3. For curve y ==x +4x2 - 12x , locate the possible maximum and minimum %3D points.

Q: Find the Taylor series for f(x) centered at the given value of a. [Assume that f has a power series…

A: Taylor series for f(x) centered at x=a :     f(x) = ∑n=0∞ fn(a)n!(x-a)n

Q: s @ = 135° a solution to the equation sine = cos 0. Justify your answer and explain the approach you…

A: Given query is to find that statement is true or not.

Q: y = xx, x = 4, and y = 0 ... Revolve the area of the shaded region about the line x = 4. Using…

A: We have to apply circular discover method to solve the problem

Q: 3. Check Euler's Theorem for the function f(x, y) = x + y3 + 3xy2.

A: Euler's Theorem for the function :          x∂f∂x+y∂f∂y = n.f(x,y) ; where , 'n' is the degree of…

Q: Maximum Oil Production It has been estimated that the total production of oil from a certain oil…

A: given : Total oil production T(t) = −1000(t + 11)e−0.1t + 11,000   Production at time t given by

Q: Problem 3. at a speed of 60 cm/s. Suppose the function g models the radius as a function of time t…

A:

Q: satisfies thé équation:y + 13y - Show that y=e Sin 3x

A: Topic = Derivative

Q: Consider the following. h(x) = ex2 − 4   Find  h '(x)=   Solve  h '(x) = 0 for x. x=   Find  h(0)=…

A:

Q: Use implicit differentiation to find the gradient of the tangent line for xy 6xy - 2x = 9 at the…

A: topic- application of derivative

Q: Find two other pairs of polar coordinates of the given polar coordinate, one with r>0 and one with r…

A:

Q: Csin $ 3 y cos*3 ychy

A:

Q: The three basic trigonometric substitutions are in the table below. Integral Contains Try using…

A: We will solve the integration.

Q: Use the Shell Method to find the volume of the solid obtained by rotating region under the graph of…

A:

Q: Find the sum of the series. s 7(-1)"72n + 2n + 1(2n + 1)! 00 Σ n = 0

A:

Q: Express the series using sigma notation. -6m – 3m + 0 + 3m + 6m ... 5 23mn – 9m n-1 3mn +9m 5 23mn…

A: Solve the following

Q: show

A: As per the guidelines we can solve 3 parts only.

Q: Find the area inside the oval limaçon r=7+3 sin 0. The area inside the oval limaçon is (Tuno uor…

A: we have to find the area.

Q: Find the area of the shaded region. x = -y x = 2 – y? -2 2 10 В

A:

Q: 15x + 44 -5x + 84=26 then astructions: Rewrite each Systems of equatons as amatrix, perform cow…

A:

Q: Problem 11. Solve the following system and express your solutions (if any) as individual ordered…

A: 3x2-2y2=-5     2x2+4y2=18

Q: 12 (25x – 46x' + 3)dx J-12

A:

Q: Use the limit comparison test to determine if the series converges or diverges. 00 8. 23) E 8 +…

A: We can solve as follows

Q: Find div F and curl F if F(x, y, z) = xz°i +2y°xj+62

A: Given: Fx,y,z=xz6i+2y8x2j+6z2yk

Q: 6) Shared by the circles r = 2 and r = 4 sin 0

A:

Q: 5. Consider the region R in the plane enclosed by x-0, y=1 and y = x a. Draw the region b. Use…

A:

Q: Let h(x) = tan (2x + 6). Then h'(2) is and h'(2) is

A: topic- functions and derivatives

Q: 2. Find y ify=xIn (axt1)

A: We will find the derivative.

Q: 2. Find the desivative ofy= Binx

A:

Q: Determine if each series converges or diverges. Justify your reasoning. 1 A. - k k=1 k2 k+ln k ak…

A:

Q: Finding the work done in lifting a leaking bag of cement. A bag of cement originally weighing 143 lb…

A:

Q: Find the area of the shaded region. x = -y x = 2 – y? -2 A B 10 2. 2. 3.

A:

Q: solve with complete solution, tell whether the improper integral is convergent or divergent

A: Yes the improper integral is convergent. see below the answer and calculation

Q: A mass attached to a vertical spring has position function given by 8(t) = 4 sin(4t) where t is…

A:

Q: dy for x'e*y Find dx sin' ( 3x) + In (y) by using implicit differentiation.

A: Since you have posted multiple questions in this question which are not interlinked so I have solved…

Q: Answer the following True or False: Let f(x) be a differentiable function, such that f(– 1) = - 5…

A:

Q: Find the general solution of the given variable separable egm atim. dy *+ ay? (2) %3D

A: Given :dydx=e3x2+4y2

Q: If f(x) = /8 +r² dt , find f'(1).

A:

Q: 3) use implict differentiation to finol dd et the point (8.1). 4 xy+ slny=32 Anywery: 28 a) 37 り 36…

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Q: Write a formula for the nth term of the following g 2, 8, 32, 128, Find a formula for the nth term…

A:

Q: Determine the convergence or divergence of the series. (If you need to use o or -co, enter INFINITY…

A:

Q: e3t – 1 lim t0

A: Use l hospital rule for finding the limit.

Q: long

A: We will use long division method.

Q: The area bounded by y=3Vx and 2y =3x is revolved about the x-axis. Using cylindrical shell method,…

A: Consider

Q: 6x² +19x+13 2x +5 5.

A:

Q: Solve the triangle. Round your answer to the nearest tenth. mZA = 37°, a = 28, с 26 mZB 109°, m2C =…

A: Given query is to solve the triangle.

Q: A job applicant estimates that his chance of passing a qualifying examination is , and his chance of…

A:

Q: Show that the function f defined by (x, y) = (1, – 1) f(x, y) = 1² + y (x, y) # (1, –1) I + Y is not…

A:

Q: Find lim, x4x+3 X-5x+6 X-X

A: Given query is to find the limit of the expression.

Q: Evaluate the following limits. If needed, enter oo for oo and -oo for – 0. V5 + 6x2 (a) lim 3+ 10x…

A: Use the substitution and then simplify the limit.

Q: y = xx, x-4, and y =0 Revolve the area of the shaded region about the line x- 4. Using circular disk…

A: