Let 5 sin⁡x+ 7 cos⁡ y=6. dy/dx= d^2y/dx^2

Q: Consider the given function m (x) = - 3x - 15x +148. (a) Write the function in vertex form. (b) Iden...

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Q: dy 7. dx cos(x + y), when x = 0,y = 4

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Q: Using appropriate substitution, .3 1 the integral J1 x(3+ln(2x))² dx is equal to: 3+ln 6 3+ln 2 3+ln...

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Q: -lo I3+ 5 %3D dt

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Q: Using Laplace Transform, solve the following initial value problem 3y' - 4y = sin 2t y(0) = ;

A: Given: 3y'-4y=sin2t  ; y0=13   Use the Laplace transform of derivation of function, Ly'=sYs-y0AndLsi...

Q: +oo El-1)» (" – n)" 2" n=1

A: The given series to be tested is  ∑n=1+∞-1nπn-nn2n.   Here, we will use the Root Test: If series ∑n=...

Q: Evaluate the indefinite integral. (x2 – 6x + 9)dx , and • Identify what is the u=? and du=? Show the...

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Q: {vn – vn +1}

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Q: 4. Show how to find a vector ẽ = c – Ab that's perpendicular to b and is a linear combination of b a...

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Q: Solve the ff first order DE using integration method, by inspection, or bernoulli's equation

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Q: Find derivative of F(x) = x^x

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Q: (х — Зу + 3)dх + (3х + у + 9)dy 3D 0

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Q: Q4) find the relation between x,y such that the point (x,y) is equidistant from the points * ?((7,1)...

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Q: Given z=. Find z z„= -2x , = 2x*3 Option 1 Option 2 z„- -2x Option 3 none of the above

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Q: a) lim f(x) y b) lim f(x) 8 c) lim f(x) d) lim f(x) e) lim f(x) 2 ) lim f(x) -10 -8 -6 -2 0 2 -2 00 ...

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Q: A small hole in a rubberized container allows of the air to 20 escape each second. What percent of t...

A: We have to find the percent of the air will remain in the container, 6 seconds after opening the hol...

Q: Is the graph of the function below symmetric about the x-axis, the y-axis, or neither? Select all th...

A: We can find the correct answer as below.

Q: QUESTION 13 Find(f og)(x) and(g •f)(x). f(x) = 5x - 1, g(x) = 8 - 4x a.(f g)(x) = b. (g-f)(x) = QUES...

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Q: 5- for y = (x² + 1)5 dx a)10(x² + 1)5 b) 10x(x² + 1)* c) (x² + 1)* 6- Sin 2x is equal to: a) sin x c...

A: Answer of the above questions are

Q: QUESTION 8 Determina la razón de cambio promedio (ARC) de la función f (x) =x +x4 entre x 0 y x 2

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Q: An oblique triangle is also an isosceles triangle. If the congruent angles each measures 64.6 degree...

A: The measure of two congruent angles of an oblique triangle is, x = 64.6° To evaluate: The measure of...

Q: Solve the system of equations for the intersections of the two curves ( 62² + 3y? = 132 l7y? – 2? = ...

A: We can list the coordinate of intersection point as below.

Q: (-1)"+'2nx" n+1, En=1 2 n¯ + 3

A: Given problem:-

Q: find y' and y'' y=e^2e^x

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Q: The height (feet) of an object launched in the air t seconds after launch is given by s = - 16t + 28...

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Q: Use the formula for the binomial series: (1 + x)" m(m–1) 2 -x² + 2! m(m–1)..(m-k+1) + 1+ mx + ... .....

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Q: Activity 1: Find the value or values of x for which the curve of the following functions has a point...

A: Our Aim is to find the values of x for which the curve of the followingfunctions has a point of infl...

Q: Find and simplify each of the following for f(x)=2x2-9x+5 A) f(x+h) B) f(x+h)-f(x) C) f(x+h)-f(x)...

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Q: Calculate the area of the region to the left of the parabola x= 2y^2, to the right of y-axis, and be...

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Q: Date... anam Q. Find the Fouries Series of d sx) = -X-

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Q: dx and 3. Given the following parametric equation: =3t^2, =t^3+4. Determine without eliminating para...

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Q: (2? + y? + 1) dæ – (æy+ y)dy= 0 - %3D x +1 (x + 1)? Option 1 Option 2 (x + 1)-3 (x + 1)-1 O Option 3...

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Q: S coslnx dx

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Q: What is the first derivative of the expression (xy)× = e?

A: See the details solution in below

Q: Given the function s(x) and the following information: 1. s(-7) = 5 2. s'(x) > 3 on [-7, 2] Which of...

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Q: Given w = xysin(z*), x=s-t, y = s°, z=t?. Use the Chain Rule to find aw - ysin z? + 4txyzcos z? aw -...

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Q: Given z= Find z, zy.

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Q: Determine the convergence or divergence of the series using any appropriate test from this chapter. ...

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Q: Q2) Find the distance between the line (y=x+4) and the center of the circle (y+x-4x-4y%34)

A: A detailed solution is given below.   (As per our guidelines, we have to solve only 1st question)

Q: 1 i. g(x)= 3+9x? 1- 5 (Ans: (x+ x²)*. X + (x+ x -3 X + (x + x³ ) ³

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Q: F(x) = 4-tan(x) / 1-x^2 find the derivative

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Q: At the start of 2010, an online social group had 360 million members. Subsequently, new members join...

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Q: xdx + ydy = (x2 +y)dx

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Q: 2. Find the points on the graph of f(x) =- where the tangent line is horizontal. x2+2

A: Given f(x)=xx2+2we want to find the point on curve where tangent is horizontal 

Q: Assuming that z is a differentiable function of x and y, Let F(x,y.2) = In(x?y) – e" - tan-1z. Find ...

A: topic - partial derivative of a function

Q: yi+ yž = 1, when x = 0, y = 4 %3D %3D

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Q: Find the equation of the Line tangent of xy-y^3 =-6 at the point (2,2) Find the equation of the lin...

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Q: Is the series convergent or divergent? Justify the answer by solving it and explain why it is conver...

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Q: ædx + ydy = (x² + y³)dæ a² + y? = Ce?= a² + y} = Ce=2s Option 1 Option 2 1 In (a² + 3°) = C in (z* +...

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Q: Calculate the derivative of y with respect to x, if x^4y+4xy^4 =x+y. dy/dx =

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