3. Determine the exact value of f"(0) for f(x) = (cos5x + 5x²)*.

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A: here it is the y = k/x form and  now k = y*x put the value  k = 4*1 =4 k = 8*1/2 =4 k 12*1/3 =4 so f...

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A:

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A: Given problem:-

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A: We have to solve both Questions.

Q: 2 y +y こ メ Solve?-

A: According to Bartleby guidelines I can only answer the first question.

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Q: If 4x²-2y²=9, then find dy/dx.

A: Using defination of differentiate

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A: I am attaching image so that you understand each and every step.

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A: It is given that, F(x)=f(x)+g(x)ex+h(x)e2x+C be the antiderivative of G(x)=x+ex2  We have to determi...

Q: Ax)

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Q: In one of the warehouses of a construction firm, cement is being released from an elevated storage b...

A: Given: Cement is being released from an elevated storage bin at a rate of 29 feet3/min. i.e. The ce...

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A:

Q: In one of the warehouses of a construction firm, cement is being released from an elevated storage b...

A: Given: Cement is being released from an elevated storage bin at a rate of 29 feet3/min. i.e. dVdt=29...

Q: Determine the value of C in on the antiderivative of F(x) = sin°(x)cos³(x) for x = 0.138 and y = 0.9...

A: The given function,       Fx=sin3xcos5x

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Q: n one of the warehouses of a construction firm, cement is being released from an elevated storage bi...

A: Volume of cone=13πr2hRatio of diameter and height is 1:1Dh=11h=DVolume of cone=13πD22DV=112πD3 ...(1...

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Q: 3. Find an equation of tangent line to the given function at the given point: f(x) = 1+ arctan(x/4),...

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Q: 4 CSC* x

A: ∫csc4xco2xdx

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Q: Find the angle 0 between the vectors in radians and in degrees. u = 9i + 5j + k v = 5i - 9j (a) radi...

A: In this question, we need to find the angle θ between the given two vectors.

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A: Let's find. 

Q: 15. Evaluate o" Sy" cos(x?) dxdy,

A: Given: I=∫0π∫yπcosx2dxdy   So, The region bounded by the lines x=y, x=π, y=0 & y=π is as shown b...

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A:

Q: Evaluate the integral i- te*j + VTk] dt 0,

A: ∫03t2i - tet2j + t7/2k dt [t3i/3 - et2j/2 + 2t9/2k/9 ]03 9i - e9j/2 + 2*35/2k (9 , -e9/2 , 235 )

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A: Write the formula for the volume of the sphere and take the derivative. 

Q: P = (3,7, 3) Q=(9,1,8) Find M, the midpoint of PQ: %3D

A: P=3, 7, 3Q=9, 1, 8To find M, the midpoint of PQ.M=?  

Q: The annual revenue of Google Inc. over the period January 2008 - January 2015 can be approximated g ...

A: Given derivative of annual revenue function. To find the total revenue earned.  

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Q: Find sets of parametric equations and symmetric equations of the line that passes through the given ...

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Q: Obtain the general solution by separating variables. SHOW YOUR SOLUTIONS. ye2xdx = (4 + e2x)dy

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Q: Consider the points A(3, –3, 3), B(4, –5, 0), C(-3, –4, 0), and D(6, 2, –6). Find the volume of the ...

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Q: Directions: Evaluate the following limits. +8 5. lim X-2

A:

Q: 2. Determine the derivative of f(x) = sin-'(2x)

A: Topic = Derivative

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Q: The surface area of a right-circular cone of radius r and height h is S = TI/r² + h², and its volume...

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Q: y" – 2y' + y = –3 – x + x²,

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Q: 6. The coefficient of Sin(x) in the antiderivative of F(x) =|cos is Blank 1 (use fraction form not d...

A: This question is related to Integration, we will solve it using given information. 

Q: +-over [1, 2]. Find the exact arc length of y: - 3 4x

A: A detailed solution is given below

Q: lim,y→0 sin x

A: I am attaching image so that you understand each and every step.