A 25-year old woman burns 350 Gatorade is 55t calories during the tth hour. What is her net decrease in calories after walking for 4 hours? 60t cal/hr while walking on her treadmill. Her caloric intake from drinking calories burned

Q: | (1– 2r)dr

A: Given:∫01(1-2x)dx = ∫011dx- ∫012xdx                     ∫fx±gxdx=∫fxdx±∫gxdx…

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A: Given query is to find the gradient at indicated point.

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A:

Q: Use logarithmic differentiation to find

A: answer is in next step

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A:

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Q: Use Green's Theorem to evaluate the integral. Assume that the curve C'is oriented counterclockwise.…

A:

Q: 2. Use the linear approximation of f(x) = x² ln(x + 1) to estimate (1.01)² ln(2.01).

A: We need to estimate value.

Q: II. Use the first fundamental theorem of calculus to find F'(x) .Write your final answer on the box.…

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Q: (235 – 4.x25 + 2x)dx

A: The detailed solution is given below Thank you

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A: We need to solve the IVP given.

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Q: Problem 37: Convert the following complex numbers from rectangular form to polar form: a. 4+ j3 b.…

A:

Q: Suppose that in a memory experiment the rate of memorizing is given by M'(t) = – 0.004t? + 0.4t,…

A: Given,  M'(t)=-0.004t2+0.4t

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A: given circle x2+y2=4

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A:

Q: Use linear approximation, i.e. the tangent line, to approximate V16.2 as follows: Let f(x) = Va.…

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Q: f(x) = 2 – 5x², - 5< x < 1.

A:

Q: Use Stokes' Theorem to evaluate curl F· ds. F(x, y, z) = ze'i + x cos(y)j + xz sin(y)k, S is the…

A: Stoke's theorem: The surface integral of the normal component of the curl of F is equal to the line…

Q: 3. Find the area, take the elements of the area parallel to the x-axis. y= 2x°- 3x-9x; y =…

A:

Q: The number of bacteria in a certain population increases according to a continuous exponential…

A: Given that the number of bacteria in a certain population increases according to a continuous…

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A:

Q: A lighted candie burns outr according to the equation y'(1) =ky (1) where y is the length (in…

A: see below the answer and explanation

Q: Write the augmented matrix for the system of linear equations. 6x +y+6z = 8 3x- 7y-z = 6 x- 4y - 5z…

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Q: Do as indicated showing the details of your work. Show your complete se space provided and write…

A: We need to solve integral.

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Q: Write the equation of the trigonometric graph. try y = sin)+O 5 4 3 37 5 2. 2. 2 -2

A: Given query is to find the equation if the graph.

Q: Write a definite integral that represents the area of the region. (Do not evaluate the integral.) Y1…

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Q: 10 dx J6 x² – 25 (a) the given integration limits (b) the limits obtained by trigonometric…

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Q: If f(x) is continuous on the interval [a, b] and a <c < b, | f(x) dæ is equal to then

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Q: Sketch the graph of the function f(x) = x³ – 2x² – 5x + 6 using calculus – based analysis. -

A: Given problem:- Sketch the graph of the function f(x) = x3 – 2x2 − 5x + - 6 using calculus - based…

Q: Describe the graph of the equation. r = -4i+ (1 – rj+tk O It is a parabola in the plane x = -4, with…

A:

Q: 4- part 1 Find the derivative of the function f(u) = 4u° 4 - 2u1.8 0.4 %3D = (n),1

A: Differentiate wrt u

Q: Area of the polar graph

A: Topic:- geometry

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Q: Consider the function f(x) = 6x² – 2x + 11, 0 < x < 6. The absolute maximum of f(x) (on the given…

A: This question can be solved using the concept of absolute maxima and absolute minima.

Q: Consider the function f(x) = 12x° + 30x4 – 300x³ +3. f(x) has inflection points at (reading from…

A:

Q: 231 arginal cost of a product is given by 154 + dollars per unit, where x Is the number of units…

A: Given query is to find the increased in cost.

Q: ) Find p(3). ) Find p(13). =) Find p(13)-p(3). p(13)-p(3) 1) Find and interpret this result. 13-3 -)…

A: Given query is to find the value of the function at indicated points.

Q: a" + C,C E R. In a If a is any positive number except 1, then a" du True False

A: The given statement is True.The exception exist at a=1 because then in denominator we will have ln1…

Q: Find the area of the region enclosed between the curves defined by the equations y = x² – 2x + 2 and…

A: Solve the following

Q: If we apply Rolle's Theorem to the function f(x) = 2x2 – 16x – 4 on the interval [2, 6], how many…

A: We state Rolle's theorem here ------    Let f : [a,b] -&gt; R be a function continuous on [a,b] and…

Q: - In(a°y*) + x2 Consider z as a function of the variables x, y which is denoted by z and let P(1,-1)…

A:

Q: What is the area bounded by the graph of r 3-2sin0? O A = 2 (3 – 2sind)² d® O A = 4 5 (3 – 2sin8))°…

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Q: The function f(x) = 2x – 27x2 + 48x +1 has one local minimum and one local maximum. Use a graph of…

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Q: ||r(t) × r"(t)|| ||r(t)||° Use the formula k(t) to find k(t). r(t) = t'i + tốj K(t) =

A: We can solve as follows

Q: A stone is thrown vertically upwards, from the edge of a 5 m tall cliff with an initial velocity of…

A:

Q: Kuya Bill is selling 'Bill phones'. If the cost for selling r phones is given by 10000 C(r) = 120x +…

A: Given, Cost function, C(x) = 120x + 10000/x - 2000 Price Dand function, p(x) = 1000 - 2000/x2 + 200x