dz and dy dz Suppose z is a function of x and y, and tan Vy² + x2 = 2"e®y_ Solve for

Q: y = xx, x = 4, and y = 0 ... Revolve the area of the shaded region about the line x = 4. Using…

A: We have to apply circular discover method to solve the problem

Q: sec 1.)S Intanßtanß dß

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Q: Find the first derivative with respect to the domain variable for the following functions. 4. f(x) =…

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Q: Condense the expression to the logarithm of a single quantity. (log3(x - + 1) + 2 log3(x – 1)] + 6…

A: Let's find.

Q: Set up and simplify the surface integral ∬S F dS where F(x,y,z) = 2xi + yzj - √y k and S is the part…

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Q: (4, 4) y= 2x-4 (1,-2) Jsing a horizontal element of area, the area of the shaded region is given by…

A: As required, draw a horizontal stripe as shown:

Q: 8. A 25-ft ladder is placed against a building resting on a banana peel. The base of the ladder is…

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Q: (H.W) 1- Solve by choose M this time (2 x y² + 3 x² ) dx + (2 x² y + 4 y³ ) dy = 0 2- Find the…

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Q: V100-1000 lim y-10

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Q: Finding the work done in lifting a leaking bag of cement. A bag of cement originally weighing 143 lb…

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Q: Solve the triangle. Round your answer to the nearest tenth. mZA = 37°, a = 28, с 26 mZB 109°, m2C =…

A: Given query is to solve the triangle.

Q: 9.

A: Given,  y=2x+x4-9x+3

Q: Use the Ratio Test to determine the convergence or divergence of the series. If the Ratio Test is…

A: Ratio Test : Suppose we have a series  ∑ an.Define,   L =limn→∞ an+1an .The,(i)  If L<1 then…

Q: Use L'Hospital to determine the following limit. Use exact values. In r lim glnz

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Q: If f(x) = V15x, find f (x). Find f (3).

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Q: A student is speeding down Route 11 in his fancy red Porsche when his radar system warns him of an…

A: Solution: (a)time since brakes applied (sec)   0     2     4     6      8       10    speed(ft/sec)…

Q: Let h(x) = tan (2x + 6). Then h'(2) is and h'(2) is

A: topic- functions and derivatives

Q: Consider the function f(x) = cos(3 x). (a) Give the derivative of this function. f'(x) = | (b) Find…

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Q: 6) Shared by the circles r = 2 and r = 4 sin 0

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Q: Find the limit. 421 (a) lim 7+ 17 (b) lim x-0 X 3

A: Topic = Limits

Q: 15x + 44 -5x + 84=26 then astructions: Rewrite each Systems of equatons as amatrix, perform cow…

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Q: You and your best friend Janine decide to play a game. You are in a land of make believe where you…

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Q: 15. Evaluate the following double integral. Si (xy* + x)dydx

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Q: Biologists stocked a lake with 280 fish and estimated the carrying capacity (the maximal population…

A: We need to estimate the carrying capacity.

Q: Evaluate the limit using L'Hospital's rule 14* – 3" lim

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Q: FP Use the Fundamental Theorem of Calculus to evaluate: /2 13. xp x zJ55 9/u5

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Q: Find the curvature and the radius of curvature at the stated point. r(t) = 11 cos(t)i+ 9 sin(t)j +…

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Q: 6. Compute and write the slope of the tangent lines to dx y - xy +6 = 0 at the point (5,2). a. b. 2y…

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Q: y = xx, x-4, nd y =0 Revolve the area of the shaded region about the line x-4. Using circular disk…

A: Given  y=x√x=x^(3/2) X=4 and y=0  Now volume of solid evaluated as  V=integration 0 to 4…

Q: 1) Find dy/dr by implicit differentiation. tan n'(xy"+y)= x

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Q: Determine if the given series is absolutely convergent, conditionally convergent, or divergent. Show…

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Q: system which is represented by the given equation below, is able to work effectively ven when the…

A: Given, f(x) = 7x ^ 3 - 0.31x ^ 2 + 8x - cos(x).

Q: Solve for the differential equation: dy/dx - ytan x = cos x

A: To find the solution of the linear differential equation of first order y'+Py=Q, where P and Q are…

Q: .5 2. 2. dx =D dx- (6+z*) o o (x²+9)½ 's (x²+9)½

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Q: ry+2 4- (4x2 - ay) dx dy

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Q: Evaluate the definite integral. Use a graphing utility to verify yourr result. (sin(x) – 3) dx Step…

A: To evaluate the given difinite integral. By using a graphing utility to verify your result.∫0πsinx-3…

Q: Solve the following differential equations: . 2y ++ e* (1+) dx + (x+ 2y)dy = 0.

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Q: 1. Find a power series representation of In(1+x²) and determine the radius of convergence. Eind the…

A: 1.

Q: Solve  x * (dy/dx) – x6ex = 4y

A: on solving this we will get :-

Q: 1. Find the area of the region bounded by the given curves. Show the computed areas of sections…

A: Area bounded by the curves :   If f(x) and g(x) are two continuous function on a,b and f(x)≥g(x) on…

Q: Consider f (x) = 5 cos (2x). Using the given function at xo 0, approximate f (2n/3) by making use of…

A: Let's find.

Q: Use the figure to evaluate the following function, given that h(x) = tan x. (Simplify your answer.…

A: This question can be solved using the concept of trigonometry.

Q: Determine the intervals on which the given function is concave up or concave down and find the…

A: Solve the following

Q: 3. If f(x) = [ 8+f dt ,find f'(1). .

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Q: In which limits below can we use L'Hospital's Rule? x – 2 lim 1→2 In(3 – æ) 1- et lim 2-0 sin(5x)…

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Q: 23. Find two numbers whose sum is 10 and the sum of their squares is a minimum.

A: Let the two numbers be  x and yx+y=10⇒y=10-xx2+y2=SS=x2+10-x2   =x2+x2-20x+100   =2x2-20x+100

Q: The area bounded by y=3Vx and 2y =3x is revolved about the x-axis. Using cylindrical shell method,…

A: Consider

Q: Evaluate the definite integral. Use a graphing utility to verify your result. U-5 np

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Q: Find the sum of the geometric series. 2.5 15 25

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Q: Step 1 To find the definite Integral 9 dx by the limit definition, divide the Interval [2, 7] Into n…

A: For the asked steps we can solve as follows.