Find an equation of the tangent line to the graph of the function at the given point. 1 arccos x y = y = y 1 y = -arccos x V2 37 4 2 8 1 -1 1 2 kIN

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Q: There is a relationship between perceived corruption and human development in a country that can be ...

A: Given  H(x)=0.3+0.28 In x                 where H(x) is Human development index                     ...

Q: 4. Summation of two variables: E(x, +y;)=E×, +£v, i-1 Example Evaluate the following given that x, =...

A: We can find the answers as below.

Q: Evaluate the integral. S* con5 8x dx n/2 O-2 15 15

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Q: Evaluate the integral. | 8xex dx

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Q: (b) Given the first-order differential equation as below: (x² +3y² +5)dx+(6xy +6y+3)dy = 0 (i) Ident...

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Q: Evaluate (in the picture)  Then, write the coefficients of the integrals: Blank 1 cos3t + Blank 2 c...

A: Given that: ∫(sint.cos2t)dt

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Q: 3x – 2 if x 10 lim f(x) = lim I+10+ f(x) = f(10) f(x) cannot be made continuous because lim f(x) do...

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Q: Find the number(s) 6 such thát the average value of f(z) = 6x² – 26x + 32 on the interval [0, 6] is ...

A: Given that: f(x)=6x2-26x+32on [0, b].Average value is 11 on [0, b]

Q: The function f(x) = 6x In(1 + x) is represented as a power series f(x) = E > Cnt". n=0 Find the spec...

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Q: Q3 Given the following non-homogeneous system of first-order linear differential equation: yi' = 5y,...

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Q: Given the differential equation y" - 9y = 7x5 + 4x² e-8t Find the Differential Operator for the Righ...

A: Consider    7x5+4x2e-8x Differential operator of 7x5 is D6Differential operator  of 4x2e-8x  is (D+8...

Q: Function Type Differential Operator AxN + BxN-1+ .+C DN+1 AxNeax (D - a)N+1 cos(Bx) or sin(Bx) (D? +...

A: Solution

Q: Suppose f(x) and g(x) are two functions such that: • f(3)=1 • g(3)=1 • f(3)=5 • g'(3)=7 What is (fg)...

A: we know that uv' = u'v+v'u                   product chain rule of differentiation

Q: On the graph of f(x) apply. = csc x and the interval [0, 2n), for what value of x does f(x) = -1? Ch...

A: Given  f(x) = csc x , x∈[0,2π) csc x  is negative in 3rd and 4th quadrant  

Q: Evaluate the integral. | cos" (x)dx cos"(x)dx

A: According to question,given Integral,Let I = ∫ cos-1x dx

Q: Given an ordinary differential equation in the form: (xy + y² + y)dx – (x + 2y)dy = 0 (Eq. Test the ...

A: According to question,Given Differential equation,xy + y2 + y dx - x + 2y dy = 0

Q: Find a (real) general solution. y" + 2y' + 2y = 4e¯* sec³x

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Q: n (n+1) (2n +1) 2. Find the sum (k+4)2, hint use use this formula and subtract out the 1, 2 ,3, and ...

A: Explanation of the answer is as follows

Q: af and dv se ди at (и, v) %3D (-3, -3). Use the Chain Rule to evaluate the partial derivatives- S(x,...

A: Given that: f(x, y, z)=x3+yz2x=u2+vy=u+v2z=4uv

Q: Find the center of mass of a thin plate of covering the region between the x-axis and the curve y = ...

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Q: lo) Use a tangent plane to approx. the value of the following tunction. at the point (2.1L- 14.D) f(...

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Q: The given problem needs the first derivative. Find the first derivative. a² x Y= a² + x

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Q: Question Given f(x) = 3 fihd f (-4) using the definition of a derivative. I+2'

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Q: Consider f(x) = 1 – x for 0 1: an b) O an = c) O ao = 1/2, and for n > 1: a, = 4(1+ cos(nT/2))/n²n²...

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Q: Identify the type of generalized integral +00 fx'e* dx- and in continuity (if converging) to be calc...

A: According to question,Given Integral,Let I= ∫0+∞ x2ex3 dx

Q: 3. (a) Evaluate the following with the trigonometric form of Beta functions(Give your answer in term...

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Q: 6 3x° sin Evaluate: lim

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Q: Given the differential equation y" - 2y' - 15y = 3x + cos(5x) (1) Find the combined differential ope...

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Q: For following points please plot the pointsand find the distance between the points and find the mid...

A: We know that, Distance= √((x2-x1)²+(y2-y1)²) Mid-point= ((x1+x2)/2,(y1+y2)/2)

Q: Use the shell method to write and evaluate the definite integral that represents the volume of the s...

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Q: Find the slope of the normal line y^2=1-x^2 at point (2,1)

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Q: -97 a. Find the most general real-valued solution to the linear system of differential equations a' ...

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Q: Function Type Differential Operator AxN + BxN-1 + .+C DN+1 AxNeax (D – a)N+1 cos(Bx) or sin(Bx) (D2 ...

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Q: F(x, y) = x²yi + 3y³x²j Find the integral curves for the vector field -6y + 1 C 6ху? a. ob. -6ху —1 ...

A: Apply integral form 

Q: Use implicit differentiation to find the tan x sec?x 9. y' of sec?x + csc²y = 9 ans. y' = coty csczy...

A: topic - implicit differentiation

Q: Write as a decimal. (Type a decimal.)

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Q: (x² +3y² +5)dx +(6xy+ 6y+3)dy = 0 Identify the exactness of the differential equation. Calculate the...

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Q: cOS X -dx | sin? x

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Q: Expand the expression. If possible, write your answer without exponents. 8m log 2

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Q: Factor the following expression completely: bw – 14w³ – 12w? %3D

A: Given Data: 6w4-14w3-12w2

Q: Use a trigonometric substitution to evaluate the integral. dx

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Q: Continuity of Functions at a Point Determine if the given functions f(x) are continuous or not at th...

A: According to question,Given Function,fx = x2 + 2x +1 at x = 2

Q: Differential Operator General Solution DN AxN-1 + BxN-2 +..+C (D - a)N AxN-leax + BxN-2eax + ... (D?...

A: differential equations

Q: cos(x) dæ with n = 4 is: The Trapezoidal Rule approximation for

A: Given ∫14 cos(x)x dx   n= 4 here f(x) =cos(x)x

Q: 2. Find the cartesian equation of the following: а. r = 3-sin e b. r? cos(20) = 4 9. r2 C. 4 sin(26)

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Q: derivative

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Q: dy VE (1 + y?/7) 21

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Q: Evaluate the expression using the order of operations. (22 - 9+ 3) - (42+3•5) (22 -9 + 3) - (42 +3•5...

A: We know that BODMASThat is Bracket-Division-Multiplication-Addition-Subtraction.Given (22-9÷3)-(42÷3...