3t^3+6t+9 (a) Find the velocity at time t....

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Q: Given 8:[E!,i]> SR be a fanction H ベto if x-0 (5 cefined by gGs) = 2 Cosl Deter mine whether the fel...

A: This question is related to bounded variation . solve in step 2.

Q: 10) Determine whether the series converges or diverges 2" n! n"

A: The given series,  ∑n=1∞2nn!nn

Q: A town's population t years from now can be estimated from the formula P(t) = 6250 + 400t - 88 V/t. ...

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Q: ) A spherical balloon is inflated with gas at the rate of 800 cubic centimeters per minute. How fast...

A: I am attaching image so that you understand each and every step.  

Q: The graph of f (x) is given by 3 Determine the following limits. Write your answer in the form lim f...

A: The graph of the function fx is given by Condition for the limit to exist:  limx→c-fx = limx→c+fx T...

Q: 22.) Find the slope of the tangent to the curve, y = 2x – x? + x³ at (0,2).

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Q: Ise substitution to find the Taylor series at x = 0 of the function 21 sin (- x). Vhat is the genera...

A: Topic:-  calculus

Q: Use the difference an+1 a, to show that the sequence - {n – 3"}, is strictly increasing or strictly ...

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Q: Find y' : In(cos² 3x) = e*+y + sin¬1 y

A: Given that: ln(cos23x)=ex+y+sin-1y

Q: For the linear function y = f(x) = 3x + 10: df at I dr a. Find -7. f'(-7) = b. Find a formula for I ...

A: For (a), dfdx=f'(x)=-3x+10' =-3 So, f'(-7)=-3. For (b), We need to find a formula for x = f-1(y). y=...

Q: Determine whether the series converges, and if so find its sum. If the series diverges, indicate tha...

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Q: Find the profit function if cost and revenue are given by C(x)= 155+1.5x and R(x) = 7x-0.09x. The pr...

A: This is a basic calculus problem

Q: dx x² Vx² +9

A: Given that a integration of 1/(x2√x2+9). We know that Integration power rule is given  as - integrat...

Q: ngle. Roun 20 km 34° A 25 km

A: According to our policies we are allowed to solve one question at a time. Kindly report the other qu...

Q: The graph of f(x) is given by 3 Determine the following limits. Write your answer in the form lim f(...

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Q: Express the surface area of revolution for: x = (y4/4) + 1/(8y2), 1 ≤ y ≤ 2; x@axis

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Q: Plot P(2, -4, 1) and Q(0, 3, 4) on the same set of coordinate axes

A: Given query is to plot the points in the same set of axis.

Q: Let (M; d) be a metric space. Show that the set {B(x; 1=n); x ∈ M; n ∈ N*} is a Basis for the metric...

A: Given :  (M; d) be a metric space. To Show :  the set {B(x; 1=n); x ∈ M; n ∈ N*} is a Basis for the ...

Q: 2. H(x) = 4x2 + 4x - 4 %3D Circle the correct choice: Concave up or concave down? Vertical Stretch, ...

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Q: You are designing a poster which has a border around the printed portion. The border is 2 inches wid...

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Q: a) Evaluate in terms of Gamma function ∫e^(−y^2) y^13 dy   limit 0 to ∞ b) Find ∫f(x) dx limit: 1 t...

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Q: Use the Root Test to determine convergence or divergence (or state that the test is inconclusive) of...

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Q: Consider the following. y = 3x3 - 27x2 + 9 (a) Find the critical values of the function. (Enter your...

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Q: The total sales of a company (in millions of dollars) t months from now are given by S(t) = 0.04t° +...

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Q: Solve: (2x + 3y – 5)dx + (3x – y – 2)dy = 0 . Show solution for determining the coordinates of the p...

A: Find your answer below 

Q: Consider the following sequence: {a,} = {n – n² } 2 +0 %3D Use an+1 - an to show that the given sequ...

A: Given that: {an}={n-n2}1∞

Q: Find the equation of the tangent line on x2 + sin y – ry? = 4 at (2, 0). |

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: 24.) The radiusr of a circle is increasing at a rate of 4 centimeters per minute. Find the rate of c...

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Q: Use Green's theorem to evaluate s cy? oy)dx + (y²rlo4") dy where Cis s hoon belbw, N y = 2-x² G,1)

A: The given path contains 4 curves: C1:  from (1, 1)  to  (-1, 1)C2:  from (-1, 1)  to  (-1, -2)C3:  f...

Q: Use any method to determine if the series converges or diverges. Give reasons for your answer. (- 5)...

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Q: Evaluate the integral. Show all your work. tan’ x sec xdx 3

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Q: Find the measure of the complement of a 52° angle. The measure of the complement of a 52° angle is (...

A: Given Angle is 52°We know that If sum of two angles are 90 degrees then they are called as complemen...

Q: For the function, find the relative maxima, relative minima, and horizontal points of inflection. (I...

A: Given:- y=x3/3 +x2 -24x+25  To find:- Relative maxima Relative minima  Horizontal points of inflect...