Estimate the area under the graph of f(x) = x + 2x from x = 5 to x = 11 using the areas of 3 rectangles of equal width, with helghts of the rectangles determined by the height of the curve at (a) left endpoints ANSWER: Σ (b) right endpoints ANSWER: Σ

Q: Write out the first four terms of the series to show how the series starts. Then find the sum of the…

A:

Q: Find the Taylor polynomial p1 (x) for f(x) = 8x2 at x = 5. %3D Provide your answer below: P,(x) = O

A: To find the taylor polynomial p1(x) .

Q: The system is a two-dimensional coordinate system in which each point on a plane is determined by a…

A: To fill the gaps using the given options.

Q: B) Find the limits by using L.Hopital rule : 7x 1. lim x-0 sin 2x x2-16 2. lim X4 (Vx+5)-3

A: Using l hospital rule.

Q: If f(x) : = 4 In(x² + x + 1), at what value of X is f' (x) = 4? O a) -1 O b) 2 O c) o d) None of…

A: This question can be solved using the concept of differentiation of function of function.

Q: Find the area under the curve y = 6x° over the interval [0, 2]|

A:

Q: dy Find dx of æ³ – y? = 5 by implicit - differentiation and evaluate the derivative at this point:…

A: According to our guidelines, we can answer only one question or three subparts of a question, other…

Q: 3. The possition function s(t) = -1612 + 30t %3D Find : (a) average velocity over the time int erval…

A:

Q: (x+a)² 3. Let f (x) where a is a constant and a -1. (Note if a = -1, then f(x) is a line %3D x-1…

A:

Q: To find the distance across a small lake, a surveyor has taken the measurements shown. Find the…

A:

Q: You have been asked to design a rectangular box with a square base and an open top.The volume of the…

A:

Q: 5. Fill in the blank: For x, y ER. Equality in the Triangle inequality is satisfied, i.e. Ix+yl =…

A: x+y=x+ysquare on both the sides;(x+y)2=(x+y)2 x2+2xy+y2 =x2 +2xy+y22xy=2xyxy=xyis true only…

Q: x²y' + 2xy – 2y = 0

A:

Q: The line of intersection of the planes 2x +y - z= 4 and 4x – y+3z = 2 has equation %3D O a) (x, y,…

A:

Q: Question Find dy and evaluate when x = 3 and dx = –0.2 for the function y -2x2 + x - 4. Provide your…

A: We have to find the value of dy.

Q: 2.5 х2+3х-4

A: Given,  ∫ 5x2+3x-4dx

Q: Determine the intersection point of the two lines or show that they do not intersect. a. The line…

A: Given problem:- Determine the intersection point of the two lines or show that they do not…

Q: 4. (x² – 4)dx c2

A:

Q: Find the time required for an investment of $2500 to grow to $5500 at an interest rate of 5.4% per…

A:

Q: sinx 2 cos*x 4 - Cosx

A:

Q: Question Use the second Taylor polynomial for f(x) = e" at x = 6 to estimate e7. Round your answer…

A:

Q: An oil tank is being drained for cleaning. After t minutes there are Vlitres of oil left in the…

A: Determine the rate of change of volume at the time t = 10??

Q: Use the nth-term test for divergence to show that the series is divergent, or state that the test is…

A:

Q: Here is a related rates problem: All edges of a cube are expanding at a rate of 5 cm/sec. Let the…

A: We have to choose correct options

Q: Jessica is staying in a cottage along a beautiful and straight shoreline. A point Q on the shoreline…

A: Solution: Let Jessica start to swim after walking x km from the cottage as shown walking speed = 6…

Q: Let f(x) = (3x2 + 10x + 4)/(6 - 5x2). The horizontal asymptote is given by y = ? Round your answer…

A:

Q: Use the Quotient Rule to calculate the derivative for the function w(x) = at x = 4. Vx+x (Use…

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

Q: dx 4. S; x2Vx2-1

A: Given: I=∫dxx2x2-1   ...1 As we know that; The trigonometric identities; 1). sec2x=tan2x+1 2).…

Q: Find the smallest value of x for which the series Σ (x+101)" 2ln(n) n=2 is conditionally convergent.

A:

Q: t the end of 8 years, Beth will have approximately S Do not round until the final answer. Then round…

A: Use half yearly compounded formula.

Q: Consider the definite integral V11 dæ. - 2x -3 The most appropriate substitution to simplify this…

A: Solving

Q: Find all zeros of f(x) values, using radicals and/or fractions if necessary, not decimal…

A:

Q: 8. Let g(x) = x - 3x + 1. (a) Find and classify all critical points of g. (b) Find the absolute…

A:

Q: For the equation given below, one could use Newton's method as a way to approximate the solution.…

A:

Q: 1. Find the exact x-values of any turning points and the exact x-values of any points of inflection…

A: According to our company's guidelines I can only answer first question, since you have asked…

Q: Q3) A) If you have three functions: f(x) = x2 – x g(x) = 3x – 1 %3D w(x) = x2 – 2 So, find gof (x)…

A:

Q: QUESTION 10 Let D (x) = - 5x +7 and S(x) = 3x+ 1. Find the equilibrium point. 3.25 (-5, 32) (3, -8)…

A:

Q: 3. At 2:00P.M, a thermometer reading is 80°F is taken outside where the air temperature is 20°F. At…

A:

Q: a) Find the linear approximation of f(x) = Vx b) Use it to approximate V26.9 at x= 27 %3D

A:

Q: 439) Use the matrix capabilities of a graphing utility to solvecif possible) the systems of linedr…

A:

Q: Question Find the Taylor polynomial p3(x) for f(æ) = 5x1/3 at x = 3. Provide your answer below:…

A:

Q: Determine which graph corresponds to the area enclosed by the curves y = 3a and y = 2 + 2. 5- 8-…

A: Given the curves are  y=3x2 and y=x2+2.

Q: dx 4

A: Answer is in step 2.

Q: Sketch the region enclosed by y RV-eand r-1. Find the area of the region.

A: Region is bounded by the given curve y=e2x , y=e7x  and  x=1

Q: Write an equation for the lowest-degree polynomial function with the graph and intercepts shown in…

A: From the graph the zeros are -2, 0, 3.The equation of the function is given…

Q: quation and reduction to linear ec

A:

Q: 2. a) Determine the coordinates of all point(s) on the graph of y = 2x In x where the tangent line…

A:

Q: Question 1 Find the Maclaurin polynomial p3 (x) for f(x) 7x +3 Provide your answer below: P;(x) = D

A: To find the maclaurin polynomial of the given function.

Q: 2x and y 2x. Decide whether to integrate with respect to a or y. Sketch the region enclosed by y…

A:

Q: Find the general solution of the following linear second order inhomogeneous O.D.E.: ý - y = e*

A: