Food I Food II Food III Vitamin A 400 1200 800 Vitamin C 110 570 340 Calcium 90 30 60

Q: Solve the initial value problem t2 dy - t = 1+y+ty, y(1) = 3. dt y = =

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A: (a)(a.1)(a.2)b.(b.1) Graph:(b.2) RELATIVE EXTREMUMTherefore, the function has a relative minimum of…

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A: a. Total Cost function:The total cost function represents the total cost incurred by the firm in…

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A: Now, we use the linearization formula: y≈f(a)+f′(a)(x−a) Where:a = 1f(a)=1f'(a)=−1/4x=1.18Plugging…

Q: How to solve?

A: 1. To find the domain and range of each function, we consider the restrictions on the input x that…

Q: Evaluate the integral using the Fundamental Theorem of Calculus, Part I. (Use symbolic notation and…

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Q: + ऐ 2) Change the order of integration for the triple integral f² (x² + In(y) + z)dx dy dz so that…

A: The objective of this question is to change the order of integration for the given triple integral.…

Q: Find the maximum or minimum of the function. y = 2p2 + 10p − 4

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Q: + ऐ 2) Change the order of integration for the triple integral f² (x² + In(y) + z)dx dy dz so that…

A: The objective of the question is to change the order of integration for the given triple integral.…

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A: The figure

Q: please help solve and explain please

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Q: Find the derivative of the function. y= log (8x-3) OA. dy 이 = dx OB. dy о dx C. dy = 1 In 10 (8x-3)…

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Q: (a) y dy dx (b) y dy dx Calculate the derivatives of the following functions. = 5 log (√√9 – 11x) =…

A: Step 1:Step 2:Step 3: Step 4:  Thanks

Q: Question 2. Find a linear differential equation of order 5 of real constant coefficients, that is an…

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Q: E 9) Use spherical coordinates to evaluate triple integral fff (x² + y²+z2) dv, where E is the ball…

A: The objective of this question is to evaluate the triple integral of the function f(x^2 + y^2 + z^2)…

Q: Calculate the derivative of the following function. y= csc (2x-6) dy dx

A: Giventhat,                        y=csc(2x−6)…

Q: Determine whether the following series are convergent or divergent: sin()+cos() 7" n=1 +00 Σ1(1 +…

A: Step 1: Here given series is ∑n=1∞​un​,where un​=7nsin(n1​)+cos(n21​)​Now ∣un​∣≤7n2​=vn​,say,∀n≥1Now…

Q: Evaluate the following indefinite integral ∫18sinx/9cosx-cos^3x * dx

A: Step 1: Step 2: Step 3: Step 4:

Q: Determine the function f satisfying the given conditions. f'(x)=sin(x) cos(x) f(n) = 8 f(x) = A…

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Q: Evaluate the surface integral F. ds for the given vector field F and the oriented surface S. In…

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Q: Calculus I May I please have the solution for the following question? Thank you, 7) An industrial…

A: Step 1: Setting up the Area of the tank in terms of the radius of the cylinder Step 2: Find the…

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Q: 2. Given the following graph of velocity versus time, find the displacement and the distance…

A: Given the following graph of velocity versus time, to find the displacement and the distance…

Q: lim (3x3 -2x2+7x-11) I Question Details Done 9. Evaluate the limit algebraically. Make sure to show…

A: If you are having doubt in any step please comment here. Thank you

Q: 2. (parametric curves) Find a parametric equation for the following curve using 0 as the parameter…

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Q: Consider the series n=1 (2x)n n2

A: The objective of the question is to determine the values of x for which the Ratio Test is…

Q: Determine whether the series is absolutely convergent, conditionally convergent, or divergent: Σ n²…

A: Step 1:if series is cgt then lim an=0 Step 2:arctann range is -pi/2 to pi/2 so series is less or…

Q: Please solve the following calc 3 problem (show all work by hand plz)

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Q: Let g(x) = - for f(t) dt, where f is the function whose graph is shown. y f 0 1 3 6 (a) Use part one…

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Q: Find f'(x) for the following function. Then find f'(8), f'(0), and f'(-3). f(x) = -2x²+6x f'(x) = ☐…

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Q: Consider the unit vector as shown. Point A is located at the origin. Point E is (1,0,0), Point Fis…

A: Step 1:     Step 2: Step 3: Step 4:

Q: Given f(x, y) = -3x3 + 5xy - 2y5, find fr(x, y) = fy(x, y) =

A: The objective of the question is to find the partial derivative of the function f(x, y) = -3x^3 +…

Q: Use the graph of the function f to find lim f(x) and lim f(x). X-00 ∞ - <x Select the correct choice…

A: • As x approaches negative infinity, the graph of the function f(x) approaches the line y = 3.…

Q: Does each of the following series converge or diverge? Why? Show all your work and MUST include the…

A: To determine whether the series ∑n=1∞​(3+8n2)(2n2+1)​​ converges or diverges, I'll use the Direct…

Q: Find the magnitude and direction (in degrees) of the vector u = Round to the nearest tenths place. =…

A: The magnitude of vector ∣∣u∣∣=8.1The direction of vector is θ=119.7∘

Q: Q3 please

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Q: Assume that the mathematical model C(x)=11x+130 represents the cost C, in hundreds of dollars, for a…

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Q: SOLVE 4e In x-In (x-5) = 7

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Q: for: y = 3sin (4x- —— ) +2 3 determine two maxima y = 4cos (4x+ 1) −2 -2 determine three minima

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A: here I notice that integration of F.ds is same along any path      Thank you

Q: Find the indicated derivative for the function. f'(x) for f(x)=6x-8x²+5x-9

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Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. y = x3,    0 ≤…

A: Steps and explanations are as follows:In case of any doubt, please let me know. Thank you.

Q: Use the Midpoint Rule with n = 5 to approximate the area of the region bounded by the graph of f and…

A: Steps and explanations are as follows:In case of any doubt, please let me know. Thank you.

Q: Estimate the limit numerically or state that the limit doesn't exist: lim 2-1 h→0 h (Enter DNE if…

A: If you have any questions let me know in comment box thankyou for your question.

Q: K If the formula P=0.5643Y-1092.57 can be used to predict the average price of a theater ticket…

A: The objective of this question is to find out the year from which the average price of a theater…

Q: Calculus IMay I please have the solution for the following question? Thank you,

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Q: Find a formula for for the function below using the Derivative Rule for Inverses. dx f(x)=3-512x3 df…

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Q: please help solve and explain

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Q: Find f(x)=x³-21x²+19x+7 £fic concave DIS ON 1475 the inflection points.

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