y = In[sin(x + y)]

Q: A circle has an initial radius of 50 ft when the radius begins decreasing at the rate of 5 ​ft/min.…

A: A circle has an initial radius of 50 ftThe radius begins decreasing at the rate of 5 ​ft/min

Q: at the point (0, 1/2). and b = The equation of this tangent line can be written in the form y = mx +…

A: y=1/[3sinx+2cosx]Point (0,1/2)

Q: Consider the following integral. ƒ(9e¹) e* dx By making an appropriate substitution, the above…

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Q: cos(3x) = ² √2 2

A: Given that expression we have to find a solution

Q: Solve the matrix equation for the unknown matrix X, or explain why no solution exists 19. 1/5(X+D)=…

A: (1/5)(X+D)=C Multiplying both sides by 5, (X+D)=5CSubtracting matrix D from both sides, X+D-D =5C -D…

Q: Suppose that we're making and selling some widget and the cost (in dollars) when making a widgets is…

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Q: 3/4 Find the cost function if the marginal cost function is given by C'(x) = x C(x) = +5 and 16…

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Q: a 10, b = 8, c = 7

A: To solve the following triangle.

Q: 2. Show that the series converges by the Alternating Series Test (two conditions). Then find how…

A: The given series is

Q: Find the equations of the tangent and normal lines to the graph of the function at the given point.…

A: The equation of the tangent line  to the curve y= f(x) at x= a is  The equation of the normal line…

Q: 4x (11 + x) Find the first few coefficients. Suppose that CO C1 = C2 = C3 = C4= ∞ n=0 Cnx". Find the…

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Q: Which of the following represents the limit definition of the definite 16 integral 26 4x5 dx using a…

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Q: 8 7 5 3 2 1 0 1 2 3 (a) The integral f's f (x) dx -f(x)- 4 5 f (x) dx. Round your answer to the…

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Q: A stone is dropped from the upper observation deck of a tower, 500 m above the ground. (Assume g =…

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Q: Use the information given below to find sin(a-B). tan a = with a in quadrant 1 12 5' sinB =15, with…

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Q: Estimate the average value of the function between x = 0 and x = 7. 3 لیا 2 1 N - 1 2 3 The average…

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Q: 3. Use the figure to answer the questions. B M Answer: D C (a) Which pair of corresponding angles do…

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Q: tan (x) = sin(x)

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Q: Find the slope of the tangent line to the graph of the polar equation at the point specified by the…

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Q: 2 T If f sin (3 x) sin (n x) dx = π, then n = 0 Number

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Q: Let g(x) = 6e* Determine the most general antiderivative of g. [6e²dx = [

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Q: Evaluate the integral: 0 x = (A) Which trig substitution is correct for this integral? Ox= 16 sin(0)…

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Q: Find the limit of the sequence an = (cos.n) 5"

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Q: Determine the value of the definite integral that describes the shaded region above. 1. 9dw

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Q: x = 2. (a) lim Below is the graphs of f(x) and g(x), and their tangent lines at YA y = 1.8(x-2) 0 x…

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Q: f(x) = (5z – 3)(4: 6(2-0³) 3-20 f(9) = 3 ၁၂ နှ

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Q: Consider the function defined by f(x) = sin(sqrt(|x|)).  A) What is the domain of this function?…

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Q: 4. The financial department of a hospital arrived at the cost function: C(x)=20x³-360x² +2300x-1000,…

A: Given cost function is

Q: 4. n=1 ne-n

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: dx f(x) g(x)]-

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Q: Approximate the area under the graph of f(x) and above the x-axis with rectangles, using the…

A: Since you have asked multiple sub parts in a single request so we will be answering only first three…

Q: √ 5x(x² +4)√√x² + 4 dx. 2

A: To evaluate the following integral.

Q: how much is 2*2

A: The question is asking for the product of 2 and 2.

Q: Find the demand function for the marginal revenue function. Recall that if no items are sold, the…

A: R'(x)= 0.03x2-0.08x+189

Q: 9x Find the Maclaurin series of e 10

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Q: 56. The length of required to enclose a rectangular field is 3000 meters. What are the dimensions of…

A: Let the length of the rectangular field=x mLet the width of the rectangular field=y mThe figure of…

Q: Using the graph of f'(x) find the increasing/decreasing intervals of f, points on  axis which f has…

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Q: If sin(-s) = 5/13, and (a) (b) (c) (d) sin s cos(-s) COS S 3πt < s < 2π, compute the following.…

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Q: A = 90°, B= 20°, a = 7;

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Q: Assume that y is the solution of the initial-value problem 5 sin x If y is written as a power series…

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Q: Find the value of a that makes the following function differentiable for all values of x. g(x)= if x…

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Q: ¡¡¡ ³² 2 cos (x²) 0 0 4у Evaluate the integral 2 cos (x²) 00 4y 5√√Z (Type an exact answer.) -dx dy…

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Q: Find the average value of the function g (t) = e' over the interval [0, 10].

A: g(t)=et over the interval [0,10]Average value of f(x)=1b−a∫abf(x)dx

Q: Suppose limx→cf(x) = 5 and limx→cg(x) = -2. Find: a. limx→cf(x)g(x) b. limx→c2f (x) g(x) c. limx→c…

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Q: In each of the following cases, find the value of the constant c so that the function f(x) is…

A: since you have posted multiple question in this question which are not interlinked so i have solved…

Q: find the limit if it exists, or show that it does not exist.  lim (x,y)→(0,0) (x^4 −y^4)/x^2+y^2

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Q: Using the Rules for Finding the Derivative of a Function. For the following exercise, assume that…

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Q: The total revenue for a product can be calculated as the area under the demand curve. Suppose that…

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Q: Find a power series representation for the function. (Give your power series representation centered…

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Q: * Find dy dx = the general Solution of :- - X+3x2 √x² + 2x³² 2

A: We use the variable separable method to solve the given differential equation.