The Seventh Gate As you approach the seventh gate, you notice that it is only a short distance to the area where your computer indicated the communication device was stored. You look past the gate hopefully, as your computer translates: The passcode for this gate is found by determining the domain of the derivative of f(x) and then evaluating 21 Enter the domain in interval notation. 34 the derivative at x = -- f(x)=√4-34x. Domain of f'(x): ƒ' (-31) b a sin (a) 8 a B 111 ?

Q: Let f(x) = x³ – 5x² + 2x - 5. Find the open intervals on which f is concave up (down). Then…

A: The solution is shown below-

Q: 7. Evaluate the limit: lim . a. 0 b. 1 *--* C. d. T +00

A: Given: limx→ππ

Q: Find by implicit differentia dy dx xey = x - y

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Q: Let f(x) = -12x sin(x) cos(x). f'(x) at x = ³7. 2 Evaluate ƒ'( ³ ) =

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Q: Find an equation for the tangent plane to the surface z + 3 = xy* cos(z) at the point (3, 1, 0)

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Q: 3 x-Vinc dx =

A: Given: ∫3xln(x)dx

Q: Given f'(x) = -9 sin(3x) and f'(0) = 2 and f(0) = 5. ƒ(7) Find f =

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Q: In this problem, p is in dollars and q is the number of units. (a) Find the elasticity of the demand…

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Q: 2. Determine whether the series is absolutely convergent, conditionally convergent, or divergent. ∞…

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Q: 5. Evaluate the limit: lim X+3 a. 0 b. 9 3x C. d. +00 -1 1

A: K=limx→3+3xx-3

Q: Use the root test to determine convergence or divergence of the series of the series. n=1 3n¹3+n…

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Q: Find the sum of the convergent series. (Round your answer to four decimal place Σ (sin(7))" n = 1

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Q: Determine the intervals on which the following function is concave up or concave down. Identify any…

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Q: Find the arc length of the curve y = ln x - ²² on the interval [1,3].

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Q: Solve the equation for the indicated variable. (Enter your answers as a comma-separated list a² + b²…

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Q: cos* xdx

A: To evaluate the following integral. ∫cos4x dx

Q: Implicit Solution (2xe ³4+ex) dx + 13x²e ³4 - y²) dy=0

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Q: 3. Evaluate the limit, if it exists: lim a. 0 b. 7 x² + x + 1 x+2 X²-2 c. 3.5 d. does not ex

A: H=limx→2x2+x+1x2-2

Q: ts) Let f(x) = 1. f'(x)= 2. f'(4)= 5x² tan(r) sec(x) Find the following:

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Q: Use a graphing utility to graph the region bounded by the graphs of the equations. Then find the…

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Q: Find the LU factorization of A = -1 -21 -3-7 I₂ A = || 21 x2 = 40 1 0 1 3 -3 -7 -1 0 and use it to…

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Q: Consider the function f(x,y)=e^4x−x^2−4y−y^2. Find and classify all critical points of the…

A: Given function:- fx,y=e4x−x2−4y−y2

Q: you have 2 . DU also can you do explain the integration by part showing what you are integrating

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Q: Refer to the following figure, which displays a right circular cone along with the formulas for the…

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Q: Show that the substitution v= ax + by + c transforms the differential equation A first-order…

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Q: A man flies a small airplane from Fargo to Bismarck, North Dakota --- a distance of 180 miles.…

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Q: = 4y cos(2x - 5y) at the point (5,2,8) Find the tangent plane to the equation z =

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Q: The passcode for this gate is found by determining the domain of the derivative of f(x) and 45 then…

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Q: Consider the functions graphed below. C (0,b) (1,1) (a) Find the slope of the line. slope = Answer…

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Q: Locate all the critical points of the function f(x,y)=8x−x^2−4xy^2.

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Q: Find the Maclaurin series and find the interval on which the expansion is valid. f(x) = ln (1-x²)

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Q: Question Graph the feasible region subject to the following constraints: 6x+8y > 208 x>8 y≥8

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Q: Suppose that f (x, y) = x³y². The directional derivative of f (x, y) in the directional (-3, 3) and…

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Q: 3√/t-1 S (³√t=¹) dt = 3 − 2t + c - C

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Q: Find the general solution of the following reducible second-order differential equation. Assume x, y…

A: Note :- Since you have posted multiple questions, we will provide the solution only to the first…

Q: 1. Simplify the expression, that is, rewrite the following expressions as algebraic expressions of…

A: (a)  J=sec(arctan(x3))lrt tan-1(x3)=ytan(y)=x3we know 1+tan2x=sec2x

Q: Water is poured into an inverted cone (such as the one shown) Assume the cone's height h is four…

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Q: Evaluate lim x→∞ _x3 _ 5x2 +52 – 2 x² + 4x +3 =

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Q: 26. Distinguish between average and instantaneous rate of change, use an answer. appropriate example…

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Q: Find all Singular points of the given differential equation then classify as Irregular Singular…

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Q: An astronaut on the moon throws a baseball upward. The astronaut is 6 ft, 6 in. tall, and the…

A: We have given that height of the ball after t seconds is s=-2.7t2+30t+6.5

Q: Find an equation of the tangent line to the curve at the given point. f(x) = 4x²-x³, (1, 3) y =…

A: Solution: f(x)=4x2-x3, (1,3)

Q: Find the interval(s) where the function is increasing and the interval(s) where it is decreasing.…

A: A function y=f(x) is said to be increasing in the interval (a,b) if for every x∈(a,b), f'(x)>0.…

Q: Determine if the series n = 1 7+1 3+8" converges or diverges and choose the option that describes…

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Q: Find an equation of the tangent line to the curve at the given point. y = sin(sin(x)), (4π, 0)

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Q: Find the Cartesian equations a. r = 3 b. rsin 0-10 c. rcos 0+3=0

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Q: Let P(x) = F(x)G(x) and Q(x) 7 (a) Find P'(2). (b) Find Q'(7). y 15 + 3 2 1 - = N F(x) G(x) 3 where…

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Q: Sketch the region whose area is given by the integral. Evaluate the integral. 8 sin(0) £726² π/2 J r…

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Q: Differentiate the function with respe z' = Z A .6 yo + Bey

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Q: 3. If z=x²y,x=2t+s, and y=1-st², find dz atl=2

A: As per our guidelines, we are supposed to answer only one question at a time. Since you have posted…