Let f be the function defined as follows. 10x2 + 2 y f(x) %3D X + 3 (a) Find the differential of f. dy = (b) Use your result from part (a) to find the approximate change in y if x changes from -1.4 to -1.27. (Round your answe four decimal places, if necessary.) dy = (c) Find the actual change in y if x changes from -1.4 to -1.27 and compare your result with that obtained in part (b). (Re your answer to four decimal places, if necessary.) Ay = Compare your result in part (c) with that obtained in part (b) by calculating the absolute value of their difference. (Ro (d) your answer to four decimal places, if necessary.) Idy - Ayl =

Q: cosx dx sin²x-5sinx-6

A: Find your answer below

Q: Activity 2 Differentiate the following. 1. y = sin(6x) 2. y = sin (5x – 2) 3. y = tan (2x³ + 5) 4. y…

A:

Q: 7. Find A + 5B 8. Find 2A - C 9. Find 7C - 5D

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: Find the equation of the tangent line at the given value of x on the curve. y° +xy² -61=x+3y°; x:…

A:

Q: 1 1+x3

A: ∫11+x3dxSince a3+b3=(a+b)(a2-ab+b2)∫1(1+x)(1-x+x2)dx

Q: Find the point on the line y = 1 – 6 that is closest to the origin. Give your answer in the form (a,…

A: We have to find a point on line which is closest to the origin.

Q: х—1 dx x4-1

A: Solution of question is written in below steps.

Q: 4.7.8

A:

Q: Write the equations in cylindrical coordinates. (a) 7x2 - 8x + 7y2 + z2 = 7 (b) z = 2x2 – 2y²

A: We have to find cylindrical form of the given equation.

Q: 6.26. у - 3у %3D0

A:

Q: Find the volume of the solid that results when the region enclosed by 4x 0, x = 1, and y = 0 is…

A:

Q: 4 + 9x is x2 The antiderivative of the function f(x) %3D

A:

Q: Vx+5-3 lim X→4 х—4

A:

Q: Consider the following. x - 2 f(x) = x2 - 4 (a) State the domain of the function. O all real numbers…

A:

Q: COSX - dx sin²x-5sinx-6

A: The integral is given by I = ∫cosxsin2x-5sinx-6dx                             ...........1

Q: Line integrals: 1) Evaluate the following line integral:S, (x² + y² + z²) ds where Cis parametrized…

A:

Q: dy Differentiate implicitly to find 6 5 3) x y+9x = 6y +4 dy

A: A detailed solution is given below

Q: dy Find dx by implicit differentiation for the following equation. 2.5 x+ In y =x dy

A: We have to find dy/dx for the given function.

Q: The graph of r = -9 cos e has which of the following characteristic: O circle; diameter of 9; center…

A:

Q: Question 10 bounded by the curves Let D be the region y = 72-x², x= 1 and y=x 2 a) Draw the enclosed…

A:

Q: 6. S COSX dx sin2x

A: Solving the problem by finding the value of the integral.   NOTE :: As per our Expert guidelines we…

Q: Determine whether the planes are parallel, orthogonal, or neither. 2x - 10y - 2z - 1 2x - 10y - 2z =…

A:

Q: Suppose that a particular function f satisfies f" (x) = 12x? + 6x + 8, ƒ(0) = 1, f' (0) = –1. Then…

A:

Q: a) Find the second and the ninety-seventh term of the sequence 8 15 22 29 ( 18' 33' 48 ' 63 the…

A:

Q: T/3 sin x dx COsx -1

A: I have stated the used formulas in the solution.

Q: Evaluate the definite integral: 3 dr 3

A: We need to evaluate the following integral ∫13x3-3xdx

Q: find the intervals where the function is BOTH decreasing and concave up. f(x) = (x^3) - (7x^2)-5x+9

A:

Q: Find the determinant of the matrix by taking the minor and cofactor of the elements in the second…

A:

Q: Given the following matrices: 8 3 2 3. -3 0 4 1 2:C= 4 -1 2 A=5 6 3 1 0 -2 %3D 3 5 2 -3 2 5 3. Find…

A:

Q: Use the quotient rule to prove the derivative of: [Hint: change into sin x and cos x and then take…

A:

Q: lim X - 9 3

A: Solving the problem by finding the value of the limit.   NOTE :: As per our Expert guidelines we are…

Q: Find an equation of the plane with the given characteristics. The plane passes through the points…

A:

Q: Let A = and B = . Determine the following: (d) A x B (e) two unit vectors perpendicular to B and A

A:

Q: In Exercises 5 through 14, let A = (-4, –2, 4), B = (2,7, –1),c= (6,-3,0), and D= (5, 4, -3). 5.…

A:

Q: In Exercises 19 through 22, find the direction cosines of the vector V(P,P2) and check the answers b…

A: Since you have posted multipart questions i can do first three subparts as per our company…

Q: 12x Find a power series for f(x) = |x| an. (x2 + 1)? n=1 -1 Hint: First, find the power series for…

A:

Q: If f(x) dx = 2 and f(x) dx = 7 then f(x) dx equals a -4 b. 4 -5 O O O

A:

Q: dy 7. S- y vy2 -6y + 5

A: Here we have to integrate the given Integral.

Q: Test the series for convergence or divergence. (-1)" + 1 2n4 n = 1 converges O diverges If the…

A: See the answer below

Q: Find the absolute maximum value of f(x) = x² – 2x + 12 over the interval [0, 5]

A:

Q: 5) S V2 + sin 3t · cos 3t dt

A:

Q: sin(z) Find the derivative of the funciton F(x) = In(1 + 6v) dv. F'(x) =

A:

Q: Use the shell Method to find the volume of the solid generated by revolving the area bounded by the…

A:

Q: For each sign chart for f'. Carefully sketch the graph of both functions f and f'. Upload your work…

A:

Q: If f (x) dx = 5, | f (x) dx = 3, and f (x) dx = 12, then f (x) dx :

A:

Q: 13. Prove that the three points (-3, 2, 4), (6, 1, 2), and (-12, 3, 6) are collinear by using the…

A: To solve the following problem

Q: (会 lim 4x - 1 Find a. 2x + 5 lim 3x + 5 - 6x - 8 2x lim b. Evaluate + x - 12

A: a) limx→-∞4x-12x+52b) limx→-22x-6x2+x-12+limx→∞3x+56x-8

Q: 27. Given the points P(5, 2,-1), Q(2, 4,-2), and R(11, 1,4). Find a unit vector whose…

A:

Q: can you please and write and understand text

A: Apologies for the inconvenience. Here is the solution with improved explanation.    From the graph,…

Q: Suppose f(-1) = 7, f'(-1) = 6, and g(x) = r*f(x). %3D The tangent line to g(r) at x = 1 is given by…

A: