Use the table to evaluate the expression. 1 2 3 4 f(x) g(x) 3 1 6 3 4. (g o f)(2)

Q: The derivative of f(x)= (x2+2x)(x²-2x) is a. 4x3-8 O b. x-4x2 с. none d. 3.

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Q: F(rn) f(In) for f'(En)] For the function f(r)- tan(z), write Newton's formula as , 1 = In solving…

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Q: TOPIC: OPTIMIZATION IN DERIVATIVES Directions: Read and analyze each problem carefully and solve for…

A: Volume

Q: g expressions a. lim (2z - 1)(2-1)

A: Given : apply chain rule    find limit of about separately

Q: Begin with the Maclaurin (Taylor) series: cos r = 1 - 2! 4! 6! (a) Evaluate cos 0. (b) List the…

A: According to the guidelines, we are instructed to answer 1 question or 3 sub question,the others can…

Q: Identify if the following three forces F, F2and F3 forms a state of equilibrium or not. Their…

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Q: 1. Jx cos 3x dx Sx² cos x dx 2.

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Q: 1+cosx Show that if f(x) = In| then f'(x) = -cscx. %3D 1-cosx

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Q: Graph the function and find its average value over the given interval. g(x) = |x| – 1 on [-1,1]

A: We have to draw the graph and average value.

Q: B: .A card is drawn from a well shuffled pack of 52 cards. Find the probability of: (i) '2' of…

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Q: ield F = (A, B, C) such that A = 2zx, B = 3z + 2y, 0,0,0) = 1 and C is independent of

A: We have to find the following conditions according to the given information

Q: Determine a. (Give your answer as a whole or exact number.)

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Q: write the sum in summation notation, using the given lower bound   1/2+2/3+3/4+4/5+5/6=

A: Given:  12+23+34+45+56 If we see the pattern we can say that numerator and denominator of the nth…

Q: Find the area of the surface generated by revolving the given curve about the y-axis. 8ry 2y+1,…

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Q: Analyze and sketch a graph of the function. Find any intercepts, relative extrema, points of…

A: We have to find X intercept, relative minimum, relative maximum, point of infection and the equation…

Q: 4. If the marginal cost for a product is MC = 2x +9 and the production of 10 units results in a…

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Q: Find an equation of the line tangent to the curve r = sin 30 at the point where 0 = klo

A: Polar curve

Q: 5- If Die is rolled find the probability that never appear 2 a) b): d) 3

A: A Die is rolled, the probablity that never appear 2

Q: Find the nth derivative of y = In(16x2 – 9).

A: Given y=ln(16x2-9)

Q: The non-homogenous solution of the following equation by using variation of parameter method y" + y…

A: Given

Q: 1 lim (x² –1)sin x+1

A: To find out the limit.

Q: S 7" Зи + 12 1 8.

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Q: 6. The initial population of a town was 12000. After 5 years the population increased to 38000…

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Q: a²z Determine a²z if z = tan- r - r r2+92°

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Q: a)True b)False 2/ Answer the following: (A) Find the solution of this equation y=+y-6y = 0. roncform…

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Q: 6. The initial population of a town was 12000. After 5 years the population increased to 38000…

A: Equation of population growth: P = P0 e^(at)

Q: dy Use an appropriate technique to find dx from x? + y? = (2x² + 2y² – x)*.

A: We can solve this as follows:

Q: Find two positive numbers satisfying the given requirements. The sum of the first and twice the…

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Q: dr

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Q: B: .A card is drawn from a well shuffled pack of 52 cards. Find the probability of: (iv) a card of…

A: We can answer both the question as below.

Q: Let, \(f(x)=4x^2-12x+10\). Find: (a) the X- coordinate of all critical points, b) the open intervals…

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Q: Sketch the graph the integrands and use areas to evaluate the integrals. | Ix| dx -2

A: Follow the procedure given below.

Q: Find the differential dy of the given function. (Use "dx" for dx.) x + 1 4x - 7 dy

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Q: Find the length and width of a rectangle that has the given perimeter and a maximum area. Perimeter:…

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Q: B: .A card is drawn from a well shuffled pack of (iv) a card of diamond (v) a king or a queen

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Q: Using the Optimization in Derivatives, solve the following problem: A 150-room hotel in Reno will…

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Q: Question 6 Use cylindrical shells to find the volume of the solid generated wher the region enclosed…

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Q: 1. Sketch the graph of r = 6/ (3 + 3 cose).

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: 3 The triple integral L (x + 2y – z)dxdydz is equal to

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Q: Find the local linear approximation L (x) of the function f(æ) = 5 – a² at x= 2.

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Q: Find and classify the critical points of f(z) = 82°(8 - z)7 as local maxima and minima. %3D Critical…

A: Critical points are the points of a function where the derivative does not exist. local maxima: the…

Q: 4. (- FIND the center of mass of the lamina of density p if the lamina is shaped like the region…

A: A detailed solution is given below.

Q: Let u =, v = where A and B are some constants. Given that ú + 90 = find the value of the product…

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Q: State the condition that the two vectors i and y are perpendicular. Find the value(s) of k such that…

A: If two vectors are perpendicular to each other, then their dot product is equal to zero.

Q: Find the area, A, of the region enclosed by the cardioid r = 8+ 8 cos 0. 96 л (B 52 A © 48 n (D) 100…

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Q: Given the equation x In(y) dz = z Arctan(3y). Assuming z as a function of variables x and y, find ar

A: To partially differentiate the function z with respect to x.

Q: Find the curvature and the radius of curvature at the point t = 0. x = e' cos(t), y = e' sin(t), z =…

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Q: // Find the Area bounded by: x = -y2 and x = y- 2

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Q: f(#n) for For the function f(x) 3x +1, write Newton's formula as , 1 - F(En) f'(an). solving f(x) 0.…

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Q: Find the differential dy of the given function. (Use "dx" for dx.) dy =

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