Find the tangent plane to the equation z = 2 = 3x² - y²-3y at the point (4, -3, 48)

Q: Calculate the iterated integral. •3 π/2 3./0 (y + y² cos(x)) dx dy

A: Calculate the iterated integral

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A: Given the sides of the triangle  a = 225 ft  b = 900 ft  c = 850 ft s = a + b + c2A = s( s - a )( s…

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Q: Find f 1+x² (1-x²)√1+x4 dx

A: ∫1+x21-x21+x4dx Note:- As per the company's guidelines, we are supposed to solve the first question…

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Q: sider the two vectors in R3. e c is an unknown. For what value of care and collinear? - (-10, -2,-6)…

A: a) c = 5 b) c= -170

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Q: Consider the following. -10 foci Find the foci and asymptotes. -5 Find an equation for the…

A: Let's find.

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Q: Evaluate the indefinite integral below. The p and k are lower case. [(p+k co (p + kx) dx

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Q: MATH PROBABILITY AND STATISTICS, PLEASE ANSWER JUST IN 10 MINUTES, NOT ANYMORE Find the sample…

A: Given data is : 6, 7, 2. We need to find the sample variance of the above sample.

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A: Draw a schematic diagram of triangle with given data.

Q: Convert the point (x, y, z) = (2, 4, − 4) to cylindrical coordinates. Give answers either as…

A: To convert the point x, y, z=2, 4, -4 to cylindrical coordinates.

Q: Consider the integral [(In(a))¹ da.

A: ∫lnx4dx

Q: (b) 3x + 2y + 2z = 1

A:

Q: A rational function is given. r(x) = 4x + 1 x − 6 (a) Complete each table for the function.…

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

Q: Find the area enclosed by the y-axis and the curve. x=2(t-²²), y=2(1-et) Area =

A: Given: x=2t-t2  ,  y=21-e-t To find: We have to find the area enclosed by the y-axis and the curve.…

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Q: In this problem we will find the exact area bounded between the graphs of y = cos(x) and y = ex for…

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Q: Part 1: Partial Fractions Use the partial fractions method to express the function as a power series…

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Q: Problem Number 5 Determine the horizontal asymptote of f(x) = 3x-4 X

A: “Since you have posted multiple questions, we will provide the solution only to the first question…

Q: Find the root if it is a real number. ((256)/(4))

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Q: a(x,y) a(u,v) a. Solve the system u = 2x+3y, v=x+ 5y for x and y in terms of u and v. Then find the…

A: To solve the system u=2x+3y, v=x+5y for x and y in terms of  u and v. Then to find the value of the…

Q: Write the sum using sigma notation: -88-8 + 8 - ... Σ n=0

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Q: Find the exact value of m so that m = m [T ex dx = 11.

A: I am attaching an image so that you understand each and every step.

Q: Evaluate the definite integral exactly using the Fundamental Theorem. 4 for cez (e² + 3)dz

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Q: Use the divergence theorem to evaluate the surface integral S is the solid bounded by the paraboloid…

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Q: Let S(x) = (3x - 3-x)/2 1/2 and C(x) = (3x + 3-x)/2. Compute [C(x)]² - [S(x)]². [C(x)]² - [S(x)]² =…

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Q: Find dy dx dy dx π/3 y = || S I cos (1³) dt ³√x

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Q: 1. If sin >0 and tan > 0, which of the following is a correct interval of ? 180° <<270° 0° << 90°…

A: sin∅&gt;0 and tan∅&gt;0Amswer : 0°&lt;∅&lt;90°

Q: Evaluate Mex (x + y + z) dV, where E is the solid in the first octant that lies under the paraboloid…

A: ∬∫E(x+y+z)dV where E is the  forst octant that lies under the paraboloid z=16-x2-y2

Q: The graph of g consists of two straight lines and a semicircle as shown in the figure. 20 10 A 0 20…

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Q: Evaluate the indefinite integral below. (106 (10ex - e4) dx

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Q: Define F(s) = ₁₂² For this function on [-2,2], find ³1-x²dx, for s = [-2,2]. • critical points local…

A: F(s)=∫-2s1-x23dx,           for s∈[-2,2] for this function on [-2,2]

Q: Let G be a function whose derivative is shown below. Assume the domains of G and G'are 8 4 0 z # X

A: at x = 4 , G'(x) = 0 hence function has minima at x = 4 ∫04 G'x=G4-G0…

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A: Given that: Z = 4 -  x2 and plane  y = 5.   We find volume of the solid in the first octant bounded…

Q: Homework 2.7: Evaluate the complex integral of f(z) = z² along the circle |z| = R, starting and…

A: The given complex function is:f(z)=z-2

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Q: Find a polynomial function that has the given zeros. (There are many correct answers.) 0, 1, 6 f(x)…

A: To find a polynomial function that has the given zeros. 0, 1, 6

Q: 45° = |2|=24 Find the component form of the vector shown above. Q

A: Given that,     The vector Q→ with the magnitude, Q→ = 24.

Q: 1. On the interval (0,1), complete the inequality with the following functions, f(x) = x, g(x) = x²,…

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

Q: A company has 1800 dollars to invest, which must be divided between capital expenditures and labor.…

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Q: 1. Show that In(x² +1) x² +1 - dx = πln 2.

A: We need to prove the given integral

Q: (a) A(s) = 5s-44 (s-6)²(s+1) -3s

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Q: GRAPH and find the length of the curve   A. (x^5)/6 + 1/(10x^3) 1<=x<=2   B. y^2=4x 0<=y<=2

A: Since you have posted multiple questions, as per guidelines, we are supposed to answer only first…

Q: Q3 If any, G find the inflection point(s) of the function ƒ (2) = x³ (1 – ² ) ². 2

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Q: Given z = x³ - y², with x = ue¹+1, y = ln u − 1, and u = sin(s + 7), v = 3s — t. a) b) Draw a tree…

A: Given that , z=x3-y2 , x=uev+1 , y=lnu-1 and u=sins+π2 , v=3s-t

Q: Use the Alternating Series Estimation Theorem or Taylor's Inequality to estimate the range of values…

A: Given sin(x)=x-x36

Q: Find the points on the ellipse 3x2 + y2 = 3 that are farthest away from the point (-1,0).

A: