1. The value of k so that (y +kxy -2x)dx +(3xy2 +20x°y )dy = 0is an exact equation is: С. -5 d. 15 а. 10 b. 5

Q: 6. Obtain the differential equation of the family of circle with center on the x-axis ? c. yy" +(y')...

A: we want to find the family of differential equation of circle  with center on x axis 

Q: Find the equation of the line satisfying f(0) - 7 and f(7) 2. %3D f(x) = -

A: As we know that, The expression for the equation of the line (point-slope form); y-y1=mx-x1 Where; m...

Q: A spherical balloon is inflated and its volume increases at a rate of 30 in3 /min. (a). What is the ...

A: Given that, The spherical balloon is inflated and its rate of change of volume is; dVdt=30 (in3min) ...

Q: Vw² – 2w +3 lim W +5 W→-00

A: limw→-∞w2-2w+3w+5

Q: Let f(x) = (x + 7)² Find a domain on which f is one-to-one and non-decreasing. Find the inverse of f...

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Q: 5. y" + y = sec x tan x

A: This is a question of differential equation.  Total solution of the DE is combined of complimentary ...

Q: Given the vectors ā = (2, – 1, 3), b = PQ where P(1, 1, 1) and Q(5, 1, – 1) and Ĉ = i + j + 3k. Find...

A: It is given that, a→=2,-1,3, b→=PQ→ where P(1,1,1) and Q(5,1,-1) and  c→= i→+ j→+3 k→ a) 7b→-3c→b) T...

Q: Let f(x) = V90 Then the domain of fogis equal to a, b] for - x and g(x) = x² – x. a = and b =

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Q: 17. Let U =1, 2, 3, 4, 5, 6, 7, 8, 9, 10 ) T=12,3,9} V = (8, 9, 10} Find (T'uV

A: As per our guideline we are allowed to answer only one question. Kindly repost the other question as...

Q: The graph of the acceleration a(t) of a car measured in ft/s2 is shown. Use Simpson's Rule with n- 6...

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Q: A house was valued at $120,000 in the year 1993. The value appreciated to $155,000 by the year 2007....

A: Given query is to find the growth rate and the value of the house in 2012.

Q: 14. For the function f (x) = 10 - 5x find the average rate of change from x = a to x = a + h %3D

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Q: AL THEOREM OF CALCULUS I ,b] then the function g(x) = f(x)dx 1, differentiable on (a,b) and g'(x) = ...

A: We have to find the following conditions according to the given information

Q: dx V9-x2

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Q: Solve the given initial value problem. 6x³y + y? 2x6 + 3xy' dy y(2) = - 3 dx O xy - y = 261 x®y² – x...

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Q: 3 n2 + 9n + 18 n=1

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Q: 6. Let T: R3 → R³ be defined by T((a, b, c)) = (a, a – b,b + c). Determine whether T is a linear tra...

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Q: х3+ 4x2-9х-36 3. У 3 4x2+28х+48

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Q: 8. What is the particular solution of 2xyy' =1+y², when x = 2, y = 3 ? а. у%3D5x -1 C. y =V5x + 2 b....

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Q: dt (b) z = x?y where x = st and y = t2 – s2 dz 2st?(t? – s?)? – 4s³t²(t? – s²) as answer: az 2s²t(t?...

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Q: 1 1 c) z = /xy – 3(x + y) answer: -3 ; %3D 2 V x ôy 2Vy d) z= xy sin y = y sin y ; x sin y + xy cosy...

A: Note: Since you have posted multip;e questions we will solve the first question for you. If you want...

Q: Activity 2: Determine the equations of the normal at each of the points indicated 1. f(x) = x² + 3x ...

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Q: Evaluate. Show all your work. 1 .2 1-x

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Q: Determine whether the following function is continuous, differentiable, both continuous and differen...

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Q: What are the roots of the auxiliary equation corresponding to the DE y(4)+3y"+6y"+5y'+3y = 0? %3! Wh...

A: This is problem related to differential equation. Here first we will replace the differential operat...

Q: sinho 10. S dw 1+coshw

A: solve using substituion

Q: An initial investment amount P, an annual interest rate r, and a time t are given. Find the future v...

A: Here, given that  PV=$1500r=3.25%=0.0325t=5 yr Future value =PV1+rnnt

Q: A graphing calculator is recommended. (a) If G(x) = 5x2 - x3, find G'(a) and use it to find equation...

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Q: a Problems 25–32, use L'Hôpital's rule to find the limit. Note nat in these problems, neither algebr...

A: We will use the l'Hospital's rule to find the limit.

Q: Given f(x)= x - x^2 and g(x)= 4x-2 Simplify f(g(x))

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Q: Solve. (Simplify your answer. Type an exact answer, using radicais as needed. Express complex number...

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Q: Find the line of intersection of the planes 2x – y + z = 2 and x + 2y – 4z = 1

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Q: 13. 13. 5 68.5 -5 5 T68.5 -5 18 5 T68.5 -5 18 35 ー35 So, 6.85 : 5 = 13.7

A: Given :-       To find:- 6.85÷0.5 

Q: What you see below is an image of a solid with an equilateral base. The distance of a side from the ...

A: The formula used: -  1.perimeter of polygon=number of sides ×length of side 2.Area of polygon=12× Ap...

Q: A rectangular flower garden with an area of 42 m2 is surrounded by a grass border 1 m wide on two si...

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Q: 14. What is the particular solution of the linear differential equation y' = x° - 2xy; when x = 1, y...

A: Note : As per our guidelines we are supposed to answer only one question if there are multiple quest...

Q: Evaluate the iterated integral. SL" z dzdydz O 1 O 1/10 O 10

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Q: (1+ 3x X 1

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Q: Given the functions below, find A. (A + B + C +D +E+ F) B. (P + Q +R + M + N) (x² +1)(x+1) y = (2x +...

A: Since you have posted multiple questions i can do first question as per our company guidelines pleas...

Q: For the function f (x) = 1 - 1                                       (x +2)2 ,  find the following ...

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Q: Assume the following : lim f (x) =4 lim g(x) = 10 lim h(x) = -3 %3D SHOW YOUR SOLUTION 1.lim (7 · f ...

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Q: A company's revenue from car sales, C (in thousands of dollars), is a function of advertising expend...

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Q: The profit of a company, in dollars, is the difference between the company's revenue and cost. The c...

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Q: INTEGRATE THE FOLLOWING FUNCTIC PROBLEM 1: int. sin^3 y cos y dy

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Q: k2 Determine the interval and radius of convergence: > 034(*ー1)* k=0

A: To determine the interval and radius of convergy.

Q: Evaluate. Show all your worH In x -dp- 1 5

A: Here, to evalaute the defiite integral: I=∫5∞ln xx2dx...(1)

Q: xplain what it means to say thất im _ f(x) 5 and lim f(x) x- 2 x-2* O As x approaches 2 from the rig...

A: Left hand limit of f(x) at x= 2 is 5;  Right hand limit of the f(x) at x= 2 is 4  What does means of...

Q: əx = 7 , at ay ay = -2, ax Əz -4, = 5, as az at 9 ду as (c) ax az = 26 at az -38 , answer: as ду ду ...

A: We are going to solve using chain rule

Q: Consider the quadratic function below and (a) find the vertex; (b) find the axis of symmetry; (c) de...

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Q: 3 In(x3 + 7) dx, 4 n = 10 (a) the Trapezoidal Rule (b) the Midpoint Rule (c) Simpson's Rule

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