COs x sin z Determine ôy/dz -sinx/sinz sinx/sinz -sinz/sinx sinz/sinx None of the choices నా

Q: 1. Using the vectors u = [4, -3] 3 = [7, 1] and w = [-5, 3], evaluate the following, if possible. If…

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Q: Supply the missing integrand and the limits of integration (dx dy _dy ху y e'dy -1 ® /' (e -1)dy -1…

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Q: In the appropriate interval of convergence, we know that x then we can deduce, by applying the…

A: To determine whether the  given statement is True or False.In the appropriate interval of…

Q: Find dy/dx by implicit differentiation. Væy = 6+ x?y dy/dx

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Q: The graph below is the function f(x) 구 -8 -7 -6 -5 -4 -3 \2 -1 -2 -3 -4 -7 of lim f(x) = x → - X…

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Q: Find the constant a such that the function Is continuous on the entire real Iine. 7sin x If x <0…

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Q: An earthquake was recorded with an intensity which was 630,957 times more powerful than a reference…

A: Given that I=630957×I0

Q: -2ln(cosx) 03. lim, »0 x2

A: The given limit is: limx→0-2lncosxx2   As we know that; The Chain rule: fgx'=f'gx·g'x

Q: 10) y = e³ In x A) dy In x 3x3 In x dx dy - 4x² , dy D) dx 3x3 x³ dx +1

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Q: give

A: We will solve the integration.

Q: 9. A rectangle is formed in R² by the vectors OA = (1, 3) and OB = (6, –1). a) Calculate the…

A: a)Given OA=i+3jOB=6i-jSince OC is diagonal of parallelgram ABCDOC=OA+OBOC=i+3j+6i-jOC=7i+2j

Q: find area between line y=-2+x and y=x^(1/2) and x-axis 26/4 O 23/6 O 36/2 O

A: Question- Find the area between the line y= -2+x and y=√x  and x axis.

Q: When 20 N of force is applied to a spring of natural length 2 m, the resulting compression is 0.5 m.…

A: Force applied F=20N Natural length=2m COmpression Length=0.5 m Total compression =∆x=l0-l…

Q: Use the alternative form of the dertvative to find the dertvative at x = c (If it exists). (If the…

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Q: Q1/ Solve the given differential equations or initial-value problems 'using Separable" (Answer only…

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Q: Suppose that f(z, y) = z² - zy + y? – 5z + 5y with z? + y? < 25. 25 1. Absolute minimum of f(x, y)…

A: We have to solve the maxima minima problem.

Q: z(0) - 2, y(0) 8.

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Q: For the polynomial, one zero is given. Find all others. P(x) = x3 + 4x2 - 10x + 12; 1+ i О А. 1-і, 6…

A: Topic: Finding roots of a cubic polynomial

Q: 3. If A is a vector representing 50 km/h northeast, what is 3 A ? c. 30 km/h northwest d. 30 km/h…

A: Given problem:- If A is a vector representing 50 km/h northeast, what is (3/5)A ? a. 30 km/h…

Q: dy cot X Cos X Sin x +y=

A: The given DE is: cot x dydx+y=cos3xsin x⇒dydx+ycot x=cos3xsin x1cot x⇒dydx+(tan x) y=cot…

Q: Find the most general antiderivative. 4) (15+ e2t) dt. 16 e2t A) B)+ 202t + C e3t +C +C 27 e2t +C

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Q: 1. Find the area bounded by: y=x³+1 and y=x+1.

A: topic - Area bounded by curves

Q: 5) A cup of coffee cools at rate proportional to the difference between the constant room…

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Q: 8 Given a function: f(x) = (х-7)(х-1) Write down the definition that lim f (x) = L 8 OProve that lim…

A: Substitute x= 5 in the function and find the limit

Q: ) Find extreme values of f(x, y, z) = x^2 + y^2 + z^2 subjected to the constraint x + 2y + 2z = 12…

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Q: (4x – 5y) lim (x,y)→(1,1) 5x² – 7y O -1/2 O 1/2 Limit DNE

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Q: Evaluate the following indefinite integral. dt t In(t) Note: Don't forget your C! And be sure to use…

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Q: 9) Sand falls from an overhead bin, accumulating in a conical pile with a radius that is always…

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Q: Consider a triangle ABC like the one below. Suppose that A=105°, C=34°, and b=29. (The figure is not…

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Q: (28) A particle is moving in a straight horizontal line. Its position, s(t), velocity, v(t) and ac-…

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Q: (d) = 9- X-y = 2 at p(3,1), find x-2y dy 19we 1997109 oilt 00d:O dx dy (a) 으= 0 (b) = -1 (c) = 1 (=-…

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Q: [[(u + 1)e-(•1)dA; R= {(r,y) :0 s r s1, –1 <y s1} R

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Q: how is C equal to the difference of vectors A and B?

A: Dear user, Please read the question. We need to express Vector A in terms of sum of  B and C.

Q: 1 dA; R = {(x, y) : r² + y² s 4, r 2 0, y 2 0}. /16- r2 – y?

A: Using polar coordinates, integration is evaluated.

Q: Verify if y = 2eX + x - 1 solves v' = x -v |

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Q: 8 Given a function: f(x) (х-7)(х-1) Write down the definition that lim f (x) = L X→a = -1| 8 Prove…

A: We have to prove the given condition

Q: 1-Find the area of the region R under y=x? + 3x +2 Between x=-1 and x=2 2-the region bounded by y=.…

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Q: 29. Look for the volume of the solid produced by rotating the region enclosed by the graph f(x) = 2…

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Q: Given that sin a = and cos b = -, and a and b are in the interval , ), find sin (a + b) and cos (a -…

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Q: the product z1 z2 in polar form? Z1 = 3 cis z2 = 4 cis - cis (금) cis () 7x 2 cis ()

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Q: A power representation of the function f(x) = for-1 < x < 1 is %3D 1-x Select one: 9n 9n 9n n=0 O…

A: This question can be solved using the concept of power representation of given function.

Q: Sketch the graph of g(x) = 2Vx + Vx. Support your graph by a table. %3D

A: i am providing the graph and tabular values in step 2

Q: Q3/ The dimensions of a rectangular solid at a given instant (t.) are: L(t.)= 13 cm. W(t)-9 cm.…

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Q: "ou MUST answer question # 1. Then, choose Ol Use mathematical induction to prove the form…

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Q: Find the area of the surface obtained by rotating the curve x = /16 – y², 0 <y<2, about the y- axis.…

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Q: Find the Integral. (Use C for the constant of Integration.) dx

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Q: (29) Evaluate the integral: r/3 csc? xdx. (30) Find the derivative of the integral function: g(x)…

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Q: Distinguish First Derivative of a Parametric Equation from Second Derivative of a Parametric…

A: The given problem is solved below in detail.

Q: What polynomial describes the graph below?

A: To find : The polynomial the given describes?

Q: Find the function value. If the result is irrational, round your Let f(x) = . Find f(2). 3 O A. 5 9…

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