a) ㅠ 3 cos x sinx dx

Q: The function (f) is defined by: F(x)=x² if xe[-^;^] (i) Give the graphical representation of the…

A: Disclaimer: “Since you have posted a question with multiple sub-parts, we will solve the first three…

Q: 3) Draw the line segment whose slope represents the average rate of change from x = 0 to x = 3. Use…

A: As per bartleby guidelines we only give first question answers.

Q: 5sec 5 sec 5x tan 5x dx

A: Given, ∫5sec 5x sec 5x tan 5x dx

Q: Let z=f(x,y) = 20x² - 25xy + 16y². Find the following using the formal definition of the partial…

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Q: 7. Evaluate the integral

A: answer is in next step.

Q: Amount of error  Percent of error

A: Given ,  1 cubic inch = 16 cubic cm  True value :  1 cubic inch = 16.39 cubic cm We have to find…

Q: 1 √¹²₁₂ (3x-5 - 2x-6) dx

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Q: .. Solve the following differential equation using the indicated method. (a) y"+y' - 2y = x² + 2 sin…

A: Solution is here

Q: - 3x Find the derivative of y with respect to x if y = e

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Q: Question 6 (a) Use the Maclaurin series, In(1 + x) = x -+-+-=-1(-1) ¹+¹ ² 1+2 to derive the series…

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Q: Find the derivative of the trigonometric function. y = cos((?x)8)

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Q: 6) 10 xdx (1-x2)3/2 S, T₁

A: See the details solution in below

Q: Find the derivative of the function. <-2 g(x) = (7x² - - ² 4 4x + 7 g'(x) = 2 ((7x²-4) (28x²…

A: g(x)=7x2-44x+7-2 Chain rule: f(u(x))=f'(u(x))·u'(x)

Q: Find the x-value of all points where the function below has any relative extrema. Find the value(s)…

A: Solution is here

Q: The projected population of a certain ethnic group(in millions) can be approximated by p(t) =…

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Q: 3. Sxsin x dx

A: topic- indefinite integral

Q: C. Find the volume of the solid generated by revolving the area bounded by the given curves about…

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Q: Find the volume of the solid bounded below by the circular paraboloid z = z² + y² and above by the…

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Q: se the formula to find the derivative of below functions. 5x²-7x+2 2³-9 (1) ƒ(x) = ( 31⁄4 + x) .· (2…

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Q: Find the coordinates of the vertices of the polygon after the indicated translation to a new…

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Q: fferential Equations: Growth and Decay Answer the given problem. Show your solution completely with…

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Q: 1. [(5x (5x - 3)100 dx 2. (x - 3)¹/4 dx 5 3. 3. / ( x ² + ² ) ( ²2 2²³ + x) ² da 2) dx

A: 1) Given ∫5x-3100 dx Substitute   u=5x-3                  du=5 dx    ⇒ dx=du5 ∫5x-3100 dx = 15∫u100…

Q: Calculate the double integral. JS y dA, 4xye+²y R R= [0, 1] × [0, 8]

A: Given; ∫∫R4xyex2ydA, R=0,1×0,8   As we know the common integral. ∫eax+bdx=1aeax+b+C  And ∬dA=∬dxdy…

Q: Find the tangent line approximation for √1+ x near x = 5. y = ||

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Q: The linearization at a = 0 to √8+7e is A + Ba. Compute A and B. A B= || ||

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Q: The graph shown below is f(x) = x + 1. What is the integral function g(t) that defines the area…

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Q: Which of the following is not an indeterminate form? * ∞-∞ O Option 1 0/0 O Option 2 1∞ 1/0

A: Topic = Limits Correct option = 4

Q: Show that the points form the vertices of the polygon. isosceles triangle:     (4, −4), (5, 2),…

A: Solve the following

Q: Let x be a continuous random variable that can take any value in the interval [0,3]. Let its…

A: Solution:

Q: Evaluate the given indefinite integral. 7 c 7 cos √6x dx= [ (Type an exact answer. Type an…

A: Solution: ∫7cos 6xdx Apply integration by parts

Q: Let x³ + yª + 8x + 3y = 7. Computeat (2,1)

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Q: 4. (ази t эзо

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Q: Q: IF A=[4] and, I= identity matrix Then, Y=A² + A - 21 Find Matrix Y ? 1. [16 16] 10 2. [16 781 3.…

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Q: Leª dx

A: We have to find the integral

Q: C. Find the volume of the solid generated by revolving the area bounded by the given curves about…

A: Let's find volume of solid.

Q: Suppose that f(x) is a function with f(85) = 49 and f'(85)= 3. Estimate f(80). f(80) =

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Q: The total revenue (in hundreds of dollars) from the sale of x spas and y solar heaters is…

A: Concept: Rxx, Ryy, Rxy, are the double partial derivative of x and y Maximum condition:…

Q: 3 (3x+1) dx X-1 1₂2²

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Q: 3 Jess bought a new car for £12 000. In the first year the value of the car depreciates by 20%. In…

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Q: Let f(x, y, z) = n(4xy) + sin(xy² + ye*). Find fayz.

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Q: (d) Any local minimum or local maximum of a function f must occur at a critical point of f. True…

A: As per Bartleby answering guidelines if multiple questions are posted in a single picture then an…

Q: Test the equation below for exactness. If exact, solve. If not, use an integrating factor (find it…

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Q: Find the derivative dy dx || dy dx of the function y = sec (₁ +√4+ sin ¹(4 + ²))

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Q: TL 9. The region R = {(x, y): 0 ≤ x ≤ 2, -√√1-(x − 1)² ≤ y ≤ √1 - (x − 1)²} in the transformation x…

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Q: Differentiate the following function. f(x) = -3e-3x d -(-3e-³x) = dx

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Q: 1. f(x) da converges, then If f(x) ≤ g(x) for all z in [a, +∞o) and converges. g(x) dx also

A: Given

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Q: Exercise 15.5.1 Evaluate the triple integral * "** (rz sin 0)r dz dr de. =0 Hint 8 X

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Q: 1. Find the volume of a solid if the area boun ded by the curve y = In x, the x-axis and the line x…

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Q: Find the derivative of each of the following functions:- log₂ x 2. y=- X

A: Given problem:- Find the derivative of y=log2x/x