Q4) Find the turning points and the local maximum and local minimum of the given function x 5 y = +-x²+6x+1 3 2

Q: b) X, + X2 - 2 X3 +Xy = a) 5X +2y = 1 3X +2y %3D = 1 Xz - X3 +2 Xy = 1 %3D = 5 X - 5y = 6 c) 2x, +8…

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Q: ェ-1 %3D the x-values at which f is not

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Q: 465.98 23.98 2.789 56.09 ATATA TTA TA

A: Rounding up

Q: Question 28 Find T, N, and B for the given space curve. r(t) = (In (cos t) + 8) i + 7 j + (5+t) k,…

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Q: O5 D Set yp but do not evalvate em integral that represent3 the volume of the solid of…

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Q: Find ify= xln(4x +1)

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Q: Suppose that f (x) is a function such that lim f(x) and lim f (r) both exist. r3+ Does this mean lim…

A: Use limit definition to prove the limit.

Q: 5. 7=-7ī -14]- 21k, p=(-4,8,12) 6. i = (5,0,-2). = (4,-7.10)

A: if  their dot product is  equal to zero then they are orthogonal

Q: Given r = (5, 2, 3) and s = (-4, -2, 2) and t = (3, 4, 1) %3D a. Write the unit vector for S b.…

A: This question can be solved using the concept of unit vector and linear combination of vectors.

Q: Evaluate the cylindrical coordinate integral. π θ/π 74-2 zdzrdrde 0 0 - /4-12 a 0/n 7/4-12 zdzrdrde…

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Q: 7 Evaluate the sum i(3i + 2) i=1

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Q: 6. lim (sinx)*

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Q: .W (3) Solve the following differential equations of

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Q: -3 2. (2x+4)3 8x dX use integration by parts and then find the value of definite integral.

A: A detailed solution is given below.

Q: et dz V1-e2x

A: Given problem:-

Q: Question 6 1 1 1 1 1 6 2 0 2 Find the inverse of A = | 2 3 2 2 3 using the cofactor method. 5 7 1 1…

A: Solution is given below:

Q: A producer of clay repair kits has determined that the revenue from the production and sale of x…

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Q: dx (x- 3)

A: As per our guidelines, we are supposed to answer only one question. Kindly repost other questions as…

Q: Evaluate the integral dx (5x + 9)* by making the appropriate substitution: u = dx (5x + 9)*

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Q: Simply the integral dx using am X²+4 A a ate trigonometric substitution. S sin edo DS sec edo dS1de…

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Q: 13) which of the following Series convenge' 7n Ci) In hzg

A: i)∑n=1∞ 17nThe series diverges by p-series test.(∑n=1∞ 1np converges only when p>1)=17∑n=1∞…

Q: Evaluate the line integral / (6x + 2y)dx + (x – 7y)dy along the 10 cos t, y in (0 <t: curve C: x =…

A: A detailed solution is given below.

Q: Evaluate F• dr. F(x, у) — хі + уј = xi + yj C: r(t) = (7t + 9)i + tj, 0stsi

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Q: Set up a triple integral for the volume of the solid. Do not evaluate the integral. The solid in the…

A: Volume

Q: If y= In Cschx + coth y Biod dy

A: Given: y=lncschx+cothx

Q: Question 16 Find the equation of the tangent plane to the given surface at the indicated point. x2…

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Q: Evaluate the expression. 14C11 O A. 182 В. 3003 О с. 2,184 O D. 364

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Q: 19. e dr

A: Topic = Integration As per guidelines , At a time only one question can be answered. please repost…

Q: x")' = a xa-,(x)'=1 and (constant )'= 0. %3D x+2 Using Quotient Rule (£)' = f'g-fg') x-1 A) 2x/…

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Q: 5. Write an expression equal to - log. (c) · log (b) |using exactly one log. (hint: the base of the…

A: To answer the given question of logarithms.

Q: Question 2 of 4 (x² – 1)(x + 1) (x2 – 2x + 1) :- f (x) =

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Q: Q2: You have the matrix How can we get the transpose matrix

A: Given problem:-

Q: -dx 23+1

A: Given :

Q: 6. lim (sinx)*

A: u =eln u, then:limx→0+  (sin x)x  =limx→0+  ex ln(sinx)=limx→0+  eln(sinx)1x=elimx→0+  ln sin(x)1x

Q: Evaluate the double integral.

A: Given

Q: Determine whether the infinite geometric series is convergent or divergent. If it is convergent,…

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Q: Evaluate the line integral using Green's Theorem and check the answer by evaluating it directly.…

A: Here , we have given an integral and we have to integrate over a rectangle whose vertices are given…

Q: 47. f(x) = V(3 – x) on [1,3]

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Q: A forest has a population of cougars and a population of rabbits. Let æ represent the number of…

A: A detailed solution is given below.

Q: 4x | 13- dx 3-4x -4x2

A: ∫4x−4x2−4x+3dx=4∫x−4x2−4x+3dx Rewrite x as x=x+12−12 and split the expression:…

Q: dx

A: A detailed solution is given below.

Q: 7. Give one example a that makes log, (x) rational but not an integer

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Q: Solve the following differential equations of 03B (1+x* )(dy – dx) = 2xydx,

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Q: Find the angle between the given vectors to the nearest tenth of a degree. = (8, 6) u = (7, 8), v =…

A: Topic:- vector algebra

Q: Given the function, f(x) = 5 – x using a Riemann sum, estimate the area of the region between the…

A: Given problem:- Given the function,   f(x) = 5-x using a Riemann sum, estimate the area of the…

Q: -2x (1+ee) dx e

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Q: Question 9 Solve the problem. Find the volume of the region enclosed by the sphere x2 + y2+ z2 = 100…

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Q: (2sinx-sin2x' 1. lim x-sinx

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Q: Evaluate the double integral. / 5x(4 + y) dA; R R is the region in the first quadrant enclosed by y…

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Q: VI 23) Consider the region in the second quadrant between the ciréies X²+y?=4ard x?7y==25 ?-25, and…

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