Question 10 Given: y = xcos (x); Find y'". O(E) None of these Oy" xsin (x) + 2 cos(x) Oy" asin (x) - 2 cos(x) Oy"" = asin (x) - 3 cos(x) Oy" =rsin (r) + 3 cos(x) - sin(x)

Q: The graph of a function f is shown below. 6 -1 -2 1 Suppose the function g is defined as g(x) Fill…

A: In this question , we can find the limits of the function. Check when 'x' approaches to 'a' , the…

Q: Evaluate the following integrals. 2. √x* +5x³+ x+5x³+20x+16 x(x²+4)² dx

A: Solving

Q: Assume P and Q are points on the graph of the function y = f(x). If the a-coordinates of P and are a…

A:

Q: Find the area of the region under the graph of f on [a, b]. f(x) = x² - 6x + 13; [−1, 2]

A: To find the area of the region under the graph of f(x)=x2-6x+12 on the interval [-1,2].

Q: A polynomial P is given. P(x)=x^3+64 A) find all zeros of P, real and complex, B)factor completely

A: Explanation of the answer is as follows

Q: g(t) How many people contracted the lu 7. Suppose that f(t) is the rate at which snow is falling at…

A:

Q: . Given the fx²dx, which of the following is the integrand? C. x² A. 0 B. 2 D. dx

A: To determine what is integrand.

Q: Find the differential equation of the family of circles of fixed radius r with center on the x-axis.

A:

Q: How much money must be invested now at 10% interest compounded continuously so that $120, 000 will…

A:

Q: The graph of f is shown. Evaluate each integral by interpreting it in terms of areas.

A: answer is in next step

Q: Is the function a power function. If it is, write it in the form f(x) = kxP, and state the values of…

A:

Q: 5, i, Evaluate the first and second derivatives of the function z=2x4+3x3+2x-5 when x = 4.

A:

Q: Solve the triangle with the given information. a= 8.3, c= 2.8, p= 19.4° b 5.7 (Type an integer or a…

A:

Q: The function f(x) = 3 - 4x - 2x2 is shown on this graph. f(x) 6 + 2 그 What value of at corresponds…

A:

Q: 9 Use the second derivative test to find the location of all local extrema in the interval (4) for…

A:

Q: It is known that the area of a polygon with vertices (x₁, ₁), (x2, 12). (x, yn) is equal where we…

A:

Q: ام 1. ( - 3x2 + 5x - 7)dx

A:

Q: A company determines that its demand function is given by p(q) = -0.6q+1190 and that its cost…

A:

Q: The f cos 5x cos x dx is 1 {A} = sin 4x - 12 1 1 {B} sin 4x + - 8 12 cos 6x + C cos 6x + C {C} {D}…

A: Given problem:-

Q: Income flows continuously into a manufacturing company at the rate of 36, 450e 0.052t dollars per…

A:

Q: 12x + 625 The average cost for a company to produce x units of a product is given by the function…

A:

Q: a²z 0²z Determine + Ər² მ02 if z = tan-1 0 r + r r²+02

A:

Q: Let f(x) = 3x² - 9x + 11 The slope of the tangent line to the graph of f(x) at the point (2,5) is…

A:

Q: Problem 1: Obtain ODE by eliminating arbitrary constant A, B, and C y = Ae2x + Be + C

A:

Q: The Haycock formula for approximating the surface area S, in square meters (m²), of a human is given…

A:

Q: Find the indefinite integral. Solution in handwritten a. S dx sin x cos²x

A:

Q: Question If a brick is dropped from a height of 40 ft., its position after t seconds is given by the…

A:

Q: Question Use the binomial series expansion, 1 for the function f(x) (1 - 2x)² If necessary, round…

A: Let's find.

Q: ^ du 1 1+2 Sinn

A: Solving the given integral using the substitution method Also using the formula for the integration…

Q: 1 et f(x) = = . X Find the tangent line to the graph of the function at x = −1. y = 【 Find the…

A: Follow next step

Q: If |ū| = 4, |v|=5, |ū-v=6, determine |ū+ v.

A:

Q: Find the function f(x), such that f(x)= In(3x) J ƒ(1)=1.

A:

Q: /3 -π/4 (2cos x - 3csc² x) dx

A:

Q: analyze and trace the given curves y = x2 + 1 / x2

A: Explained below

Q: Find T, N and B for the curve F(t) = (2 cos(5t), 2 sin(5t), 3t) at the point t -0 Give your answers…

A:

Q: 5. y = 2 sin x y

A:

Q: Find the indefinite integral. Solution in handwritten. 1. secy (tany - sec y ) dy

A:

Q: 2. Let f be the function from {a, b, c, d, e} to {1,2,3,4} with f(a) = 3, f(b) = 1, f(c) = 2, f(d) =…

A: givenf(a)=3f(b)=1f(c)=2f(d)=4f(e)=2

Q: What two positive real numbers whose product is 22 have the smallest possible sum? The numbers are…

A:

Q: Perform the indicated operation if possible. If not possible, enter "DNE": 4 2 -51 0 -10 51 5 -4 -9…

A:

Q: Determine the behavior of the functions defined below. Note that it is common to write "g(z) → oo"…

A: The given function is;  g(x)=-10x3+5x2+5. Repost the next parts.

Q: For what values of x is the function f(x) = |x2 − 9| differentiable? (Enter your answer using…

A:

Q: thout eliminating the parameter t, find a Cartesian equation for the line tangent the curve C,…

A: Given the query is to find the equation of the tangent.

Q: 3. Evaluate the double integral: ²₂2(x+3) dy dx 4. Evaluate the triple integral: ₂ dx dy dz Z

A: Topic:- multiple integration

Q: Calculate the work expended when a particle is moved from 0 = (0,0) to Q = (4,4) along the segments…

A:

Q: How many terms of the series do we need to add in order to find the sum to the indicated accuracy? ∞…

A:

Q: 1) Calculate the following integrals 1_dx a) S 4x²+25

A: Given; I=∫14x2+25dx    .....(1)   As we know that; ∫1x2+1dx=tan-1x+C

Q: lim (cos(9x)) (+) x-0+

A:

Q: For two exclusive events A and B, P(A) = 0.2 and P(A U B) = 0.65 If the given information is shown…

A: Solved below

Q: The following is a graph of y = f(x) A= (0,8) You Select the correct graph for the following…

A: We have to find out the graph