Find f(x) by solving the initial value problem. ƒ'(x) = 1 +e³ +—; ƒ(1) = 7+e

Q: Evaluate the surface integral positive (outward) orientation. SS.F. F. ds for the given vector field…

A: Let's find flux across S.

Q: Find the eigenvalues An and eigenfunctions yn(x) for the given boundary-value problem. (Give your…

A: Find the eigenvalues An and eigenfunctions yn(x) for the given boundary-value problem. (Give your…

Q: Find the Taylor series, centered at c = 3, for the function 1 1-x² f(x) = ΣΠ n=0 The interval of…

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Q: 3. lim x² ln x x-0+

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Q: If the marginal revenue for ski gloves is R'(x) = function. R(x) = - 0.2x + 60 and R(0) = 0, find…

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Q: Given that sinθ=√75/10sinθ=7510 and cotθcotθ is negative, determine θ and cotθ. Enter the angle θ in…

A: To find the angle θ and the value of cotθ

Q: f(x) = ex/x

A: Given :   critical point equate to zero

Q: 17. 8 Σ n=1 (−1)" x" na η

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Q: Given f(x, y) fzz(x, y) = fzy(x, y) = – x³ − 3xy¹ + 3y5, find

A: f(x,y)=-x3-3xy4+3y5for  fx(x,y)  assume y=constant and diffrentiate with respect to x of…

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Q: b) Suppose that w = x2 + y² - z2 and_x = p sin + cos0, y = p sin ф sin 0 , z = p cos ф Əw aw find…

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Q: Question Convert the equation r = 6 cos(0) + 3 sin() into an equation in rectangular coordinates.…

A: in polar coordinates   x=rcosθ   and  y=rsinθr2=x2+y2given  r=6cosθ+3sinθ

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Q: Question Convert the equation r = solved for y. 8 sin(0) into an equation in rectangular…

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Q: Find all possible functions with the given derivative. t 1²/24 f'(t) = cos 9t- sin f(t) =

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Q: Find the particular solution for the initial value problem. dy + 4x³ = 6x² and y=2 when x = 0 dx y=0

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Q: Suppose parametric equations for the line segment between (3, 0) and (4, — 10) have the form: [x(t)…

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Q: If the marginal cost for ski gloves is C'(x) = 5.5x + 10.5 and C(0) = 351, find the cost function…

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Q: For the sequence an its first term is its second term is its third term is its fourth term is (-1)"7…

A: an=(-1)n7n2for first term put n=1

Q: 2. If cos a = sin ß = ²³, P(a) € QI, P(ß) € QIII, find the following: c. sin(2a) (* e. sin (2) b.…

A: Note  :As per our guidelines we are supposed to answer only one question if there are multiple…

Q: 7. Find the area of the triangle with B = 83°, a = 7 ft, and c = 12 ft.

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: che marginal cost for ski gloves is C'(x) = 5.5x + 10.5 and C(0) = 351, find the cost function. [x)…

A: Given query is to find the cost function.

Q: 11. Suppose the population of a town is 23,000 people in 2010. Write an equation for the population…

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Q: Find the arclength of the curve X ㅠ = 6 cos (5t), y = 6 sin(5t) with 0 ≤ t ≤ 10

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Q: Evaluate 1. limit 2. limit = -3 3. limit does not exist 4. limit x+1 lim x⇒−1 x² – 3x − 4˚ 1 5.…

A: Given: limx→-1x+1x2-3x-4

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A: for critical points put  fx=0 and fy=0∂xn∂x=nxn-1∂constant∂x=0

Q: 2. (D4 + + 5D² +4) y cos (3x +4)

A: We need to solve D.E.

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Q: 9 -9 0 √√81-x2 dy dx

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Q: Find the rate of change of total revenue, cost, and profit with respect to time. Assume that R(x)…

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Q: Evaluate the definite integrals using substitution 1.) ²3√5x-1dx

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Q: tion true, or explain why it does not exist. (1 + c)" =2

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

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Q: The first derivative of a continuous function y = f(x) is y' = (12x - 10x²) (3-x)². Find y' and then…

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Q: Suppose that the monthly marginal cost for a USFS approved wildfire water pump is C'(x) = 40x + 715…

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Q: Question Find the area of the region enclosed by r = 5 cos (0). Enter an exact answer. Provide your…

A: Please see the below picture for detailed solution.

Q: The equation of motion for a particle moving along the y-axis is given as y(t) = 2t² - 8t + 3 for t…

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Q: Find the indicated partial derivatives of: дz дх Oz au || || Z= 4x x2+y2

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Q: Consider the following integral. [²³ Find a substitution to rewrite the integrand as U = V1 + 7x dx…

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Q: Find the following antiderivative. J dx (x ln x) In (In a

A: To evaluate the antiderivative

Q: The function f(x, y) = x³ sin is a homogeneous function of degree a. 1 b. 2

A: given  f(x,y)=x3sin(yx)for homogeneous function   if f(λx,λy)=λnf(x,y)  than degree is n

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Q: Simplifying the logarithmic expression log, b³ - 3 log, a + 5log, a¹b will give you m+nlog, a The…

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Q: Number

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Q: Find the arclength of the curve x with 2 ≤ t ≤9. 1 3 Y - 2

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