2n? – 1 3n + 2n + 1 n=1

Q: Evaluate the integral ∫1/(t+1) i+ 1/(t^2+1) j+t/(t^2+1) k  ⅆt The limit is 0 to 1. Please note that ...

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Q: Evaluate the integrals ∫1/r csc2 (1 + ln r) dr

A: Given : ∫ 1r   csc2 (1+ln r )dr To determine :  The value of the integral.  

Q: The curve y=ax²+bx+c passes through the point (2,28) and is tangent to the line y=4x at the origin. ...

A: Given, y=ax2+bx+c  

Q: Calculus Question

A: a)Does the conclusion of the intermediate value theorem hold for f on the interval [-3,3]? "No" b)Do...

Q: Steps in order to solve c65

A: f(x)=lnx2+12x3 We need to find the derivative of the given function.

Q: Find using critical points then boundary with partial derivatives.

A: Given function is fx,y=ex2-4x-2y+y2 Closed region is x=0,y=0 and x+y=3 The objective is to find the ...

Q: Suppose f(x, y) = x² + y? – 2x – 4y +5 (A) How many critical points does f have in R?? 1 (B) If ther...

A: The given function is fx,y=x2+y2-2x-4y+5 Compute the critical points as follows. fx=02x-2=02x=2x=...

Q: the simple interest on an investment is directly proportional to the amount of the investment. For e...

A: Given that, simple interest is directly proportional to the amount of investment. Let I be simple in...

Q: Find the derivative of the function using the definition of derivative. g(t) = 7/(t^1/2) g'(t) =? S...

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Q: a

A: Given that: The differentiable functions f and g are defined for all real numbers x. Values of f, f'...

Q: Find the angle between the two planes 3x + 2y − z = 7,  x − 4y + 2z = 0 and find a set of parametric...

A: Known fact: The angle between two planes a1x+b1y+c1z+d1=0  and a2x+b2y+c2z+d2=0 is given by  cosθ=a1...

Q: Find k such that the line is tangent to the graph of the function. Function Line f(x) = kv x y = 4x ...

A: The function is fx=kx and the equation of line is y=4x+4. Equate both the functions: kx=4x+4k=4x+4x ...

Q: Please identify the coordinates of any local and absolute extreme points and inflection points.    y...

A: to find coordinates of any local and absolute extreme points and inflection points y=8xx2+4

Q: Suppose that  f(2) = −3, g(2) = 4, f '(2) = −5, and g'(2) = 1.  Find  h'(2).   (a)     h(x) = 3f(x) ...

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Q: Assuming g is a differentiable function, find an expression for the derivative of f(x)=(x^2) (g(x)).

A: Assuming g is a differentiable function, find an expression for the derivative of f(x)=(x2) (g(x))  

Q: Using tables of integrals for area Find the area of the region bounded 1 - and the x-axis between x ...

A: We have to find the area of the region bounded by the curve y = 1/1+sinx and the x-axis between x = ...

Q: The dimensions of a closed rectangular box are measured as 88 cm, 53 cm, and 32 cm, respectively, wi...

A: Given: The dimensions of closed rectangular box is : =88cm×53cm×32cm

Q: the simple interest on an investment is directly proportional to the amount of the investment. For e...

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Q: Evaluate the integral.

A: Consider u=lnt. Then, du=dttdt=tdu

Q: Use the Chain Rule to find the indicated partial derivatives. u = 2 + s?, r= y + x cos(t), s = x + y...

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Q: Select which of the four statements is/are TRUE? One or more options can be correct. fla + h)-f(a) A...

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Q: Sets in polar coordinates Sketch the following sets of points.

A: First we need to convert this polar form into rectangular form: We know :                      x=r c...

Q: Find the volume of the parallelepiped with adjacent edges PQ, PR, and PS, where P(3, 0, 1), Q(2, 3, ...

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Q: Find the centroid of the region bounded by the graph of the parametric equations and the coordinate ...

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Q: Graph the equation r = 4 sin θ with θ in radians. Use multiples of π/6 from 0 to π to generate coord...

A: The given equation is r=4sinθ.

Q: (M1.2 D) For the velocity function v(t), pictured below, find its algebraic formula; setf(0) = 0and ...

A: Given: The graph of velocity function vt, and position function fx with f0=0 To find: Algebraic for...

Q: Find the point(s) on the surface z2 = xy+1 which are closest to the point (10, 8, 0). List points as...

A: The objective is to find the points on the surface z2=xy+1 which are the closest to the point 10,8,0...

Q: Equation of tangent line at x=2

A: GIVENy=x3+2x+5   and x=2  

Q: Find the values of x in the interval [0,2π] where the tangent line to the graph of y= sinxcosx is ho...

A: Given:y=sinxcosx,     [0,2π]

Q: Solve the logarithmic equation log2(x - 6) + log2(x - 4) - log2 x = 2. Be sure to reject any value o...

A: The logarithmic equation is log2(x - 6) + log2(x - 4) - log2 x = 2   

Q: The cost function C(x) = 15,000 + 70x + (1000/x)  gives the cost in dollars to produce x units of a ...

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Q: Need to confirm steps to solve c67

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Q: Find the differential of the function. w=2xyexz dw=(__)dx + (__)dy + (__)dz

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Q: The area bounded by the parabola x^2-2x+y=3, in the second quadrant about the line y=4. Find the vol...

A: Consider the given curve: y=-x2+2x+3 Here, the objective is to find the volume of solid formed by re...

Q: I need help with 2

A: Since you have asked a question with multiple question in a single request, we would be answering on...

Q: Suppose f(x)=(x−1)/(x+6). Write an expression in terms of x and h that represents the average rate o...

A: fx=x-1x+6

Q: Solve the system x2 + y2 = 5, x2 + (y - 8)2 = 41 by the addition method.

A: we have to solve the system x2 + y2 = 5, x2 + (y - 8)2 = 41 by the addition method.  

Q: Find the coordinates of the vertex for the parabola defined by the quadratic function f(x) = 2x2 - 8...

A: Given quadratic function, fx=2x2-8x+3 let y=2x2-8x+3 We know that for any parabola in the form y-a=x...

Q: the number 2 part of this question wasnt solved

A: Since you have asked  multiple questions in single request  so  will be answering only first questio...

Q: Mean Value Theorem and graphs By visual inspection, locateall points on the interval (-4, 4) at whic...

A: Consider the given graph: Here, the objective is to locate all points on the interval (-4, 4) at wh...

Q: How do I solve this?

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Q: Find the maximum and minimum volumes of a rectangular box whose surface area equals 8000 square cm a...

A: Let the three sides or edges of the rectangular box be a,b and c in cm. Surface area of the box will...

Q: Estimating errors. Use the remainder to find a bound on the error in approximating the following qua...

A: The Function e0.25 and n=4.