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Q: dy Find using implicit differentiation, for the equation + 10 is_ dx

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Q: Find the radius of convergence of in=0 negative infinity -1 infinity

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Q: 2.- a) find eigenvalue/eigenvalues and the corresponding eigenvector/eigenvectors of A. A = -1 b) co...

A: Since there are multiple questions the first question is answered as per our guidelines.Kindly repos...

Q: Given yz + x? z3 = e"y². Use implicit dz differentiation to find

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Q: 6. Checked state can be used by: Combo Box Radio button and Check Box Check Box Radio Button

A: This is the question having straight forward answer. 

Q: Find the critical number and relative extreme if they exist.

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Q: ) .3 Find the derivative of h(x) = cos (2x – 5 %3D

A: Given,            hx=cos42x3-5To find : The derivative of the given function.

Q: Let A = and B = be vectors in R2. Find the following: (a) A - B (b) 2B + 3A (c) unit vector in ...

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Q: Using the diagram below, write AG using at least 2 other vectors. Use only AB, AD, and AE in your an...

A: From the given diagram we can see that- AD || BC and AE || CG    

Q: 3. Solve for x of the equation 2 In(x+1) – In(5x+1) + In(x-1) = In(2).

A: "Since you have asked multiple questions, we will solve the first question for you. If you want any ...

Q: If f(x) = 5 cot + 4, then find the value of f'(-9) is %3D -5 82 -4 82 V 82 00 V 82

A: Solve for the derivative

Q: 1. Find the directional derivative of f(x,y) = In(a2 + y²) at the point P(2,1) in the direction of t...

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Q: 4. Compute the area of the surface formed when f(z) = 2+cosh(z) between 0 and 1 is rotated around th...

A: 4.0≤x≤1y=2+cosh(x)dydx=sinh(x)A=∫ 2πy dsA=∫012π[2+cosh(x)] 1+sin2h(x) dxA=∫012π[2+cosh(x)] cosh(x) d...

Q: (a) Show that the following identity is true 1 1 2n +1 n2 (n+ 1)² n²(n + 1)² (b) Use the identity in...

A: Sum

Q: x2+4 lim x→+00 2r-

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Q: Find the area of the triangle with vertices P(1,5, –6), Q(0, 0,0) and R(2,4,1). NOTE: Enter the exac...

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Q: The demand function for a good isp = 42 – 0.01q. Round your numeric answers to one decimal place. a)...

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Q: For the demand function q =D(x) = 100 find the following a) The elasticity b) The elasticity at x 7,...

A: Given

Q: Determine whether the series is convergent orrdivergent. the exact test thhat you Use. 土2

A: ∑n=1∞ -1n1+2nn  

Q: |x| lim e* +- + x2 X→0-

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Q: Evaluate the integral. [HINT: Use a shortcut.] | 12(2x + 1)5 dx

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Q: /+v= y, y(0) = 2

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Q: 2 P2(x) = 7 .2 =17 9. - - 2 2 9. P3(x) =|7 – 2 - 2 7 7 2 9. + 24 9. PA(x) = - - | 2 [72] Pn(x) = 7(-...

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Q: A spherical snowball is melting so that its diameter is decreasing at rate of 0.2 cm/min. At what is...

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Q: Let A = and B = be vectors in R3. Find the unit vector in the direction of the vector A - 2B.

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Q: Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an answ...

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Q: From the graph, determine the x- and y-intercepts and the vertical and horizontal asymptotes. (If an...

A: The x-intercept is where a graph crosses the x-axis and the y-intercept is where a graph crosses the...

Q: Suppose the graph of f(x) is given. Describe verbally how the graphs of the following functions can ...

A: a. fx+4vertical shift up 4 units. b. fx-4Horizontal shift right 4 units.c. 4fx vertical stretch d. f...

Q: Find the vector component of v = (4, —1, 7) along b = (4, 4, —7) and the vector component of v ortho...

A: Given,           The two vectors are v=4,-1,7 and b=4, 4,-7.To find : 1 The vector component of v al...

Q: 4 1 1 4 3. Prove that [(s²t ) ds dt = [ [(s?t) dt ds. 20 0 2

A: Firstly , we can prove left hand side and after that we can prove right hand side. ∫xn dx =xn+1n+1+...

Q: Find the Taylor polynomials of orders n = 0, 1,2, 3, and 4 about x = x0 and then find the nth Taylor...

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Q: 1. メ-\ メ+!

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Q: Which of the following is the general solution to the differential equation dx - (x – Jx² + y²)dy = ...

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Q: 1- yy' = 2y– x;

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Q: A potato is launched vertically upward with an initial velocity of 147 ft/s from a potato gun at the...

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Q: Use the quotient rule to find the derivative, h' (x), of the following function. 3x h(x) 8- 5x Provi...

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Q: A particle travels along a horizontal line according to the function s(t) = -3t° +t² + 3t – 2 where ...

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Q: Differential equations ydx + (2x – ye")dy = 0 has an integrating factor µ(x, y) = x"y" for constants...

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Q: Evaluate p dA, where Dis the shaded part inside the semicircle of radius 2 in the figure. y = 4- (Us...

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Q: Consider the following integral. | 4x7 V4 + 15 dx With the right substitution, the integral becomes ...

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Q: Graph f (x) = (1/2)* and g (x) =(1/2) ~*+3. Plot three points and also the asymptote.

A: The answer is in step 2.

Q: (플, ) (-1) Which point is the inflection point of the function f(x)? A)(-n,0) B) (0,0) C) (T, 0) DI-...

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Q: Sole (y-+y Jde - xdy -0 When x0, y=

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Q: 2. Solve the following differential equations. (a) y' = x2 – xy+ 1. (Hint: Consider the subsitution ...

A: Both the parts have been solved in detail. 

Q: Evaluate each expression. 7. log, 7° 8. log, 0.001 9. log, 4096

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Q: Find the Wronskian of the functions f(t) = 5e' sin(t) and g(t) = e' cos(t). %3D NOTE: Your answer mu...

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Q: Find the extreme values of the function f(x) = x3 + 9x² + 5 on the interval x E [-1,3]

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Q: If f(x) = 5 cot 'z + 10, then find the value of f'(-8) is, -8 65 65 -10 V65 65 O o

A: Given the function

Q: Let f be a function defined by z = f(x, y) = 3xy? – 4y. Find the actual change in z when x changes f...

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Q: Given the following information, determine the value of x:  u = [2x, 1], v = [x, 2x] and ∣u+v∣ = 6

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