U sin ing the derivative find the test points. x=-2,-1 Ox=2,-1 Ox=-2,1 x=2.1

Q: Given the integral below: I ffse f(x, y) dy dx (a) Carefully sketch and label the region that gives…

A: Let's sketch the given double integral and change the order of integration.

Q: Use the First Derivative Test to find the location of all local extrem below. Enter an exact answer.…

A: Given

Q: Use linear approximation, i.e. the tangent line, to approximate 1.86 as follows: Let f(x) =X f(x) at…

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Q: Find the area under y = x(e)^(-x)^(2) for x > 1

A: The given curve y=xe-x2 We have to find the area under the curve for x>1.

Q: 16 Let Find A-1, if it exists. a) O b) O A|- A10 ú A/w Alu o N/W N/W - alt AI AI A Alo Alto ú -4 -|-…

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Q: Why does it make sense to model the monthly temperature with a sine or cosine function? Part 2.…

A: We need to model trigo. function.

Q: Graph the line with the given point and slope.

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Q: Show that limx-->0+ xlna/1+lnx = a, using L'Hopital's Rule. Show that limx-->∞ xlna/1+lnx = a,…

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Q: Find the average temperature in the box D = {(x,y,z): 0≤x≤ In 4, 0≤ y ≤ In 8, 0≤z≤ In 16) with a…

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Q: S x² √16x² dx

A: The objective of the question is evaluate the indefinite integral.

Q: Consider the region E which is enclosed by the plane z = 45 and z = 5x² + 5y². Compute II. LAV zdv E

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Q: Give the exact value of each expression in simplest radical form. 33.) a. cos 45° 34.) a. sin(-45°)…

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

Q: If t = 3' a) sin t 1. 39463NT 2.0 3. 5. 7. 6. None of these 1 √2 005 (part 2 of 3) 1 1.1 2. 2936 co…

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Q: raph of the function f(x) = x³ + 2x - 1. So, the point (2,1) lies i (f¹)'(2). (Here f-1 denotes the…

A: Given query is to find indicated function.

Q: 3 Directional derivatives Question 1: What are the directional derivatives of the following…

A: 3. Directional Derivatives: Question 1. fx, y=1x-2y along the direction u=1, -1 at the point 1, 2.…

Q: n^3/n^3

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Q: Use the Comparison Test to determine whether the infinite series is convergent. ∞     k = 3 sin8(k)…

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Q: 4. 3 2 (D+D²_5D+3) y = 0

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Q: a. Solve the logarithmic equations. 1. log, 64 m 2. loggn=3 3. log, 4096 =3 4. 10g329=3 b. Study the…

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Q: f(b)-f(a) Find the value or values of c that satisfy the equation b-a f(x) = 3x³ - 3x², [-1,2] =…

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Q: Let [145 Find f(x) dx = 7, 13 + [1² f(x) dx = [ 11.5 and 11.5 $ 1.1³ 13 11.5 [ 7f(x) 6 dx = = f(x)…

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Q: The total cost (in hundreds of dollars) of producing x calculators per day is given by the equation.…

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Q: Use linear approximation, i.e. the tangent line, to approximate √64.4 as follows: Let f(x)=√x. Find…

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Q: 18. Using Lagrange multipliers, find the point on the plane x + 2y + 3z = 4 closest to the point…

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Q: Given u(x, t) = t³e, compute: Uxx

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Q: 35-40 Find the horizontal and vertical asymptotes of each curve. You may want to use a graphing…

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Q: 45. If F(x) = f(g(x)), where ƒ(−2) = 8, ƒ'(−2) = 4, ƒ'(5) = 3, g(5) = −2, and g′(5) = 6, find F'(5).

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Q: Let Give the 2,1 entry of 4-¹. a) 0-¹ b) 0¹/2 c) 03/2 d) 0-5 e) 0-2 f) O None of the above. 02 2 A-1…

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Q: A firm manufactures a commodity at two different factories, Factory X and Factory Y. The total cost…

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Q: 6. Convert: a) Coordinates of point D(-1,-5) to polar coordinates, r> 0 and 0 <0<2n.

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Q: 6. (a) Let f(x) g(x) = k 4- x Find lim f(x), lim f(x), and lim f(x). Find k so that f(x) is…

A: (a).The given function is:f(x)=x2+2               x&lt;1kx=14-xx&gt;1

Q: 2 3 S (x+1)² 1 2 x +2x +x+2 -dx ₁

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Q: Let F(x, y, z) = x³i+y³j+z³k. Compute the following: (i) V.F (ii) V X F

A: i) Given:       Fx,y,z=x3i+y3j+z3k then         ∇·F=∂∂xx3+∂∂yy3+∂∂zz3                 =3x2+3y2+3z2…

Q: Determine whether the integral is convergent or divergent. 100 (x - 6)³ 8 S² O convergent O…

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Q: a. Find a curve with a positive derivative through the point (1,1) whose length integral is given…

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Q: its radical so how do u do 409 racial 3

A: To explain how the radical is simplified.

Q: (b) Hence find the value of S² S ²² 2y(1 + y²x) e¹²x dx dy.

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Q: 7 п 6 S y 4 3 2 4 ·10 Average rate of change = Number 6 Estimate the average rate of change from z =…

A: To find the average rate of change of function

Q: 7. Determine the standard equation of the parabola in the figure given only its focus and vertex.…

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Q: 23. y = 2 x² + 1 x² - 1 3

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Q: b) Ln=1 Inn n2

A: Given query is to find series converges or diverges.

Q: Suppose that f(x, y, z) = x²yz - xyz³ is a function of three variables. 1. Find the gradient of f(x,…

A: The given function is; f(x,y,z)=x2yz-xyz3.

Q: d (a) / ₁ (t²-1)²dt. -10 -10 (b)/(t²-1)²dt. (c) d dx 32² -10 3x² (t²-1)² dt. d (d) — (t²-1)²dt. dx…

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Q: 2 + 3. The velocity of a particle moving in a straight line is given by v(t) = t² + (a) Find an…

A: The velocity of a particle moving along a straight line is given by vt=t2+3 We have to find the…

Q: 7. (a) Let f(x) = 5x5 + x¹ − 2x³ – 1. Explain why f is continuous on (-∞, ∞). (b) Show that f(x) has…

A: We know a polynomial function is continuous in the whole real number plane. If f(x) be a continuous…

Q: 2. 3 (D-9)³y=0

A: Let's solve given diffential equation.

Q: Find the slope of the following lines.

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Q: The following function is continuous at x = 0. f(x) = ex, { 9x² + x + 1, x < 0 x≥0

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Q: Consider the function f(x)= 2x-3 x-1 1. f(x) has a horizontal asymptote at y = 2. f(x) has a…

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Q: Consider the function f(x) below. At what value(s) of x are the inflection points? Enter answer…

A: for inflrction points  put   f''(x)=0d dx(xn)=nxn-1d dx(constant)=0