5x^4-8x^3+6x-5 find the second derivative and find the concavity upward and downward

Q: Find the solution of the given initial value problem 150y" + 25y" + y′ = 0, y(0) = −14, y′(0) = 10,…

A: We know that the solution to 150y'''+25y''+y'=0, y0=-14, y'0=10, y''0=0 will be…

Q: 128. Express the equation (x + y)² = x − y in polar form.

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Q: Use the method of variation of parameters to determine the general solution of the given…

A: Determine the general solution of differential equation…

Q: The piecewise function f(x) is graphed below. Use geometric formulas to evaluate the following…

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Q: (a) Give the definition of line integral of a vector field over a path. (b) Compute the line…

A: Use line integral concept

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Q: b. On a 6 foot long shelf filled with books, the function B models the distribution of the weight of…

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Q: Consider the first order differential equation a. y(-3) = -3.14. b. y(-0.5) = 1.7. or each of the…

A: Here, the given DE is: y'+tt2-4y=ett-3 Comparing it with y'+P(t)y=Q(t), P(t)=tt2-4 & Q(t)=ett-3

Q: 8. The value of f sinh* x cosh³ x dx

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Q: Tative maxi f(x,y)= 18y² + x²-x²y values and the saddle poin Find the relative maximum. Select the…

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Q: 1₂ = 2√ x²+) ·cos (nwot) at = [² (-²) 2 O 25+ (1+) Cos (2nrrt) dt = 21- 1² (1-1) Los (n 2πrt) (t-1)…

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Q: (v3 - 3y + 2)√√9+ x²dx + x²dy = 0

A: The given differential equation is;  (y2-3y+2)sqrt(9+x2)dx+x2dy=0. Repost the next questions.

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Q: I cant underestand this please write on paper

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Q: 1. Find the area between y= |x|^y=2-1x₁

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Q: Evaluate the integral. Select the correct answer. O 3100 3100 3100 t + t + sin 16t+sin 32t+C 75 1…

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Q: Write an equation for the quadratic graphed below x-intercepts: (-3,0) and (1,0). y-intercept:…

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Q: Find a basis for the row space and the rank of the matrix. -2 -4 4 4 3 6-6-9 -2 -4 4 5 (a) a basis…

A: Use the fact rank(A)= dim rowspace(A)

Q: Evaluate f cos*x sin² xdx. 1 16 A B O A 1 -x+ sin 4x 48 1 =x+ 16 1 8 sin 4x 1 64 1 sin³ 2x + C sin³…

A: We need to evaluate integral.

Q: 1. Find the area of the region bounded by the graphs of y = x² + 2, y = -x, x = 0, and x = 1. Hint:…

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Q: Let u =(3,-4) and v= (-1,-4). Express u+v in the form (a,b). u+v= (Simplify your answers.)

A: The objective of the question is evaluate the sum of given vectors .

Q: 3. S(e²r – e-²r) ² dr

A: Given: I=∫e2r-e-2r2dr    ...1   As we know the Power Rule: ∫xndx=xn+1n+1+C ; n≠-1 And…

Q: 11. Find the linear approximation of f(x) = √√x_ at a = 1. Use the linearization to estimate the…

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Q: Y= x^5-2x^4+3x^2-5x+1 find the concavité upward and downward, show the graph and find the point of…

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Q: Find the linear approximation of given function at (0, 0). 3x + 4 2y + 1 f (x, y) = f(x, y) =

A: We have to find the Linear approximation of the given function.

Q: ach function, determine whether it is a polynomial function. Function (a) v(x) = 8x³ +0.9x² (b) u(x)…

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Q: 1. y" - 2y' - 3y = 5e¹, y(0) = 1, y'(0) = 0 2. y" + 2y + 5y = 3 sin(2x) 3. y" - 4y + 4y = -7x+4x²,…

A: Since you have posted multiple questions. As per guidelines we"ll solve only  first question. If you…

Q: 4. The value of A. 2 In x + 1 + B. C. D. 2 ln 2 ln 2 ln 2x² + 3x +3 (x+1)³ x + 1 + x + 1-1 x + 1|- 1…

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Q: A rectangular box with an open top has a length of x feet, a width of y feet, and a height of z…

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Q: Evaluate the integral. Oin | +0 | C In (x-8)² x + 7 In |(x-8) ³² (x + 7) + Din ((x=83² ) +1 In C + 7…

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Q: Suppose the centripetal acceleration of a particle moving in a circle is a = where v is the velocity…

A: Please see the below picture for detailed solution.

Q: Evalua COS [cas (VF) ². √t = √t

A: We have to integrate the given trigonometric term.

Q: Let f(x) ƒ'(x) = = 5 csc (8x)

A: The answer is given below:

Q: The Mosteller formula for approximating the surface area S, in square meters (m²), of a human is…

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Q: Evaluate the integral Select the correct answer. O ㅇ 12 πC 24 πC 12 + + + 나이 이어 나이 이어 1 4 −|◄ −|+…

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Q: Find the limit. lim (x,y) →→ (37,6) 5 sin y

A: We can find the answer as below

Q: The length of a rectangle is increasing at a rate of 8 cm/s and its width is increasing at a rate of…

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Q: Let f(x,y)=x²-5xy-y². Compute f(2,0) and f(2,-4). f(2,0)= (Simplify your answer.) f(2,-4)= (Simplify…

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Q: A model rocket is launched vertically upward from the ground with an initial velocity of 14 ft/s.…

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Q: . Find a formula for f(x) iff(x) = ln(x - 1). (Hint: x-₁=(x-1)^¹')

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Q: Let an be a sequence that satisfies a recurrence relation anan-1 +5 for n-1, 2, 3, ... and suppose…

A: NOTE: Refresh your page if you can't see any equations. . here we have  the given recurrence…

Q: Suppose you use Newton's Method to approximate a solution for f(x)=x³-4 with an initial guess of Xo…

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Q: Evaluate the limit. 1000x6x6 + x³ 1000+ 13x6 + es Give your answer in exact form. If the limit does…

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Q: 15 Find the Equation of the tangent at (); 4 2 'V or to armist mi Y sin (127) = x cos (24) 7 ition]…

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Q: Use the method of undetermined coefficients to solve the initial value problem. Oy y = y= y = y = 3…

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Q: Find the slope of the tangent line to f(x) = √9x³ at the point x = 4.

A: We have to find the slope of the tangent line to f(x)=9x3 at the point x=4.

Q: O F5 F1 O F4 F-1- F3 F2 Some antiderivatives of a certain function are graphed here. Although there…

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Q: Determine the domain of the function of two variables. 7 4y - 2x² g(x,y)= {(x,y) | y*}

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Q: 1. Show that (a) exp(2±3лi) = -e²; (c) exp(z+лi) = - expz. πί p ( ² + 7² ) = √ = (1 + i); 4 (b) exp

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Q: Find all the zeros of the quadratic function. y=x² - 10x+16 If there is more than one zero, separate…

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