1. Airports A and B are 450 km apart, on an east-west line. Tom flies in a northeast direction from A to airport C. From C he flies 359 km on a bearing of 128° to B. How far is C from A?

Q: მ2 Use the chain rule to find 3 and 4, where 8s5t, y=5s + 6t = x² + xy + y², x = 8s + 5t, y First…

A:

Q: Use implicit differentiation to find y' for 5x³y² + In (xy²) = 5 and then compute y' at (1, −1).…

A: Answer ::The final answer is 1211​Explanation:sol) Hence,The final answer is1211​

Q: Consider the logarithmic function: g(x) = 3 log2 (1-x) - 6 d) Sketch the function using the method…

A: Check explanation Explanation:Problem:Consider the logarithmic function:g(x) = 3log₂(1 - x) - 6d)…

Q: Evaluate the integral. π/2 0 [5 cos 17t i-4 sin 7t j + sin² 5t k] dt л/2 [5 cos 17t i-4 sin 7t j +…

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Q: Consider the definite integral Cx3 dx 0 How many partitions would be needed to approximate this…

A: The given integral is The error bounds for the midpoint rule If  and  be the error in the mid point…

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Q: 3) An adult human at rest inhales and exhales approximately 520 ml of air (called the tidal volume)…

A: An adult human at rest inhales and exhales approximately 520 ml of air (called the tidal volume)in…

Q: Q2\ (A) Find the tangent and normal to the curve x²-xy+ y² = 7 at the point (-1,2).

A:

Q: Use logarithmic differentiation to find dy/dx.

A: Answer is given below Explanation:

Q: dy Use implicit differentiation to find without first solving for y. dx ,5ry

A:

Q: Please help with Calculus 1 Question. Thank you.

A: dxdy​=x​2​+x36​ Or dxdy​=x2x​​+x36​ (Note: These two are just the same or…

Q: Consider the following. y= x²+27 54 y y=x³+27 x 3 (a) Write the integral that describes the area of…

A: (a)∫−30​(x3+27)dx(b)  4243​ square units Explanation:Step 1: Step 2:

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A: •Proper integral: An integral which has neither limit infinite and from which the integrand does not…

Q: principle: $15,000 Interest Rate: 12% Date borrowed:May 12 Date Repaid : September 16 Time:127…

A: The principal amount is P=15000The interest rate is r=12%=0.12Given time is t=127 days.The simple…

Q: a) Using logarithmic differentiation find f'(x) if f(x) = (3-2x) 3√x³+7

A: since you have posted multiple question in this question which are not interlinked so i have solved…

Q: Find the maximum value of w=xyz on the line of intersection of the two planes x+y+z=40 and x+y-z=0.

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Q: 3x3 +5y3 lim (x,y)-(0,0) x² + y²

A: To find the following limit.

Q: 2. Use the method of shells to calculate the volume that is created when the following area is…

A: ​The required volume is, V=368π​ unit3​Explanation:Step 1:​Region is bounded by…

Q: 3) An adult human at rest inhales and exhales approximately 520 ml of air (called the tidal volume)…

A: Question No. (d):Given: An adult human at rest inhales and exhales approximately 520 ml of air…

Q: 10) (a) Find the exact value of tan20 if tane = (b) Find the exact values of sinif cosa = -- 8 17 3…

A:

Q: Solve for x. −1+ 1+x+x² + ··· + x² + 10 n where|x|<1. 3 x king and you will earn half credit for…

A: x = 1/5Explanation:

Q: Find the directional derivative, Dчf, of the function at the given point in the direction of vector…

A: Therefore, the required answer is Du​f(2,3)=0Explanation:Step 1: Step 2: Step 3: Step 4:

Q: Find an equation of the tangent plane at the given point: F(r,s) (32 +21), = - - (2,1) z = Submit…

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Q: Find equations of the following. y = ln(x+2), (0, 0, 1) (a) the tangent plane × (b) the normal line…

A: a)) x-y+z=1b)) x= -t y= tz= 1-tExplanation:Step 1:Step 2: Step 3: Step 4:

