Use logarithmic differentiation to find the derivative of y with respect to 0. 0+5 y= O cos 0 Find the derivative of the logarithm of the expression on the right side. ( In (y)) = (Simplify your answer.) dy do (Simplify your answer.)

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Q: If e2P - et = p + t, compute dp/dt whenp = t = 0. p'(0) =

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A: Given:rdhdr+2h=0  

Q: 1 dx exactly and show that the result is Evaluate 1+ x2 . Then, find the approximate value of the 4 ...

A: Formula ∫ 1/(1+x2)dx = Tan-1(x) Trepizoidal rule I = h[f(xo)+ 2[ f(x1)+f(x2)+f(x3)....]+ f(xn)]

Q: 5. Exact Difle rential Equation: 3ry -4y' +6dr + (r° – 6x°y² - 1kty =0

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Q: Suppose w(t) is the weight (in pounds) of a golden retriever puppy t weeks after it is born. Interpr...

A: Here t represents the weeks

Q: Write the following sum as a single logarithm. Assume all variables are positive. log,(c) + log,(c +...

A: To find: log3(c)+log3(c+4)   Formula: loga(xy)=loga(x)+loga(y)  

Q: 2. y"-7y'=(2x-1)sin 2x

A: Given,y" - 7y' = (2x-1) sin2xNow substituting the value:y" = D2yy' = DyD2y - 7Dy = (2x-1) sin2xD2y -...

Q: 8. The differential equation (2x' -xy² -2y+3dx-(x'y+ 2x)dy =0 is exact because ON

A: Given:     Differential equation 2x3-xy2-2y+3dx-x2y+2xdy=0 The differential equation is exact if    ...

Q: (x - ky) dx +k(y-x)dy=0 where k 3t7

A: Given :(x-ky)dx+k(y-x)dy=0where k=7+3=10  

Q: 3. Separation of Variables: x(y+1)dx+ dy = 0

A: Differential equation  Separation of variables

Q: Direction: Read then solve the question carefully. Click the letter of the correct answer. Find the ...

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Q: Properties of Exponents Which of the following are TRUE regarding f(r) = log, x (b > 0 and b ± 1)? C...

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Q: The annual world consumption of silver is predicted to be 22.3e0.0ir since 2014. Find a formula for ...

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Q: Homogeneous Differential Equation: (x* +2.xy – 4y² kdx – (x² – 8xy – 4y² ldy = 0 y. x==; y = wx; d =...

A: This question is based on solution of Homogeneous differential equation.

Q: Find the inverse of the given function. log, (æ) f '(x) =

A: Given query is to find indicated inverse function.

Q: Direction: Read then solve the question carefully. Click the letter of the correct answer. Find the ...

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Q: y = Ce-2 + C2e3*

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Q: 1. The order of the differential equation 5x- d'y aty + 3x + w'y = 0 is

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Q: Direction: Read and understand the statement before answer. Click "TRUE" if the statement is correct...

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Q: Convert 60(1.19)" = 3390 to logarithmic form and use the change of base formula to solve for w. Roun...

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Q: find all of the critical points and local maximums and minimums of each function. (a) f(x) = 1+ x2 '...

A: Note: Since multiple questions are asked, I am answering the first question.please repost other ques...

Q: The length of the curve y=In sec x from x=0 to x=b, where 0 < b <, may be expressed by which of the ...

A: Given length of the curve y = ln secx.Below find the solution in the image.

Q: 3. Given a = (--6,6, 3) and b= (1,-1, -2) (a) Give the exact value of the angle between vectors a an...

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Q: N. R dy dx where M,N, P.Q and R are algebraic expresions.

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Q: 4) Determine whether the improper integral diverges a) fx'e *dx or converges: 1 b) J (7x +1)³ 1

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Q: Homogeneous Diffe rential Equation: (r+2xy – 4y´ kdx – (xʻ - 8xy – 4y´ dy = 0 Use the substitution d...

A: Given DE isx2+2xy-4y2dx-x2-8xy-4y2dy=0Solve the homogeneous differential equation

Q: Elimination of Arbitrary Constant: y Ax + Bx+C, A and B are constant, C is a parameter %3D

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Q: All edges of a cube are expanding at a rate of 6 centimeters per minute. Draw an accurate  picture t...

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Q: 20 + S 2c + 5 こ

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Q: Answer 4,5,6,7 4.What is the second derivative of  y=6x^4−3x^3+x^2−5? A.y′′=144  B.y′′=72x^2−18x+2...

A: As per guidelines we can solve only one question at a time so if you need more answers kindly repost...

Q: Answer 5,6,7 5.If y=(2x+7)2 , then what is  dy/dx? A.dy/dx=2(2x+7)  B.dy/dx=2 C.dy/dx=4x  D.dy/dx=...

A: Differential equation 

Q: find all of the critical points and local maximums and minimums of each function. (b) f(x) = Vx – 2,

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Q: The length { of a rectangle is increasing at a rate of 9 cm/sec while the width w is decreasing at a...

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Q: Activity 3. "Let's be connected with each other" Directions: Compute f'(3) for each of the following...

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Q: Find the volume of liquid needed to fill a sphere of radius R to height . R y

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Q: If y = x/T, then y' – 1/*. Select one: O True False

A: Given - y = x/π  To show :- y' = 1/π    

Q: 0. The equatIon of the Tamily of straight ines with y-intercept and Sope equar is 7. The function (x...

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Q: Find an equation of the tangent line to the graph of the equation at the given point: f(x) = 3x2 + 9...

A: Tangent line  -  slope of tangent line will be equal to differentiation at that point.

Q: . Separation of Variables: x(y+1)dx+ 2 dy = 0

A: Given: xy+1dx+yx2dy=0   We know that; The Power rule: ∫ax+bndx=ax+bn+1an+1+C; n≠-1 And ∫1ax+bdx=1aln...

Q: Elimination of Arbitrary Constant: y= Ax² + Bx+C,A and B are constant, C is a parameter

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Q: Vx2 – 16 if x 0 Find the following: Note: If the g(a) or lim g(x) does not exist write DNE. 1. lim ...

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Q: For what values of r does the function y = ex satisfy the differential equation y" – 4y' + 2y = 0? (...

A: We will differentiate y and put in the equation and then will find the value of r.