Given z = x² + xy¹, x = uv² +w², y=u+vew дz მა then find: when u = 1, v = − 1, w=0

Q: The speed of a tsunami (in meters per second) is approximated by S = √gd, where g is the…

A: Given s = gd2where g = 9.8 ms2d = depth of water s = speed of tsunami

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Q: Use a finite sum to estimate the average value of f on the given interval by partitioning the…

A: Given, Use a finite sum to estimate the average value of f on the given interval by partitioning the…

Q: Evaluate the integral f(2x- (2x + 8) (x² + 8x + 6)¹ dx by making the substitution u = x² + 8x + 6. +…

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Q: 1. Using the limit definition of the derivative, determine if the function f defined below is…

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Q: Find the solution to the differential equation shown: y" - 2y' + y = x² - 1; y = 7 and y' = 15 when…

A: Given differential equation, y''-2y'+y=x2-1, with initial conditionas as y0=7, y'0=15, We need to…

Q: g(x) g'(5) = 2 X 13 1+t2 dt

A: Given query is to find indicated derivative.

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Q: The arc length function for a curve y = f(x), where f is an increasing function, is s(x) = -fv² (a)…

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Q: Evaluate V = the double integral of (xy)dxdy D is bounded by y=x-1 and y2==2x+6

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Q: Determine whether the following series converges. Justify your answer. IM8 2 k=1 (k+ 2)² OA. The…

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Q: Write a rational function with the given characterstics. A) There is a zero at 6, a hole at x=-3,…

A: A) There is a zero at 6, a hole at x=-3, no vertical asymptotes, and horizontal asymptote at y=x-6…

Q: find the exact solution 40=3(1.15)^t

A: Given query is to find the value of t.

Q: Give the interval(s) on which the function is continuous. h(k)= NOTE: When using interval notation…

A: NOTE: Refresh your page if you can't see any equations. . the given function is  as we know, the…

Q: F(x) = F'(x)= = 2x 1,²² t² t² + 1 dt

A: Given query is to find the derivative.

Q: Question Differentiate the series represented by the function f below term-by-term to find the power…

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Q: Bryce has become confused after learning about Geometric Series. He believes that if he adds an…

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Q: Use elementary row operations to simplify and then perform a cofactor expansion to evaluate the…

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Q: A circle is shrinking, losing 15 cm2 of area per minute.  Find the rate at which the radius is…

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Q: Write out the first five terms of the sequence [10²], determine whether the sequence converges, and…

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Q: Find the possible points of inflection of f. b. Create a number line to determine the intervals on…

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Q: n writing your final answer, follow the format 2x^5y-3x^3ye^(x)+x^3-2y^2=0. Strictly no spaces…

A: Concept: For the D.E in the form Qdy+Pdx=0 The condition for exact differential equation is…

Q: Write the answer in a better format please. How do i know what is divided by what or what is raised…

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Q: Find the maximum and minimum values of the function f(x, y) = = subject to ³+y³ = 128 Please show…

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Q: Answer the following. Round your answers to the nearest hundredth. (a) Convert -213.7° to radian…

A: Let's convert degrees to radian.

Q: What is the differential equation of the given 1 parameter family of solutions? y = In[x + C] O y' =…

A: we need to find out the differential equation for the given equation.

Q: Determine whether the following series converges. Justify your answer. 8 + 10 Σ 8 k=1 k

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Q: Why is the cross product of two vectors axb always equal a vector  ?

A: Given query is to find why cross product produce vectors results.

Q: I For the equation h(x) = -√x+1 a) Complete the table: h(x) x 0 1 4 a b) Use the appropriate tool to…

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Q: ulate each of the following derivatives using only th vative. f(x) = x³, f'(2); g(x)=x+2, g'(a) (for…

A: Topic:- application of derivatives Note :- as per our guideline if more than three subparts posted…

Q: x² dx 2. √√√² +16 2

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Q: how do you shade 1/5 of a grid

A: The given data is: How do you shade 15 of a grid?

Q: Set up the triple integral for the function f(x, y, z) = 5 over the solid {(x, y, z) | x² + y² + z²…

A: The given function is:f(x,y,z)=5Solid S= (x, y, z) | x2+y2+z2≤28,  z≥0

Q: Question Evaluate the sum of the series answer. n+1 10²n-1 Enter an exact

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Q: Find the radius of convergence of the Maclaurin series for the function below. f(x) = tan ¹(2x)

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Q: Question. lim (x,y) →(2,-1) x + 2y : The following limit x3 x³ + 8y³ Select one: O does not exist. O…

A: To evaluate the following limit.limx, y→2, -1 x3+8y3x+2y

Q: Let f be a function defined by f(x,y)=3x4y²-4y. Evaluate the following: Vf(-1, 1) = -12 2

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Q: The fox population in a certain region has an annual growth rate of 7 percent per year. It is…

A: NOTE: Refresh your page if you can't see any equations. . the exponential function is given by…

Q: Given y=pq, find dp/dt when p=30, q=250, dq/dt=-200, and dy/dt=-5250.

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Q: K Convert the angle in radians to degrees. 6T 5 6T 5 radians radians =

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Q: Let ​f(u)= \root(3)(u) and ​g(x)=u=5+9x2. Find (f◦g)′(1).

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Q: M8 3 k=1 √6ke √6k the following series converges. Justry your answer. OA. The series is a p-series…

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Q: f(x) = cos x, a=- B 4 approximate cos(-0.26)

A: The linear approximating polynomial of a function is given by, L(x) = f(a) + f'(a) (x - a) and the…

Q: (b) X 2 (i) Identify the critical numbers of f. (Enter your answers as a comma-separated list.)…

A: The given graph of f' is:

Q: Find the derivative of the funct = In (³√/7x - 3) y' = y =

A: y=ln7x-39

Q: X= 4+ 2+X

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Q: Find the arc length of the curve y = (e" + e¯") from x = 0 to x = 2. 2 Length: ►

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Q: What is the differential equation of the given 2 parameter family of solutions? y = C₁e* + C₂e³x…

A: To find the differential equation of the given two parameters family of solution, we have to take…