Let f(x) = 8x3 + x − 2. Find the derivative of f-1 by using the formula dy dx == 1 dx' dy — - and check your result by differentiating implicitly. (f-1)(y) = 1 24x2+1

Q: solve it y''+3y'+2y=cos(e

A: The given differential equation is

Q: Consider the area between the graphs x + 4y = 17 and x + 4 = y². This area can be computed in two…

A: 1. a=−4,b=5,c=45 f(x)=2x+2​. And g(x)=417−x+x+4​​ 2. α=−7,β=3 h(y)=−y2−4y+21 Area is…

Q: 1. Evaluate the following definite integrals: 2 b) 3x3 (3x4 - 2)5 dx re-(z2−1)/2 dx

A:

Q: 3 In the study of a nonlinear spring with periodic forcing, the equation y" + ky + ry³ = A cos ot…

A: The objective of this question is to find the first three nonzero terms in the Taylor polynomial…

Q: 11. A snowball melts so that its radius decreases by 0.2 cm/min. Find the rate at which the surface…

A: A snowball melts so that its radius decreases by 0.2 cm/min. To find the rate at which the surface…

Q: Find the y-coordinate of the point of diminishing returns for the following logistical growth…

A:

Q: Find the vector given that its magnitude is 10 and it makes an angle Ov=-51+5√√3 0 = 51 +5√3…

A: The objective of this question is to find the vector given its magnitude and the angle it makes with…

Q: pls solve

A:

Q: solve the non-homogenous equation y” – 2y’ = t + e^t

A: The given equation is a non-homogeneous second order differential equation. The general solution of…

Q: Given that y = mx - 8 is a tangent with a positive slope, to the function f(x) = x²-6x + 8, find the…

A:

Q: Gravel is being dumped from a conveyor belt at a rate of 50 cubic feet per minute. It forms a pile…

A: Given:Base diameter and height are always equal.

Q: (6) Find дл ду : ye+sin(2)=423 (8 points)

A: Explanation is given below:Explanation:

Q: Rather than the linear relationship of Eq. (1.7), you might choose to model the upward force on the…

A: The objective of the question is to derive a closed-form solution for the velocity of a parachutist…

Q: 6. A lamina that occupies the region D bounded by x = 1-y² and the coordinate axes in the first…

A: (a). The mass of the lamina is 41​.(b). The center of mass of lamina is given…

Q: Given the function f(x) = 10 log(x + 3), find the area of the region bounded by the graph of y =…

A: Given: To Find: To find the area of the region bounded by the graph of , the x-axis, and the line .

Q: Question: d/dx (x^lnx) = ? Pls help me w this ques. Use detailed steps and explaination. Thank you.…

A:

Q: lim Evaluate: √6 I 1 √9- x-2 == help (limits)

A: The answer is 2.Explanation:

Q: Sketch the solid whose volume is given by the iterated integral. 1 (7-x- - 3y)dx dy 10 Describe your…

A: The given integral

Q: Given that vectors = (5,-3) and (2,-5) are orthogonal; find the value of 3 0 2 03 O −15 O −3 O 15 O…

A: x = -3 is the answerExplanation:

Q: Let f(x, y) = 4x² + e¯y². Find critical points and classify them as local maxima, local minima,…

A:

Q: 8) Suppose you are at the point (2, 1, 82) on the hill given by f(x,y) = 100-4x²-2y (where the z…

A: The objective of the question is to determine the direction and rate of change of the elevation of a…

Q: Calculate the average rate of change of the given function over the given interval. Where…

A: The objective of this question is to calculate the average rate of change of a function over a given…

Q: Find the equation of normal to the function f(x) = x³ - 3x + 1 at its local maximum point.

A: The objective of this question is to find the equation of the normal line to the given function at…

Q: 7

A: The value of m = 2 so that the given matrix C is not invertible.Explanation:

Q: Assume a local community has an initial population of 40,293 and is growing at the rate of 2.4% per…

A:

Q: hello can someone please help me with this calculus question, thank you!

A: The objective of this question is to determine the values of p for which the series Σ (from n=1 to…

Q: Precalc Question

A: The objective of this question is to analyze the function f(x) = (x^2 - x - 6) / (x^2 - 4) in terms…

Q: If f(x) = 2. e*, find f'(1).

A: given function

Q: [1] dx (25+x²) 2 hint: use trigonometric substitution

A: Step 1:

Q: The line L₁ passes through the point P(-5, -3) and it is tangent to the graph of y = (x+3)27. The…

A:

Q: If f'(x) exists on both sides of a critical number c, the sign of f'(x) can be used to determine…

A: We check local maximum or minimum using first derivative test.

Q: All graphs/sketches must be accompanied by all algebraic work as per the Curve Sketching Algorithm…

A: all answers are explained below in detail. Explanation:

Q: 3. A) www Find the circulation of F = -yi + x²j + zk around the oriented boundary of the part of the…

A: The objective of the question is two-fold. First, we need to find the circulation of the given…

Q: Find the derivative of the function. g(t) = 1² - 3 g'(t) =

A:

Q: Given vectors = (2,-4) and = (-5,1); find the dot product - v 0-28 O-14 0-13 0-6 06 O None of the…

A: The objective of this question is to find the dot product of two given vectors v1 = (2,-4) and v2 =…

Q: Given vector = 5i + 10j, which of the following is a vector that is orthogonal to ?

A:

Q: Find the indicated partial derivative. R(s, t) = test; R(0, 4) R₁₂(0, 4) =

A: Final answer: Hence we getRt​(0,4)=1 The partial derivative Rt​(0,4) of R(s,t) with respect to t at…

Q: I 5π 9 Determine all solutions to the equation cos(3x)= x= 60 7元 √3 over the interval [0,2π). 2 11T…

A:

Q: Find the critical points for the function 3 - f(x, y) = x³ + y³ − 6x² - 27y – 10 - and classify each…

A:

Q: ABC is a triangle with AB = 12, BC = 8, and AC = 5. Find cos(A). Note: You are being asked to find…

A: The objective of this question is to find the cosine of angle A in a triangle ABC, given the lengths…

Q: How does y= sin x compare to y= cos x in terms of transformation (explain) convert • f(x) = Cos…

A: 1. To understand how y = sin x compares to y = cos x in terms of transformation, we need to analyze…

Q: Find the first four nonzero terms of the Taylor series for the function f(x) = 12 11 - x about 0.…

A: we need to find out the first four non-zero terms of the Taylor series atx=0.

Q: Find the Taylor polynomials of degree 3 approximating the function √25-3x for x near 0. P3(x) =

A:

Q: Question 8 11a. At the end of summer Sally empties her pool. The depth of the water in the pool, h…

A:

Q: Q1 C7

A:

Q: Find the area of triangle XYZ if ZY = 30°, z=9 and x = 5.

A: For given triangle XYZ∠Y=30∘.z=9 and x=5.

Q: Given sin(x) = =- -2√17 O 81 -16/17 о 81 -8√5 O 9 16/17 0 81 2/17 81 89 with 180° <x<270°. Find…

A:

Q: II) For the following exercises, find zeros and its multiplicity of the polynomial functions. 1.…

A: The answers have been provided.Explanation:

Q: 19

A: The answers have been provided.Explanation:

Q: Evaluate the limit x²+0x-9 lim 2-3 Enter I for ∞, -1 for -oo, and DNE if the limit does not exist.…

A: