y = x 5 x € [14] (ABS. 3√ หน่วย)

Q: The format of the answer should be km/min. Can you help with the unit also? Thank you

A: The solution is shown in step-2

Q: Let f(x) = -2e+¹+e⁹. −2e*+1 ƒ'(0) =

A: To find:

Q: Use Lagrange multipliers to find the point (a, b) on the graph of y = e9, where the value ab is as…

A: Here we want to find the minimum values of the product  subject to the constraints..Let's consider…

Q: A system of linear equations and a reduced matrix for the system are given. 10/7/20 x + 3y + 2z = 4…

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Q: 1. ,* (x³ +3) dx

A: To evaluate the following integral.

Q: Please show your answer to at least 4 decimal places. Determine the gradient of f(x, y) = e³ sin(4y)…

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Q: Please show your answer to 4 decimal places. Find the direction in which the maximum rate of change…

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Q: A car was valued at $27,000 in the year 1995. The value depreciated to $14,000 by the year 2000. A)…

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Q: Write a polar equation of a parabola with the focus at the origin and the vertex (r, 0)=(5, 1). O 7=…

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Q: Suppose a population grows according to a logistic model with initial population 1000 and carrying…

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Q: dy əx The complete solution of PDE, p² + px + py+xy = 0, where p = (A) (2y-x²-₁)(x-logy-₂)=0 (B)…

A: p^2+px+py+xy=0

Q: One model for the spread of a rumor is that the rate of spread is proportional to the product of the…

A: Given that one model for the spread of a rumor is that the rate of spread is proportional to the…

Q: Calculate the domains of the following functions: a) f(x) = 2x_ b)f(x)=x²_ c)f(x) = - Answer: a)…

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Q: For m-2x+3]=11 with an ε = .001, § = O 0.005 O this is not the limit O 0.002 O 0.0005

A: To find the delta value corresponding to a given epsilon value, we need to consider the definition…

Q: Find r'(t), r(t), and r'(t) for the given value of to. Then sketch the space curve represented by…

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Q: Esc 85°F Mostly sunny F1 x−3 7-9 O the limit exists for any c O does not exist when F2 C = -3 O C =…

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Q: (4)Evaluate the definite integral (a)(1+ si 0 1+ sin x)dx (b) (2t+cost) di (b) f( -x/2 x+ X - dx R/4…

A: Explanation of the answer is as follows

Q: Let z(x, y) = -5e* sin(y) where x = t & y = 2nt. dz dx dy dt dt dt Calculate da dt dy dt = 978 = 2π…

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Q: 6 Let (u, v) be the inner product on R² generated by A = - [ -1 and let u = (3, −5), v = (7,4). Find…

A: We have to find the .

Q: d Calculate[ri(t) r₂(t)] and [r₁(t) × r₂(t)] first by differentiatin dt d dt the product directly…

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Q: Sketch the region enclosed by the curves 2-5=5y and x-25= (y-4)², and compute its area. A Submit…

A: Using integration, we can find the required area.

Q: Find the the surface area of of the indicated surface The portion x-y-2z=4 with x>0, y≤0, and z≤0.…

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Q: S Write the equation x² + y² +6x+8y+ 24 = 0 in vertex form. 85°F Near record Esc F1 O (x+3)² +…

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Q: Consider the following theorem. Theorem If f is integrable on [a, b], then [f(x) dx = lim Σ f(x) ΔΧ…

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Q: Find a Cartesian equation for the curve represented by the given Polar equation. (a) r = -2 (b) T =…

A: We have polar form equationWe have to convert it in cartesian form

Q: The traffic flow rate (cars per hour) across an intersection is r(t) = 200+800t - 90t2, where t is…

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Q: Consult the figure to the right, which shows a circle of radius r with center at O. Find the area K…

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Q: triple integral (x + 3y) dV where E is bounded by the parabolic cylinder y = 3x² and the planes z =…

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Q: 2) Find the domain and range for the following functions: a) y = ²²-² b) y=√x-3x² c) y= 3+2 cos x…

A: Domain :- It is the possible values of x where the function is defined.Range :- It is the values of…

Q: The triangular face of a gabled roof measures 34.9 ft on each sloping side with an angle of 133.7°…

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Q: Find the derivative of: -9 sin² (-5x²). Hint: sin²(x) = [sin(x)]2...so ...so use the chain rule…

A: Chain rule:- [f(g(x))]'=f'g(x)×g'(x)

Q: Evaluate the limit along the stated paths, or type "DNE" if the limit Does Not Exist: xy + y³ lim…

A: To evaluate the following limit along the stated paths, or type "DNE" if the limit does not…

Q: what, if anything, does the comparison tell us about the convergence of the integral? 1 sin² x Jo x²…

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Q: (5) 0 __sy=x - 6x*+ 8x 2 (Ans. 8 ตารางหน่วย) x

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Q: Solve for x: 6+3 - 6 = 215. 01 06 O-1 O o

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Q: If f(x) = = then 2 f'(x)=x8 f'(-3) = to dt > Next Question

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Q: {(1,5), (-2,3)} is a spanning set for R². Express the vector (4, -3) as a linear combination of the…

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Q: Use the parallelogram method to find the following sum v + w when v = (-1, 5) and w = = (6,-3). Use…

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Q: Given a = 4i - 7k in R³, determine a) a in component form b) la (exact value)

A: given vector

Q: Find the intervals on which f is increasing and decreasing. f(x) = - 12x5 +75x4 -80x³ Select the…

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Q: Suppose that f(x, y)= x² + y² at which 0 ≤ x, y and 3x + 8y ≤ 7. 1. Absolute minimum of f(x, y) is…

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Q: Let f(x) = Then f'(x) = 7 sin x 2 sin x + 6 cos x TT The equation of the tangent line to y = f(x) at…

A: The given function is; f(x)=7sinx/(2sinx+6cosx)Find f'(x) And find equation of tangent line.

Q: 7.1.9) Find Indefinite Integral

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Q: The radius of a circular oil spill after t minutes is given by r(t) = √16t. Find the instantaneous…

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Q: Evaluate the triple integral E (0,0,0), (2,0,0), (0, 1,0), (0, 0,4). zydV where E is the solid…

A: Given Data : Triple Integral  and E is the solid tetrahedron with vertices       To find : Simplify…

Q: = A lune occupies the region inside the circle x² + y² = 8y but outside the circle x² + y² Assume…

A: y=

Q: Find the domain of r(t) and the value of r(to). NOTE: Round your answer to two decimal places when…

A: Domain of a function is the set of values for which the function is defined.The argument of a…

Q: A poster of area 19440 cm² has blank margins of 10 cm wide on the top and bottom and 6 cm wide on…

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Q: O 22 I √x+1= ?

A: Given data

Q: 7. Given vectors ū = -2ï - 3j + k, v= 3ï + j-2kand w=(3,0,5), find if possible: a) |ū - 3v +2w | b)…

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