Q: The demand curve for original Iguanawoman comics is given by q =  (398 − p)2 50       (0 ≤…

A: Ep = - 0.2 (has been rounded off) Explanation:

Q: Calculus 1 Question. Please help   Thank you

A: Ans : dxdy​=6cos6xExplanation:Explanation:

Q: solve and include ristrictions for: In (In e (ext)) = 4 and 1 e X = 2

A:

Q: 2x²+2x+3 Consider the function y=4x-4x (a) To use a limit and find its horizontal asymptote what…

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Q: Find the average rate of change of y with respect to x from P to Q. y= x²+ 7; P(5, 32), Q( 5.1,…

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Q: Given the differential equation below, find the solution using Laplace transformation. The…

A: The objective of this question is to solve the given differential equation using Laplace…

Q: Vector-valued functions (VVF) VVF Point P t value (for point A) r(t) = ½t²i + √4 − t j + √t + 1k (0,…

A: The objective of the question is to find the domain of the given vector-valued function, find the…

Q: If z = tan (金) and x = u² + v² and y = u² – v², find the - following partial derivatives using the…

A: Formula for the total partial derivative is given as follows

Q: lim 2xy +5yz + 3xz (x,y,z) (0,0,0) 4x2 + 25y²+9z²

A: To find:-

Q: Calculus Math Question. Please help.   Thank you

A: Derivative of y with respect to x is given below Explanation:Step 1: Step 2: Step 3: Step 4:

Q: A. Find the equations of the intersection line between the planes 3x + y z = 2 and x-y+2z = 3

A: Given two equations of planes3x+y−z=2 and x−y+2z=3To find: equations of the intersection line…

Q: find all the values of a such that y=xa is a solution of yII-12x-2y=0

A: The objective of the question is to find the values of 'a' for which the function y = x^a is a…

Q: The graph of g′ is given below:  Answer the following questions about the graph of g based on the…

A:

Q: At the start of an observation, there are 7727.8 grams of a radioactive element present. The number…

A: The value of dt/dN at N = 25 up to 2 decimal places is:(dNdt​)N=25​=50.44Explanation:Given equation:…

Q: dy Use implicit differentiation to find without first solving for y. dx -16x³ + 4x16y+y₁ = 77

A:

Q: I need help with number 17.

A: If you're seeing the number 17 often, it might mean your guardians are trying to tell you something.…

Q: Part 2. Simplify the following Case 2 Rational Function to a single fraction: 2 - X g(x) = - 3 1 - X…

A: Horizontal Asymptote: y=2/-1​=−2Therefore, the equation of the horizontal asymptote is y=−2. Below…

Q: Use Lagrange multipliers to find the minimum value of the function f(x, y) = x² + y² subject to the…

A: We know, that

Q: Use the linear approximation to estimate (3.03)³ (1.03)³ ≈

A:

Q: = Suppose that a continuous income stream has an annual rate of flow f(t) 700e-0.052 (in thousands…

A: Given:a continuous income stream has an annual rate of flow  in thousands of dollars per year.To…

Q: y= log (ln 2x) (This function has no y intercept) • Is this function continuous ? Explain

A: Given function is log(ln2x).

Q: The function f(x) = 1/x^2+1 is concave down on which interval?  Please use step by step detailed…

A: The objective of this question is to find the interval on which the function f(x) = 1/(x^2+1) is…

Q: Website Profit The latest demand equation for your gaming website, www.mudbeast.net, is given by…

A: the log-on fee should be $1.15.Thus, the largest possible monthly profit is $321.25.Explanation:Step…

Q: Suppose z = x² sin y, x = s² + 3t², y = 6st. Əz Əz A. Use the chain rule to find oz and 0 as…

A: Suppose .(A) By using chain rule to find  as functions of .(B) To find the numerical values of  when…

Q: dy Find by implicit differentiation da 5+3x=sin(xy)

A: 5+3x=sin⁡(xy6)ddx(5+3x)=ddxsin⁡(xy6)

Q: Please help me with this, Look at the image Question: what are the x-coordinates of all points of…

A: The objective of this question is to find the x-coordinates of all points of inflection of the…