Consider the following. x = sin(t), y = CSc(t), 0

Q: Evaluate. (Be sure to check by differentiating!) [(8+xº) ³x7 dx

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Q: Find the derivative of the function. f(t) = (6t+ 6)2/3 f'(t):

A: given

Q: Evaluate the integral by changing the order of integration in an appropriate way. 1 1 In 6 SSS 05/20…

A: Given ;

Q: lim (1 – 3x)¹/(2x) x→0 1 1 √e 1 e 1 eve

A:

Q: Steven's Cat Math: This weekend I observed a cat, known as Fluffy, running across a branch and…

A: 1) At 0.255 seconds, Fluffy reaches the peak of his trajectory.To get the height substitute t =…

Q: Use the Chain Rule to find dw/dt. w - In (√x² + y² + z²), W = dw dt - Need Help? Read It x = 6…

A: See the details solution in below

Q: (a) Find intervals where fis increasing or decreasing. (b) Find and specify all local maxima and…

A: Since you have asked a question multiple parts in a single request we would be answering only first…

Q: Which statement is not necessarily true? .b b b Life (f(x) = g(x)}da = [ * f(a)da ± [*9(a)da g(x) dx…

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Q: Find the area under the graph of f over the interval [-2,4]. x²+2 x≤2 3x X>2 f(x) =

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Q: The dependent variable y is missing in the given differential equation. y" = 1 + (y')² y(x) =

A: The second-order non-linear homogeneous equations can be solved by using substitution.

Q: verify Identity Sin 4x (os 4x Sin 2X lus 2X Statement sec 2x Rub

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Q: If 85x + 9 = 46, solve for x. X =

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Q: Find an equation for the conic that satisfies the given conditions. parabola, vertex (0, 0), focus…

A: Given:We are required to find:

Q: Find the absolute maximum and absolute minimum for the function on the closed interval. g (t) = cost…

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Q: Suppose f(x) = xe-7x Absolute minimum: ( Absolute maximum: ( 0≤x≤ 2. Use the Closed Interval Method…

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Q: 1+ 1 4 1 16 + 1 64 +...

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Q: Find the values of x for which the function is continuous. f(x) = x-1 x² + 8x - 9

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Q: Write the range of the function in interval notation. Express numbers as integers or simplified…

A: Given functions:-

Q: Solve the triangle with the given parts. 26° 28 51⁰ Y r b Y = 103°, a = 62.2, b = 35.1 Y = 103°, a =…

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Q: Find the Maclaurin series for the function. (Use the table of power series for elementary…

A: The function is

Q: 4 3 लत 2 1 -2 -3 -4 Determine the period. 4 co 8 12 16 20 24 28 Enter

A: The solution is shown in step-2

Q: Example 0.10. Evaluate | 1² dz

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Q: Use identities to simplify the expression. 1 - sin e csc e 0 cos²0 cot 0 csc 0 tan 0 sec 0 sin 2

A: By using identities to simplify the following expression.

Q: 5. Find a fundamental matrix of the following system and apply x(t) = $(t)Þ(0)¯'¹x to find a…

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Q: Determine the interest rate r needed for an investment of $3,000 to grow to $24,000 in 9 years if…

A: The amount formula when the money is compounded.Note that here A means amount, p means principal…

Q: Find the volume of the given right tetrahedron. (Hint: Consider slices perpendicular to one of the…

A: The area of the base of the tetrahedron= area of the triangle i.e., Now,  forms an edge of a…

Q: Find the absolute maximum and minimum values of f on the set D.   f(x, y) = xy2 + 4,    D = {(x, y)…

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Q: Find the center of mass of the following plane region with variable density. Describe the…

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Q: Use Lagrange multipliers to find the points on the given cone that are closest to the following…

A: The solution is shown in step-2

Q: Find the four second partial derivatives of the following function. f(x,y) = In (8x² + y² + 3)

A: To find the four second order partial derivatives of the following function.

Q: Use the Chain Rule to find ∂z/∂s and ∂z/∂t. z = tan(u/v), u = 3s + 9t, v = 9s − 3t ∂z ∂s ∂z…

A: Here Z is a function of u and v. u and v are both functions of s and t.So, we can say that Z is a…

Q: NOG 5 0 2 e of the following limit? f(f'(2x - 3)) lim x3 3x² 10x +3 1 74

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Q: A company that produces ribbon has found that the marginal cost of producing x yards of fancy ribbon…

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Q: Find the area under the curve y = from x = 1 to x = t. Evaluate the area under the curve for t = 10,…

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Q: Evaluate the integral. (Assume a = b. Remember to use absolute values where appropriate. Use C for…

A: The given integral is .We have to evaluate the integral.

Q: Evaluate each of the following limits. If you need to use ∞ or -∞, enter INFINITY or -INFINITY,…

A: NOTE: As per our we are suppose to solve first three sub-parts of the question.(a)

Q: r(t) = 103-10/2 + 200 + 60 (0 ≤ t ≤ 12) 9 81 where t is measured in months, with t= 0 corresponding…

A: We can solve the given problem by using differentiation formulas and chain rule of differentiation.

Q: 7. Use the graph below. Determine the period of this function 2 -2- OA 10 OB 2.5 OC -3.25 10 x

A: We have to find periodic function of the given graph.

Q: Consider the function f(x) = (a) f is concave up for a € (b) f is concave down for x € 3x² +5 (c)…

A: first derivative

Q: Consider the equation 22-15 = (1/4). Enter the number of solutions of the above equation. Determine…

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Q: Use cylindrical coordinates to find the volume of the solid that is enclosed by the zone z =x^2 +…

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Q: Find the derivative of the function at Po in the direction of A. f(x,y) = -4xy-4y², Po(-1,8), A =…

A: Using partial derivatives, we can solve the question.

Q: (a) Find the slope of the curve y=x²-2x-4 at the point P(2, -4) by finding the limiting value of the…

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Q: Kaitlyn invested her savings in a bank at 4.00% compounded quarterly. How much money did she invest…

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Q: If f(x) = cos(In(x5)), find f'(1). f'(1) =

A: Explaination of the answer is as follows

Q: Express the sum in sigma notation. 1 - 4 + 16 - 64 + 256

A: We need to express the sum in sigma notation.1 - 4 + 16 - 64 + 256

Q: Find the distance between the complex numbers in the complex plane. -3+, -9 + 3/

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Q: Find the derivative of f(x) = -3³/2 √z (a) by using the Quotient Rule (b) by by simplifying the…

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Q: Suppose the wholesale price of a certain brand of medium-sized eggs p (in dollars/carton) is related…

A: The equation  And 21000 cartoons of eggs available and the price is falling at the rate of…

Q: Find the midpoint of the line segment joining the points corresponding to the complex numbers in the…

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