If sec(x) = 7, find the value of cot(a) where 0 < a < π/2. cot(a) =

Q: Find the derivative of the function. f(t) = arccsc(-3t²) f'(t) = - 2 √√9-1

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Q: Consider the following series. 1 1 1+ + + 49 Does this series converge or diverge? converges O…

A: The given series is

Q: Find all values of x (if any) where the tangent line to the graph of the given equation is…

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Q: Find the volume V of the solid obtained by rotating the region bounded by the given curves about the…

A: Draw graph

Q: Find the area of the surface generated by revolving the curve x = 3 3 2' 0 sy≤4, about the y-axis.…

A: Styg

Q: F Let f(x,y)= In (y+2)+2xy, Compute f(0, -1). OA. 1 OB. 1+e OC. 0 OD. e

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Q: Consider the rectangle shown in the figure. y (a) Find the area of the rectangle as a function of x.…

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Q: Let V R. For u, v EV and a ER define vector addition by uv :-u+v-1 and scalar multiplication by a Eu…

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Q: Let f(x) = = lim x→7- |x - 7. Evaluate the following limits. ƒ(x) − ƒ(7) - x - 7 f(x) — ƒ(7) = lim…

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Q: 8. Calculate the double integral [²[²² yey drdy.

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Q: Suppose that Sue runs faster than Kathy throughout a 1500-meter race. What is the physical meaning…

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

Q: Find the area of the surface generated by revolving the curve about each given axis. x = 9t, y = 2t,…

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Q: Consider the integral ¹ / 2³ (zª — 4) ³dz. To find the value of this integral, make the substitution…

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Q: The manager of a restaurant found that the cost to produce 200 cups of coffee is $19.52, while the…

A: It is given that the cost to produce 200 cups is equal to $19.52 and the cost to produce 500 cups is…

Q: Set up, but do not evaluate, an integral for the volume of the solid obtained by rotating the region…

A: Given

Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y.…

A: The first function is,.The second function is,

Q: 2 Solve the ODE: (3x² + 10xy − 5) + (−15y² + 5x² + 3)y'= 0 Entry format: Write your solution…

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Q: 2 Calculate the length of the astroid of x ³ + y 3 S = 2/30 = 3. =

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Q: Sketch the graph of the equation by point plotting. y = (x - 2)² -1 X у Submit Answer y 6 -8 -10 0 2…

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Q: Find the product of -2 + 1i and its conjugate. The answer is a + bi where The real number a equals…

A: Note: Due to guidelines, I can solve only the first questionTo find the product of a complex number…

Q: Evaluate the limit 9-x lim x 9 3-√√x

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Q: Use the information listed below to solve parts a through h. (... Suppose that the demand and price…

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Q: Find the four second partial derivatives. Observe that the second mixed partials are equal. z = 5xey…

A: To find the four second order partial derivatives and to observe that the second mixed partials are…

Q: Use the graph to determine the x-values at which f is discontinuous. For each x-value, determine…

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Q: [2² e2x cos 3x dx

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Q: Compute the value of the improper integral. (If the integral diverges to ∞, type oo; if the integral…

A: The given integral is

Q: Elsa is putting money into a savings account. She starts with $650 in the savings account, and each…

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Q: Estimate the limit, if it exists: limf(x) where f(x) is represented by the given graph: Select one:…

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Q: One employee of a computer store is paid a base salary of $988 a month plus a 5% commission on all…

A: Given,One employee of a computer store is paid a base salary of $988 a month plus a 5% commission on…

Q: Given the matrices A and B, and the vector c, find the expressions in problems 1, 2 and 3, or…

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Q: Let f(x) = x Then the expression -5 where A is a constant and A= f'(x) = lim h→0 Using your answer…

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Q: (a) Express the area of a circle, A, as a function of its circumference, c. A(c) = (b) Express the…

A: (a) To express the area of a circle, A, as a function of its circumference, c.(b) To express the…

Q: The graph of a polynomial function y = f(x), is shown at right. Identify the properties and…

A: The graph of the function is given.The aim is to find the  Relative minimum values  Relative maximum…

Q: A Beginning with the graph of y=sinx, use shifting and scaling transformations to sketch the graph…

A: In this question, we will draw the graph of the trigonometry functions.

Q: Set up an integral for the area of the shaded region. Evaluate the integral to find the area of the…

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Q: Compute the surface area of the solid of revolution formed by rotating the bounded region formed…

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Q: Explain why the function is discontinuous at the given number a. (Select all that apply.) ✔ x+3…

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Q: QUESTION 2 The graph below represents the distance-time relationship from Justin and Nicole as they…

A: To study the graph and answer accordingly.

Q: You plan to build a cylindrical container with no top. The material used for the lateral sides costs…

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Q: To test the series series, so we could investigate convergence using other methods.) if the Find the…

A: The given series .The aim is to check the convergence of the series using the integral test.

Q: Consider the series an where an = n=1 Find lim an. Enter DNE if the limit does not exist. nx lim an…

A: The given series iswhere From part 1,

Q: Given f(x) = (x − 2)³ + 1 find ƒ−¹ (x). - 1+ 2x 7+x Given h (x) = find h-¹ (x).

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Q: Integrate the following Lid (z + 1)² L.r

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Q: Find the limit. (If the limit is infinite, enter 'o' or '-co', as appropriate. If the limit does not…

A: The expression for the limit is given as follows

Q: find a linear equation whose graph is the straight line with the given properties through (0.5,…

A: To find a linear equation whose graph is the straight line with the given properties: passing…

Q: Find aw/as and aw/ât using the appropriate Chain Rule. Function Values w = y³ - 3x²y x = es, y = et…

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Q: Find the total area of the shaded regions. y=x-36-x 30 24 18 12 B 10 8 6 4 2 42 -18 24 30 x Q Q

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Q: Find the four second partial derivatives. Observe that the second mixed partials are equal. z =…

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Q: An airplane is flying in still air with an airspeed of 250 miles per hour. The plane is climbing at…

A: An airplane is flying in still air with an airspeed of 250 miles per hour. The plane is climbing at…

Q: Let f(x) = lim f(x) = = x 6+ x f(6) = 3 x-9 Compute the quantities below. Write "DNE" if the limit…

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