)dx = (x + Jxy)dy O Not homogeneous O Homogeneous

Q: Find the values of b such that the function f(x)=x²+ bx + 59 has the given minimum value 10. +16 +20...

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Q: Suppose that f is differentiable on R and f'(x) = e*-4x+3 – 1 for all x E R. Determine all intervals...

A: Find your answer below 

Q: Use Euler's method to calculate the first three approximations to the given initial value problem fo...

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Q: Given the lim f(x) = 7 and lim g(x) = 11, what is lim[Ự(*)•g(x}}? %3D г. 28 b. 44 C. 77 If lim f(x) ...

A: we know that limit get multiplied when we apply to limit to multiplication of two functions , theref...

Q: Determine if the given function y = f(x) is a solution of the accompanying differential equation. y'...

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Q: Solve the differential equation. (Hine: Property of log: ea In t = eln t“ = tª) xy '+ 4y = sOX, x > ...

A: See the answer below

Q: 80 and A is in quadrant 4. 89 Find cos(2A), if sin(A)

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Q: Activity 3 Find Your Rate at this Moment Directions: Differentiate the following functions and deter...

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Q: Compare the graph of n = - 1 with n(x)=x². -J(9 +지은- 1 1 shifts left 36 units, shifts upward 1 units...

A: topic - transformation of a function

Q: 2. (1-y) y' = x2

A: The given DE is: (1-y)y'=x2...(1)

Q: Problem Set A (1) A dietitian wishes to plan a meal around three foods. The percentages of the daily...

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Q: Solve the differential equation. dy = Sy2 dx Sin x+C O y = - 8ln x + C O =- Sln x +C O y = 24ln x + ...

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Q: 1. f(x) = e3x B. Find the derivative of the following using chain rule 1. f(x) = (x3-6x + 1)9 %3D 2 ...

A: i solved part second as per student

Q: Water at the rate of 10 cm3/ min is pouring into the leaky cistern whose shape is a cone 16 cm. deep...

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Q: (3) Let a, b, c € R and a # 0. Find the radius and interval of convergence of the following power se...

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Q: Evaluate the integral tan (x) dx. tan (x) dx = %3D

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Q: B. Test whether the given function is continuous or not, and classify the discontinuity whether remo...

A: Given problem:-

Q: Find dy/dx implicitly and find the largest interval of the form -a < y < a or 0 < y < a such that y ...

A: follow the procedure given below.

Q: Find the magnitude and the direction of the igiiven.vector lu=(3,-4)

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Q: Find the angle O between the two vectors given below. 0%3(5,2)cnd v= (-6,-1). Ako drawa figure.

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Q: Directions: Study the guided solution to the given function. Fill in the blanks with the appropriate...

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Q: The requved values tor a qud b tor Ple funston to be contimues at x=

A: Use simple continuity theorem.

Q: Find the component form of v given its magnitude and the angle it makes with the positive x-axis. ||...

A: Consider a vector v having its magnitude ||v|| and angle θ which makes from the positive x-axis, the...

Q: Fexiy)= 2+3トなら-3A Ris Rectanghe ( (ろy)と1メ,-

A: This is a problem of maxima and minima. By using first derivative test we will find out critical poi...

Q: 7. Evaluate the following integral by changing the order of integration in an appropriate way: 12xze...

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Q: 4. Lim log1/2 x x-2 sin 2x 5. Lim

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Q: Find the critical numbers of the function. f(x) = x5 - 5x4 Step 1 To find the critical numbers of f,...

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Q: Find dy/dx implicitly and find the largest interval of the form -a <y <a or 0 < y <a such that y is ...

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Q: Find the zeroes of the functions algebraically. x2- 14x+ 48 f(x)= 7x x = 8, x = 6, x= x= x =-8, x = ...

A: Explanation of the answer is as follows

Q: F. Find the derivative of each quotient 4x+9 b. h(x) = 3r2-1 3x a. h(x): c. h(x) = - %3D 1-10 2x³-4x...

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Q: Find (f - g)(x). f(x) = 2x – 2, g(x)= 4-x x-6 O 3x-6 2x -6 2x+6

A: Given problem:- Find (f- g)(x).   f(x) = 2x - 2, g(x) = 4 - x

Q: - y² dy 3y 50.

A: Simplify the expression and integrate it.

Q: Fexsys = -xy + %3D 2 what are Hhe two criticas ints?

A:

Q: Differentiate the following 1. g(x) = x³ cosx 2. g(x) = 4 sec x + tan x 6. h(x) = 5x sin-x 7. h(x) =...

A: 1) g(x)=x3cosxDifferentiateg'(x)=3x2cosx-x3sinx2) g(x)=4secx+tanxDifferentiateg'(x)=4secx.tanx+sec2x...

Q: Is there a difference between substituting values of a variable and the limit of a function? From wh...

A: In this question we have to give differences between limit and value putting.

Q: Find gof. f(x) =x², g(x)=x- 4 († +zx) O

A: Find gof

Q: 4. Find the general solution of the differential equation using the method of undetermined coefficie...

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Q: Consider the following. y = 9 cos“(x), y= -9 cos“(x), -x/2 s x sa/2; about x = R (a) Set up an integ...

A: Given that,  

Q: Problem 2: Show that (n + 23)³ is O(n³)

A: f(n)∈O(g(n)) iff ∃ scalars C,n0 such that f(n)≤Cg(n) ∀n≥n0

Q: The resulting integral of -sin0 de has the form sin 2 2 cos +C. What should be the value of 0 to mak...

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Q: Let fun chan defined by g(2) = V Z+8' –-8, ts devivalie z+h+8- Vz+ 8 is equal to the expressian. A) ...

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Q: The height of a ball t seconds after it is thrown upward from a height of 7 feet and with an initial...

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Q: An airplane is flying in still air with an airspeed of 375 miles per hour. The plane is climbing at ...

A: Solved below

Q: 3. r3D 0, 6ө > 0 34. r = 0², –2 < 0 < 2T 35. r 3 3 соs 30 36. r = -sin 50 37. r3 2 сos 40 38. r = 2 ...

A: Given

Q: Select the graph of the quadratic function f(x)=x²+2x+2. Identify the axis of symmetry.

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Q: Find the limsup and liminf of the following sequence: sin (2) а) аn = n

A: Here we have to find the limsup and liminf of the given sequence an .

Q: Obtain 6. S y' = e+ %3D

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Q: x e* dx (1+х)2

A: Explanation of the answer is as follows

Q: Evaluate the integral. (Hint: u-sub) O -4e** + C O ex + C

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Q: 13–16 Show that the equation represents a sphere, and find its center and radius. 13. х2 + у? + z? —...

A: