Find the linearization of the function f(x) = 1 9x+8 √a la π sin (a) L(x)= Find the true values of f (x) and the approximations using L (x) below. Round all of your answers to 3 decimal places. You can use a calculator, spreadsheet, browser, etc. to calculate the exact values. x The exact value f (x) The approximate value L (x) -1.1 Number Number -1.01 Number Number -1.001 Number Number at x = -1. E

Q: Given the following piecewise function, evaluate lim f(x). x→2 -x² - 2x - 2x² - 1 f(x) = -2x² - 3x +…

A: Explanation of the answer is as follows

Q: ³√x²e²²\ Which of the following is the most appropriate technique to use in evaluating O Integration…

A: The given integral is x2e-x.

Q: 1. f(u) = u³, g(x) = u = 2x¹ + 1 Find (f g)'(-1).

A: Here, the given functions are: f(u)=u3 & g(x)=u=2x4+1 Now, f∘g(x)=f(g(x))⇒f∘g'(x)=f'(g(x))g'(x)…

Q: If f(x) = 6 sin¯¹(x²), find ƒ'(x). Find ƒ'(0.5).

A: This question is related to differentiation, We will solve it using given using given information.

Q: Find the solution of the given initial value problem. y’’+2y’+2y=0,     y(π/4)=2, y’(π/4)=-2…

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Q: Q4/ B/ If Ø = (x³y²z) and A = 2xz i - 3y²j+ 3xy²k Find 0(ФА) ay əx the point (2, -1, 3)? at

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Q6) Determine if the following integrals converge or diverge. If the integral converges determine…

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Q: Determine the interval(s) on which the given function is increasing. 6 3 2 1 -5 4 -3 -2 0 4 0…

A: Use graph

Q: Q1. Find the inverse of the following matrix by using Gauss-Jordan eliminations 1 21 2 3 12₁₂ +1 -1…

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Q: If an object is moving along a horizontal line, such that it's velocity, v(t) = cos(3t), what is the…

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Q: Find the streamlines of the flow associated with the given complex function. f(z) 2) == /2 (x(e),…

A: Here is the solution of the given problem:  Complex Number and it's conjugate:

Q: Evaluate ㅠ (2) 풍 1 1 5 -dt. t² + 1 (b) ㅠ 24 (c) 쯔3 (d) ㅠ 2

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Q: b. |ā + (bx c)|

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Q: QuIf w=f(u, v) = cos uv, u = xyz ,v= 4(x²+y²) dw Prove that = 0 at the this point (x,y,z)=(1,1,1) дх

A: Given : w=f(u,v)=cos uv   , u=xyz ,v=54(x2+y2)   To Prove: ∂w∂x=0   at (x,y,z)=(1,1,1)

Q: Evaluate the integral dx fax √2x-x1

A: Given: I=∫dx2x-x2   As we know the common integral; ∫11-x2dx=sin-1x+C

Q: State

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Q: Apply

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Q: 5. ²+²=2xy 6. 2x + 2y + 2y' + 1 = 0 dy dy 7.

A: Solution is here

Q: d dx [x² tan x] d sin x dx [1 + cos x] ₁ || 1 1 + cos x

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Q: A rectangular box of length x, width y, and height z has a surface are of 700 cm². Set- up the…

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Q: Use the geometric series formula 1 ∞ x³ 1 - = Σy to express the function as a series: n=0

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Q: The vertical displacement of an object fired at an initial velocity v and an angle of elevation at…

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Q: Q5/ Determine the total differential If Z = f(x,y) = x²y², x=2rcose, y = 2rsine

A: Here, the total derivative rule used is: z=f(x,y)=x2y2 & x=2rcos θ , y=2rsin θ

Q: 10. Show that these two lines are coincident. [x, y, z]= [1, 5, -2]+s[1, 7, -3] [x, y, z]=[-3, -23,…

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Q: The function f(x) = 2x³-36x² + 210x + 11 has one local minimum and one local maximum. Use a graph of…

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Q: The definite integral that will give the area of the region S using HORIZONTAL strips is +9 Solve -…

A: The simple integration using diagram... Find out area

Q: Find the general solution of the given differential equation. y’’+2y’-8y=0 topic: complex roots of…

A: Explanation of the answer is as follows

Q: Determine lim f(x) given the definition of f(x) below. (If the limit does not exist, enter DNE.)…

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Q: Find the derivative using logarithmic differentiation √x+1 y= (x+2) √x +3

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Q: e will examine two procedures in the use of partial integration (See image) a) Procedure 1: Derive…

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Q: (3 - x) dx is equal to ° S (3 − x) dx + ["' (3 + x) dx °₁ (3 - x) dx ° L₁ (3+2)dz + f (3-2) x) dx x)…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: 14. State whether the following pairs of planes intersect. If the planes intersect, determine the…

A: The planes are,π1: x-y+z-2=0 and π2: 2x+y+z-4=0

Q: Compute AB, where A AT B = = 24 09 4 -3 -1 and B = 76 (1 %). 6 4

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Q: For the function y = f(x) f(x) = 1x³ + 5: df a. Find at x = = 4. dx ƒ'(4) = = 48 b. Find a formula…

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Q: 2x²+x 2. lim x-0 5x

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Q: 13. Write the parametric equations of the line through the point P(-6, 4, 3), that is perpendicular…

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Q: 4. Which statement is never true for two planes? c) a) They intersect at a point b) The intersect at…

A: Which statment is never true for two planes

Q: df Use integration to find f(4) if- dx O 42.667 O 43.667 O 47.667 O 48.667 = 2x² and f(0) = 5.

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Q: 5) (6: -1). Find f'(x) if f(x) = (4x² + 5) ( 6x - f'(x) =

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Q: Q3/Evaluate: ff(x + y) dy dx for the region bounded by the x = 0, x = 2, y=x and y=x+2

A: Given

Q: The definite integral that will give the area of the region R using VERTICAL strips is +2 ° ³* ((2²…

A: Explanation of the answer is as follows

Q: tan(2x) x+02sin²(x) Evaluate: lim O a. ∞ O b. -∞ O c.0 O d.-1

A: We have to evaluate limx→0- tan2x2sin2x         Here two sided limit does not exist.…

Q: where t is time in seconds and the dimensions

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Q: (1+x)n

A: We can solve this as follows:

Q: If f(t) = sin−¹(3t), find ƒ'(t). Use exact values. ƒ'(t) =

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Q: For the next two exercises, determi Hiverges. 3 Ž. Σ (-1)" √n + √√√n+1 n=1

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Q: x-2 3. lim x-2x²-4

A: Here we have to find the limit of the function.

Q: Evaluate the function f(x)= -2x+8 at the indicated values. a) Find f(3). b) Find f(-2).

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Q: For the linear function y = f(x) = - 4x - 4:

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Q: 22:- Solve the following Equations by Gauss - Jordan method 2X+4Y-6Z=-4 X+ 5Y+3Z=10 X+3Y+2Z = 5

A: Here we have to solve the equation by using the Gauss-Jordan method.  2X+4Y-6Z=-4X+5Y+3Z=10X+3Y+2Z=5…