Evaluate the integral: cos(In x)dx SHOW WORK.

Q: Find the derivative of the following using General Rule. 7) y = vt3 8) f(x) = 6 + %D 5 1 9) y =- + 2…

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Q: to double? Us Find the inverse of f(x) = log, (3a + 1) +2 The

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Q: Use Theorem 9.11 to determine the convergence or divergence of the p-series. 1 1 1 + 3/ + + .... 4…

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Q: (a) Find f,(1, 4) and f,(1, 4). ,(1, 4) = (1, 4) =

A: By our policy we are allowed to solve one question at a time and maximum three subpart. So here I am…

Q: Evaluate the iterated integral. (Use symbolic notation and fractions where needed.) y dx dy =

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Q: Compute the surface area of revolution about the x-axis over the interval [3, 6] for y = 4x + 5.…

A: The equation of the curve is given by y = 4x+5 Formula Used: S = 2π∫36y1+dydx2dx To evaluate: The…

Q: The graph of a function h is shown below. Find h(-2) and find one value of x for which h(x) = -1.…

A: h(-2) =3 h(0) =-1

Q: The following is the graph of: 十- 2元 2元 3 2 3 2. R一6 R一3

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Q: The function f(x) = x^3 + bx^2 + c has a critical point at (-2, 6). Determine the value of b and c.

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Q: dy You need not expand your answer. dx Calculate y = (7x0.5 – x2)2

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Q: 4. Sx 2* dx

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Q: 4. The population A (in thousands) of Atlantic City in 2014 was 39,521. In 2018, the population was…

A: We need to find population model and solve.

Q: Given the initial-value problem y'+3x 2y, y(1) = 0.2, %3D use the Euler's method to obtain an…

A: Euler method states that yn+1=yn+hfxn,yn  where xn+1=xn+hOption (b) is correct.see below the…

Q: Find PH)

A: inverse laplace transform of  1s2+s

Q: 1-3x (ii) Find the values of A, so that the function f(x) = Ax +2x-3 24 continuous for all values of…

A: answer is in next step

Q: Advertising You are the marketing director for a company that manufactures bodybuilding supplements…

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Q: Find the curl of the vector field F=(2xyz, -xy,-z^2)

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Q: Let f be the function x + 9 for x 2 Find the value of c that makes the function left-continuous.…

A: This question can be solved using the concept of left and right continuity.

Q: Consider the function f(x) = 3 – 6x, - 3 < x < 1. The absolute maximum value is and this occurs at x…

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Q: Simplify your answer. HINT [See Examples 1 and 2.] dy dx Calculate y = x³(4 – x²) dy dx II

A: We need to find derivative.

Q: Find the area of the triangle with vertices P(1, 2, –4), Q(0,0,0) and R(3, 4, 1). NOTE: Enter the…

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Q: Consider the table below for lim (f(n). f (n) 510.5 1022 510.9 5110 510.99 51100 510.999 511000 Step…

A: Find your answer below

Q: For each problem, find the volume of the solid that results when the region enclosed by the curves…

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Q: Consider the Initial Value Problem: y = y + 3x – 5, y(1) = -2. An approximation of y(1.2) with step…

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Q: Find Vf at the given point. f(x,y,z) = ex+Y sin z+ (y + 1) cos "x, Vf i+ 0,0, (Type an exact answer,…

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Q: Consider the function 70 - 3 f(x) = 22 — 2х — 63 Find the vertical asymptotes of f(x). Separate…

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Q: The function f(x) = 2x – 33x + 60x – 8 has two critical numbers. The smaller one is x = and the…

A: To find the critical point use the differentiation .

Q: For each problem, use the method of cylindrical shells to find the volume of the solid that results…

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Q: Use spherical coordinates. Find the volume of the part of the ball p s 4 that lies between the cones…

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Q: dy Find by implicit differentiation. dx - 20x = 20 - eY dy %3D dx (Type an exact answer.).

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Q: Determine the domain of the function. f(x) = In (81 – x²) - (Give your answer as an interval in the…

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Q: The formula A = 24.2 e 0.0786t models the population of a US state, A, in millions, t years after…

A: As per our guidelines we are supposed to solve only one question i.e. the first one. For the…

Q: Find the equilibrium point for the supply and demand functions below. Enter your answer as an…

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Q: Find the limit. 6x +2 lim 13x 9 > Next Question

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Q: An ellipse has foci at the points (-10, 1) and (6, 1) and one vertex at (10, 1). Find the point on…

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Q: Use the Ratio Test to determine the radius of convergence of Vn - 12" n= Then determine whether the…

A: radius of convergent

Q: The supply function for a certain size boat given by p= 430(2") boats, where p dollars is the price…

A: Solve the equation for the given value of p.

Q: Given a Bernoulli's equation dy + 3ry = 2y, dz from applying proper substitutions, we obtain the…

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Q: Let f(x) 2x3 + 9x2 108x – 5. Calculate the derivative f' (x) = Calculate the second derivative…

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Q: 5x dV, where E =    (x, y, z) | 0 ≤ y ≤ 2, 0 ≤ x ≤  sqrt4-y^2, 0 ≤ z ≤ 6y   evaluate triple…

A: Answer is 60

Q: Find the area under the curve f (t) = 3 − x2 + 5x from x = −2 to x = 4 .

A: Find the area under the curve f (t) = 3 − x2 + 5x from x = −2 to x = 4 .

Q: Assume that x and y are both differentiable functions of t and are related by the equation…

A: topic - derivative of a function

Q: 4. When the graphs of two functions intersect the angle of intersection is defined as the angle…

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Q: Wind Chill Factor A formula used by meteorologists to calculate the wind chill temperature (the…

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Q: Question 30 a) If the the average value of the function g(a) 6a-3a over the interval 0,is given as…

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: dy Find by implicit differentiation. dx 8x? = 5 - ey dy %D dx (Type an exact answer.)

A: Consider  8x2=5-ey

Q: Ilu ne mervais OT wiiich the function is increasing or decreasing. f(x) = 2x° +3x- 12x+ 17 .... List…

A: Given query is to find the interval where function increasing and decreasing.

Q: For each relation, decide whether or not it is a function. Relation 1 Relation 2 Domain Range Domain…

A: For 1st question, Relation 1  Image of every element is unique hence relation is function.

Q: Given the following function: 5x? + 4 f(x) = %3D 2x + 10 Step 2 of 2: Find f(3) – f(4).

A: find f(3)-f(4)

Q: dy Calculate Simplify your answer. HINT [See Examples 1 and 2.] dx 2х + 6 y = 5х — 1 dy %3D dx

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