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Q: Verify the solution of the differential equation. (Enter your answers in terms of x and C only.) Dif...

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Q: A hot air balloon rising vertically is tracked by an observer located 7 km from the lift-off point. ...

A: Rate of change

Q: Give your answer in interval notation. For example, (2, 4) U (6, 00).

A: Given  We had given the graph of a function f x and we need to find the open interval for which the ...

Q: Given the point S (3, 1, –2) and the line x= 1+ 2t ; y=2+t; == 5 + 3t . Find the distance from the p...

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Q: Determine whether the integers in each of these sets are pairwise relatively prime. a) 21, 34, 55 b)...

A: Given sets of integers are  a) 21, 34, 55 b) 14, 17, 85 determine whether these are relatively prime...

Q: ~2 _ dar,ך3-א 3זר) ד2?ו? .מ

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Q: Find the real zeros of the following: 1. P(x) = 2x4 2. R(x) = - (x+1)3 3. Q(x) = (x+2) (x-3) (x-5...

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Q: (-k)=-* 2.What is the value of the series O A. 1286 147 631 O B. 294 1262 147 643 O D. 294

A: Expand the series from k=2 to 7

Q: What are the projections of the point (3,−2,−7)(3,−2,−7) on the coordinate planes? on the xy plane?...

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Q: Evaluate:(log x)sin' x dx

A: Given integral is ∫logxsin−1xdx. We have to evaluate the given integral. Use integration formula ∫fx...

Q: Assume that all variables are implicit functions of time t. Find the indicated rate. dx dy x² + 4y² ...

A:  Given :  x 2 + 4 y 2 + 6 y = 54  And dx / dt = 9  when x = 6 and y = - 3  Find :  dy / dt 

Q: O C. There is no solution. O B. There are infinitely many solutions. (Type an ordered pair.) O A. Th...

A: The given equations are  x= 5y-6 x= 2y+6   We have to find the solution of these equations

Q: Two vectors u and v in space are if and only if u .v=0

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Q: Determine whether the given vectors are orthogonal, parallel, or neither. 1. v=⟨1,2,−1⟩v=⟨1,2...

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Q: Evaluate:|(log x)sin' x dx

A: Integrating by parts, taking log(x )as first and sin inverse as second function. 

Q: x= 0, x= π &x= π

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Q: Given the point S(2, -1, -7) and the line x = 2+ 3t ; y 1+ t; z 3+ 4t Find the distance from the poi...

A: Hey we have to find out the distance between the point and the line.

Q: e. Deiermine tne equation of the asymptotes for the foiiowing functions. a) y=2(3**)-5 +4 b) y=-5log...

A: Topic :- Function

Q: lim tan- 4+7t 2-t

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Q: If H(x) = logb 1/x, show that H(b-1/z)= 1/z

A: H(x)=logb1x, we have to show that Hb-1z=1z

Q: Find all the second order partial derivatives of g(x,y) =x*y+2 sin (y) + 3y cos (x). 2 дудх ay? %3D ...

A: We have to find all the second order partial derivatives of the given function.

Q: Find the values of { and g with {2 0 and g20 that maximize the following utility function subject to...

A: We have f(l,g)=4 l1/2 g1/2 and we let h(l,g)=3l+5g-18=0 So we make a Lagrangian function say L(l,g)=...

Q: a. Write and simplify the integral that gives the arc length of the following curve on the given int...

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Q: 8. What is the derivative of y= Vu in terms of x? dy a) 2/y dulas b) 2vu d) 2/u

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Q: 3x -X - 1 = -½ 2x - 1 = -2 2x = 2 -1/2 %3D %3D 1/2 %3D

A: It is simplification. 

Q: Does the series from n=1 to infinity of (-1)^n/5^n conditionally converge, absolutely converge, or d...

A: We have to find that if the given series ∑1∞-1n5n conditionally converge, absolutely converge, or di...

Q: In regards to integrals  The amount of waste a company produces, W, in metric tons per week, is app...

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Q: ck Your Understanding! Half of the graph of an odd function is shown below. Sketch the other half of...

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Q: For any natural number m, evaluate m 2x2m +3x" +6 3m 2m +x dx, x > 0.

A: Integration of the function: - The process of finding the area of the region under the curve is know...

Q: Find the indicated root of the given equation to at least four decimal places by using Newton's meth...

A: The roots of equation is given below

Q: 2. 3(xy+2)dx+(§ x®y+8x=4y° xdy =0

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Q: 10. Find y" for each of the given functions. a. y= -3x³ + 4x=2 b. y = x2 + 7x5 + 9x

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Q: The series from n=1 to infinity of n(n+4)/sqrt(n^3+5n^2.  Does it converge or diverge?

A: Take n2  common from the denominator and then go ahead

Q: lim cotx e

A: Let's find. 

Q: [4] Let k and c be real numbers. Let f(x) be a piecewise function defined by x + 3 if x 2 Using the...

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Q: 4x+5 5. lim x - 00 V2x2–5

A: Firstly take common 'x' on both numerator and denominator and after that find limit.

Q: The terminal point of the vector v = i +2j +3k with initial point (4, 2, –3) is

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Q: Can someone please explain it to me ASAP??!! This is trig integral

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Q: sin' 2x d) lim- x-0 sin' 3x

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Q: [1 -3 -3 Use an inverse matrix to determine the linear combination of columns of the matrix A = that...

A: A detailed solution is given below.

Q: o++20 = G*+20): In 3)y = 2° + e tan3 %3D

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Q: g is a transformation of f. The graph below shows f as a solid blue line and g as a dotted red line....

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Q: The graph of x + z² = 1 is an ordinary right circular cylinder. Indicate axis of the cylinder lies a...

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Q: For what value(s) of tt does the equality ⟨t3−6t,0.333333t2+3⟩=⟨0,5⟩⟨t3−6t,0.333333t2+3⟩=⟨0,5⟩ hold ...

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Q: Question 1 Some values of a differentiable, invertible function f and its derivative are given below...

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Q: Evaluate 3. 12 tanx dx. S12tan'x 12 tan x dx =

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Q: Alternating Series Test (1f applicable) to deter the convergence of the series. therwise, refer to a...

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Q: 20. z = 19. г x - y 22. z = 21. z = /9 – x2 –- y| x² + y² 24. z = tan(uv³) 23. z = (sin x)(cos y)

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Q: Given the graph of the function f(x) below, estimate the derivative of the function at z = -2. Selec...

A: As we know that, The derivative of the function at a point is equal to the slope of the tangent line...

Q: (i) Find the acute angle (in degrees) between the following two planes:  8x+6y+12z=24 and -8x+6y-12...

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