1. Use the midpoint rule with n = 6 to estimate the value of the integral (x³ + x)dx. 2. Write the given (total) area as an integral.

Q: Find an equation of the tangent line to the graph of the function at a given point. Note: You may/ma...

A: Equation of tangent at point a,b with slope ,dydx.y-b=dydxx-a1. y=6x2+1    ; 1,3dydx=6×-1x2+12×2x=-1...

Q: Find the area of the shaded region in the given graph.

A: This question can be solved using the concept of area under curve using definite integral.

Q: Find the total differential dw. 1 5. w = x tan¬' y – 2ªyz -

A: Solved below

Q: Solve the differential equation with appropriate method. Express final answer free of fractions and ...

A:

Q: rectangular carpet has an area of 220 yd^2 .The width of w is 9 yards less that the length l.find th...

A: Options are wrong I have given you correct answer

Q: You are an accountant for a manufacturer of radios. The demand function for the tablets is p =40 − 4...

A:

Q: Suppose f(x) (x + 5)(x + 2)(x + 1) a. Determine the roots of the function f. Preview b. What is the ...

A:

Q: Find dy/dx, using implicit differentiation. e*y – y = 8 Implicit Differentiation: dx Compare your an...

A:

Q: The differentiable function  f  is such that for all  x  with  3 ≤ x≤ 7 , we have  4 ≤ f'(x) ≤ 6...

A:

Q: Evaluate the integral V5+ 12x? - 4x xdx O 1 (2x2 – 3)/5+12x² – 4x4 + 14Arcsin V14(2x² – 3) +C 14 -3)...

A: Using integration of square root of a2 - x2

Q: 7Q b) TR = (Q+3)

A:

Q: 8. Detemine the area of the region enclosed by the curve y = x +4 and y = x+4. %3D

A: The given curves y=x2+4 and y=x+4  

Q: The graph of the derivative of a function f is shown. Determine the x-coordinates of all stationary ...

A:

Q: •tan(e-x) Given: ex Find: du exdx e-*dx - exdx O -e-*dx

A:

Q: Evaluate the integral SV5+12x² – 4xª xdx 1 -(5+ 12x² – 4xª) ² +C 24 (2x2 – 3)/5+ 12x? – 4xª + 14Arcs...

A:

Q: The cost function for a certain commodity is C(q) = 87 + 0.14q − 0.007q2 + 0.0002q3.   (A)  Find  C ...

A: The cost function for a certain commodity is C(q) = 87 + 0.14q − 0.007q2 + 0.0002q3

Q: Given: x² dx Find: Formula 1 o fe'du

A: Given problem:-

Q: Use sigma notation to write the Taylor series about x = xo for the function. e; xo = 10 O 00 e10 E* ...

A:

Q: Given: x2 dx Find: Formula o fa"du q"du o fe"du "du

A:

Q: Discuss the continuity of the function g(x) = 1/(x^2-4) on the interval (0, 2] and [−1, 3].

A:

Q: Part of the piecewise-defined function - (I – 5) +3 if 4< ¤ < 7 f(z) = bif =7 MI if 7< I < 14 is ske...

A: NOTE: Refresh your page if you can't see any equations. . the function is continuous on the interval...

Q: Calculate the Taylor polynomials T2(x) and T3(x) centered at æ = 8 for f(x) = In(x + 1). T2(x) = In ...

A: Please see the below picture for detailed solution. 

Q: зах X-Vx

A:

Q: k! Σ 4k k=0 10

A:

Q: From the definition of the derivative of f(x) as f (x+h)- f(x) f (x)=lim h→0 h derive a formula for ...

A:

Q: Evaluate /| F - d5 , where F = and S is the helicoid with vector equation r(u, v) 0 < u < 4, 0 < v...

A:

Q: A particle moves according to a law of motion s = f(t) t > 0, where t is measured in seconds and s i...

A:

Q: Csc- X S- /cor?(x)- acot(=x) + 4 Given: dx cot(슬x)+.

A:

Q: c. What is the height of the object at the highest point? d. When does the object strike the ground?...

A:

Q: Evaluate csc?x cot(cot x) dx. O- csc?(cot x) + C O cot(csc? x) + c O -In |sin(cot x)| +c O In sin(co...

A: Given query is to find indicated integral.

Q: Given: cos(cos2x) sin2x dx Find: du O 2sin2x dx -2sin2x dx O -2cos2x dx 2cos2x dx

A: Given that ∫cos cos 2x sin 2x dx  -(i)Our Aim is to find the value of du=?

Q: Find the relative maxima and relative minima, if a does not exist, enter DNE.) f(x) = 3x - 10x³ + 10...

A:

Q: 3 sin? 4t + 8 cos² t

A: Solution: L{3sin24t + 8cos2t} Use the following identity : sin2x=12-cos(2x)12 =L{312-cos(2·4t)12+8co...

Q: t f be a function that is concave up everywhere. Suppose we would like to use the tangent line at x=...

A: If f is concave up so f''&gt;0 and follow step 2nd . 

Q: Find the rate of change of the volume of a cube with respect to the length of its side s when s =3 ...

A:

Q: 6. Which of the following is not true about function? a. Function is composed of two quantities wher...

A:

Q: 1 8. If y = 1+ a) Prove that y' = 0. b) What kind of functions have derivative 0 ? c) You can actual...

A:

Q: Maximize f(x,,x,)= 24x, – x' +10x, – x %3D subject to *; 58 X, 54 x, 2 0, x, 20 and

A:

Q: SV + 2) /2 – 3y dy -

A: The detailed solution is given below Thank you 

Q: Given: 5e-x-6e-3x Find: u O 5e-x - 6e-3x 5e2x – 6 5-бе-2х V5e-x - 6e-3x

A: ∫ex5e-x-6e-3x3dxSubstitute v=ex→dvdx=ex→dx=e-xdve-3x=1v3e-x=1v=∫15v-6v33dv

Q: Express the general solution in terms of Bessel functions: 4x?y" – 4xy/ + (16x² + 3)y = 0

A:

Q: HON 3 tan(e-*) dx Given: ex Find: du O e-*dx O -e-Xdx exdx O - e*dx

A:

Q: Evaluate the integral S/5+12x² – 4xª xdx (5+ 12x2 - 4x9) +C (2x2 - 3)W5+12x? - 4xª + 14Arcsin - 4xª)...

A: We can evalaute the integration as follows:-

Q: Find equations of the tangent plane and the normal line to the given surface at the specified point....

A: Solved below

Q: * Find the centroid of the area bounded In x by y = the x-axis. and the moximum ordinate revolved ab...

A:

Q: y = log( cos

A:

Q: dx Sz Given: 2x - 3xlnx Find: du 3 dx dx dx X dx

A:

Q: In3 ex i. dx In2 4- ex i. X/16 - Inx e 1 iI. i xInx In2 1 dx Ino.5 e2x + 1 iv.

A:

Q: 1 Evaluate the integral I+2/3 dr.

A: We have to find value of given indefinite Integration.

Q: Which of the following limit theorem used for transcendental functions is wrong? 1 O lim COS T | O l...

A: topic - limits