If f(x) = 7 sin(8a)sin-(x), f'(x) -

Q: Suppose that the marginal cost function of a handbag manufac C"(x) = 3 -x² – x + 200 32 Quotlent %3D…

A: I have stated the used formula in the solution.

Q: 1. (a.) Name the given quadric surface and give its axis. (b.) Sketch the surface. (c.) Name its…

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Q: 4.For the 2 curves xy = 8 and x2 = 64y, find the angle between the two tangent lines at the !! %3D…

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Q: 1+x dx V1-x

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Q: 1 What is the instantaneous rate of change of Y= at x = 2? - o-1 4 O none of these -1 -1

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Q: sin x 2. Find the derivative of y = 3+2cos x

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Q: Determine the x-values at which the graphs of f and g cross. If no such x-values exist, then state…

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Q: ralucte dx

A: Limit

Q: tan(1 – x) 2 limx→1 2x +x – 3

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Q: tan(1 – x) limx→1 2 2x +x – 3,

A: Limit

Q: The eraph of a function is given. Use the graph to find the indicated limit and function value, or…

A: (a)limx→1f(x)=-3becauseleft hand limit=right hand limitlimx→1-f(x)= limx→1+f(x)=-3

Q: 13. Let f(x)= x +3x-9x-13. (a) Find the intervals where f(x) id increasing and decreasing; (b) Find…

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Q: Problem #7: A rectangular garden is fenced on three sides, and the house forms the fourth side of…

A: We need to find dimension of the garden.

Q: A population of bacteria is growing according to the equation P(t) = 2000e0.05t. Estimate when the…

A: Given query is to find the Indicated time.

Q: If 30,000 cm2 of material is available to make a box with a square base and an open top, find the…

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Q: Calculate the work done by the force F along the path C. F = -5x i - 3x 4y 2j + (4z - 5y 2) k; the…

A: q1

Q: Compute the partial derivative: f(x, y) = sin (a- 6y) f,(0, T) =

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Q: 2. Find the volume of tetraherdon with the vertices A(-1, 2,0), B(0,3,-1), C(3,3,0), and D(1,1,-1).…

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Q: dy Find for y = tan-(3z) de Ans=

A: A detailed solution is given below.

Q: Problem #2: Differentiate f(x) = [(4x³ – 1)(8x² + 6x – 3)]° and solve f'(2). %3D Solution: Reason:

A: To differentiate the given function.

Q: 00 6" +3 2(-1)"-b,, where b,=- n' n n=1 (n+3) 9"+4 a) Find and simplify bn+1 bn b) Test the given…

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Q: Find AC. Round your answer to the nearest tenth. 14 ft 89° 8 ft 25 mi 16 mi 19 mi 17 mi

A: To find the value of AC

Q: 2. Write the given (total) area as an integral. a. The area above the x – axis and below y = 4 – x²…

A: 2a intersection

Q: 12 Indicate a general rule for the nth term of this sequence. 6m, 3m, 0, -3m, -6m, . . . a n =…

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Q: Sx² sec2 x³ dx

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Q: Find the equation of the tangent line at the given point on the following curve. x* +y = 20. (2, –…

A: The given curve,    x2+y2=20, 2,-4

Q: For y = arccot(7 e*) dy da

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Q: x-3 3. Find lim and simplify. x+9 x-9

A: Solution

Q: Find the average value over the given interval. 11) y =x2 - 3x+5; [0, 3] D)- A) 5 B)

A: As we know that; The expression for the average value of the function over the interval a,b is:…

Q: compute J, f(x)dx 2x if x < 1 f(x) = { 4 if x2 1

A: Given query is to find the value of the integral.

Q: Find f. f"(t) = 5et + 4 sin t, f(0) = 0, f(1T) = 0 f(t)

A: topic- differential equation

Q: Two posts, one 8 meters high and the other 12 meters high, stand 15 meters apart. They are to be…

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Q: Find the area of the triangle. Round to the nearest tenth. S 16 km 66° R 7.8 km 62.6 km2 11 km2 O 57…

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Q: Evaluate the limits lim 5x+ 6. undefined

A: We will find the limit.

Q: Plot the polar curve r(0) = on [0,57].

A: Given that,  r(θ)=θπ on 0,5π

Q: What is an equation for the cosine graph shown below? 11 -10 6- 8 -7 -5 4 -2 1 -135 -90 -45 45 90…

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Q: Find the curve length of the function 1 1. f(x) = ;x² 0 < x < 3

A: We can find the curve length as below.

Q: Determine if the infinite series is convergent or divergent. (-1)"2"+1 n! n = 0

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Q: 7. Determine the integral| 2+1

A: The given integral,    ∫x dxx2+1

Q: Question 1 ( (a) Use the Second Derivative Test to find the local extreme values of the function…

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Q: Question 12 Solve the triangle. Round lengths to the nearest tenth and angle measures to the nearest…

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Q: Sx In x dx

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Q: Nathan is required to pay George $9,500 today but he wishes to postpone the payment for 60 days.…

A: Given query is to find the amount to be paid.

Q: A 17-ft ladder is leaning against a wall. The foot of this ladder is sliding away at the rate of…

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Q: Find the position vector for a particle with acceleration, initial velocity, and initial position…

A: We have to find r(t)

Q: On the circle x² + y² = r², find y". r2 A. y" C. y" = y - x3 E. None of these -x² - y2 В. у" D. y" :…

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Q: dy Find the general solution for: -6y dx Select one: O y=C.e¯z О у y = C. e-6x O y = e-6x O None. O…

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Q: Draw a right triangle containing 0, so that the opposite side is 2, the adjacent side is 5, and the…

A: Topic:- trigonometry ratios  Note :- as per our guideline if more than one question uploaded than…

Q: Find the shaded area shown on the picture below. The function graphed there is f (x) = x² – 4 5 4. 3…

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Q: The following series is divergent: (n°-2 Σ n=1 5n4 Select one: O True O False

A: Solve the following