Use a finite sum to estimate the average value of f on the given interval by partitioning the interval into four subintervals of equal length and evaluating f at the subinterval midpoints. f(x) =x° on [2,4] The average value is (Type an integer or a simplified fraction.)

Q: 5. cot Because the terminal side of 4 lies in Quadrant IV, the reference angle e' is 2n -= The cotan...

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Q: Evaluate the integral 3sin^2(t)cos^4(t)dt, from 0 to pi.

A: Given problem:- Evaluate the integral 3sin2(t)cos4(t)dt, from 0 to pi.

Q: Suppose that your best friend has calculated the partial derivatives of a given functionf(x,y)and to...

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Q: 2. Solve each of the following using graphing calculator for 0Sx< 2n. Round to two decimal places. F...

A: Topic:- trigonometry

Q: 0.7 b3 a Use the fact that x dx =- 3 where a < b, to evaluate the integrals° ds. 3 a 0.7 The value o...

A: Calculate the value of integral of s2 from 0 to 0.7 . 

Q: VE-Vyt1 Let f : ACR² →→ R be given by f(x, y) I-y-1 Write, if any, the limit below to 4 decimal plac...

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Q: 1. The function h is defined for all real numbers except x = 5. 2. The function h is defined for all...

A: Note: As per our company guidelines we are supposed to answer the first three sub-parts of the quest...

Q: able of values to estimate the value of the limit (correct to three decimal places). If you have a g...

A: Please refer to the image below

Q: 81. What is wrong with the following calculation? 0 =0 +0 + 0 + ... = (1 – 1) + (1 – 1) + (1 – 1) + ...

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Q: exercise

A: Please refer to the image below 

Q: Consider the following equation. y = x4 + 9e* Find y'(x). y'(x) = Find equations of the tangent line...

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Q: f(x + h) – f(x) f'(x) = lim h-0 %3D h bsnd Diffeentinble A) 7xh2 B) 9x2h C) 5x2 D) 9x2 5) Given (x")...

A: Given that: 4. f(x+h)-f(x)=9x2h+7xh2+5h35. (xα)'=αxα-1

Q: 15 4 -5 -4 -3 -2 -1 1 2 3 4 5 -2 -3 -4 -5+ Write an equation for the function graphed above

A: NOTE: Refresh your page if you can't see any equations. . as we can see, the graph has a cubic behav...

Q: Evaluate. V3 sin 士 %3D 2 + = [Select] a = [ Select ] b = [ Select ]

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Q: п-1 Given the series n=1 Does this series converge or diverge? O diverges O converges If the series ...

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Q: se a definite integral to find the area of the region between the curve y = 12x and the x-axis on th...

A: Given query is to find the area under the curve for the function.

Q: Find the difference quotient and simplify. f(x) = -9x-2x+6 %3D The difference quotient of f (x) is

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Q: 11) lim -3sin (x)= X→ +∞ A) 0 B) +o C) DNE D) 1 12) Use SPECIAL LIMITS and SQUEEZING THEOREM to find...

A: We expert are following guidelines.We are supposed to do first question. Kindly repost the second qu...

Q: The population, y(t) (in thousands) of rabbits on an island has an intrinsic growth rate of 28% per ...

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Q: a quadratic function f is given  f(x)=-4x^2-12x+1  a) express fin standard form  f(x)= b) find t...

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Q: In which quadrants is tan(6) positive? (Select all that apply.) O Quadrant I OQuadrant II O Quadrant...

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Q: Find the following using the table below. 1 2. f(x) f'(r) 4 2. 3 4 3 2 4 3. g'(x) 4 3. 1 h'(4) if h(...

A: Topic:- function and it's Derivatives

Q: a The integral that represents the length of the curve 7(t) = (2/t, cos (2t3/2), sin (2t3/2)), where...

A: length of curve

Q: Solve each triangle. Round answers to the nearest tenth. 9) 10) 12 13 31.9 B. 14 12) 11) 39 12.6 47 ...

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Q: Sketch the graph of a function f that is defined on R and continuous exXcept for the stated disconti...

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Q: Question 2 Let a be a real valued constant. Find the derivative with respect to x: Y = 4ae 1-4ae4z O...

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Q: ch triangle. Ro A 13

A: Since we are given with the multiple number of question and our guideline is solve first question on...

Q: (a) If f(x) = x* + 3x, find f'(x). f'(x) = (b) Check to see that your answer to part (a) is reasonab...

A: Given: f(x)= x^4+3x f'(x) means  we have to find derivative  So, the derivative of f(x)  f'(x)= 4x^3...

Q: Σ6 Given the series 2 k=0

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Q: (x) dæ + f(x) dæ - f(x) dx 2. can be written as a single integral in the form | f(x) dæ Determine a ...

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Q: co) = * a sin-1 =+= COS 6.

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Q: y = x^2 + 2 and y =sin(x

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Q: Use the Linear Approximation to estimate Af for f(x) = - when a = 2 and Ax = -. 5+x2 (Use decimal no...

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Q: X +729 If k(x) = complete the table and use the results to find lim k(x). X-9 x+9 -9.1 - 9.01 -9.001...

A: NOTE: Refresh your page if you can't see any equations. . take x=-9.1 . take x=-9.01

Q: 1. Express as a single logarithms and if possible simplify. loga 75 + loga 2 ½ log n+ 3 log m

A: We can solve the two subparts as below.

Q: Solve the equation. Write the solution set with the exact solutions. 8 log, (7p-5)-4= 28 If there is...

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Q: Use long division to divide. Express any numbers as integers or simplified fractions. (6+2,+ 19x- 14...

A: Divide by long division method .(x5+2x4+19x2-14x+45)/(x2+5) 

Q: Find the points on the curve y = 2x + 3x2 - 12x + 7 where the tangent line is horizontal. (х, у) %3D...

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Q: Section 4-7 : Triple Integrals in Spherical Coordinates 7. Evaluate the following integral by first ...

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Q: 8. The manager of an appliance manufacturing firm determines that when toasters are priced at p doll...

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Q: Use properties of limits to find the indicated limit. It may be necessary to rewrite an expression b...

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Q: You and a companion are driving a twisty stretch of road in a car with a speedometer but no odometer...

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Q: Question 11, 3 Use the properties of limits to help decide whether the limit exists. If the limit ex...

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Q: The indicated function y1(x) is a solution of the given differential equation. Use reductic -SP(x) d...

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Q: calculate the mass of the surface, knowing that the density at each point is proportional to the dis...

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Q: Find the limit. (If an answer does not exist, enter DNE.) 2 - 81 lim t--9 2t2 + 19t + 9

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Q: A trough is 12 feet long and 3 feet across the top (see figure). Its ends are isosceles triangles wi...

A: This question can be solved using rate of change of quantities.

Q: Solve the following differential equations. Indicate the (Differential Equations) method/s used at t...

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Q: Evaluate the definite integral: (4x – 4) dz

A: Evaluate the definite integral

Q: Find the slope of the secant line in red. 104 (3, 8) (1,2) -10 -6 6. 8: 10 -6- -8+ -10 The slope of ...

A: Slope of a line having coordinate are (x1,y1) and (x2,y2) is  Slope = (y2-y1)/(x1-x1)