s) Use the properties of logarithms to find dx y = In 4] sin' (3x) 5* √√x² +1

Q: Use the first derivative test to find the location of all local extrema in the interval (0, 4) for…

A: The given function is f(x)=-5x+3 ln(x)

Q: Step 3 Rewrite the integration in terms of u and v. 110 Step 4 (cos w)ew dw = (cos w)ew - Again…

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Q: Question 20 (5 points) Find the limit. 00 ∞ 5 0 -15 Question 21 (5 points) Find the limit. 0 1 00…

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Q: Find the minimum rate of change of f(x, y) – y³e-² at the point (0. — 2).

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Q: Sketch the region enclosed by the curves and find its area. 1 y = 2 √1-25x² Y NOTE: Enter the exact…

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Q: dx d dx dx d dx -sinu d dx -tanu dx dx d dx d dx COSU dx cot u secu CSCU √u A.n+un- B. au* Ina*. C.…

A: Please see the below picture for detailed solution.

Q: A cylindrical can is to be made to hold 1 litre of oil. Find the dimensions which will minimize the…

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Q: 17. The function f(x) = x³ + bx² + c has a critical point at (-2, 6). Determine the value of b and…

A: Please follow the next step.

Q: Write a recursive formula for the geometric sequence an given below. 10,10/3,10/9,10/27,10/81,…

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Q: A box with a square lid uses a material for the lid and bottom that costs $ 4.00 per square meter,…

A: We can solve the given problem by using the second derivative test.

Q: 3. 3 1 S (2x - 4y)dydx 1 -1

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Q: In a triangle ABC, a = 10, b = 12 and C= 40°, find c. - (Use cos 40° = 0.766) (Round the answers to…

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Q: The graph of f(x) is given below. On what interval(s) is the value of the derivative f'(x) positive?…

A: To find out the interval in which the function is increasing or positive.

Q: Integration by Parts; For the following integral, which part would be assigned the u and the dv? S…

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Q: Find a bif a= (4, - 1,5) ar . b = (-3, 8, 5).

A: Here we will find whether given vectors are orthogonal or not,

Q: 20. The graph of the first derivative f' of a function f is continuous on (-∞, ∞). -1 f (x) 2 3 (a)…

A: Note:- As per our company guidelines we are supposed to answer only first three sub-parts. Kindly…

Q: Find the critical point(s) of the function y = 0-2 cos (0) at 0 € [2, 4]. (Give your answer in the…

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Q: Solve the differential equation by variation of parameters. 3y" 6y' + 6y = ex sec x y(x) =

A: We have to solve the differential equation.

Q: (9) Find the limit for the given function. h lim (P-3r) mi (sin (8t))² हर t-Do Ne-xst

A: This question is based on limits.

Q: Find the derivative of F(y). Select the correct answer. F( y) = sinh y tanh y F' (y) = sinh y sech y…

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Q: Use the appropriate compound interest formula to compute the balance in the account after the stated…

A: The balance in the account after 9 years ?

Q: x² + ax − 2bx - 2ab-x³-2ax² - 2bx² dx x² + ax³ - 2bx³ - 2abx²

A: The given integral is  ∫x2+ax-2bx-2ab-x3-2ax2-2bx2x4+ax3-2bx3-2abx2dx To evaluate the integral.

Q: Write the comple solutions. Rate will be given. Find the derivative and tangent equation equation…

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Q: Write the first five terms of the sequence: {√n² + 4n - n } n =1 + Determine whether the sequence…

A: Find out the first five terms of the sequence and also if it converges then find its limit.

Q: Find d7 dx> d7 dx7 -(46 In(x)). -(x6 In(x)) =

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Q: Set up, but do not evaluate, an integral for the area of the surface obtained by rotating the curve…

A: Given that       y = ex, 1<=y<=7; y-axis

Q: Find | 22 x²z ds, where C is the line segment from (0,4,-6) to (2,9,-5)

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Q: 2. y(x-y²)dx + x(x++y²)dy = 0

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Q: Evalute ff Rx²dA, where R is the region in the first quadrant bounded by the hyperbola xy = 16 and…

A: The given integral: ∫∫Rx2dAWhere R is the region in the first quadrant bounded by the hyperbola…

Q: Q1 Pick a number A number is chosen at random from the whole numbers 1, 2, 3, ..., 25. Work out the…

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Q: In (x² + y²) 2 2 VX x+y Integrate f(x,y)== over the region 1 ≤ x² + y² ≤e5.

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Q: lim 0-4 In[(1 + h)² + 1] - ln(2) y

A: To evaluate the given limit .

Q: [xvx² xvx² - 1dx Select the correct response: (x² − 1) 8 3 (x² − 1) 4 3(x² − 1) // 4 + C 3(x² - 1) 8…

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Q: y=-3 √9-y² |25−x − y’ dxdy=

A: The given double integral:∫y=-3y=3∫x=-9-y2x=9-y225-x2-y2dxdyWe need to evaluate the above integral.

Q: 28 Find nd [² [ 2h f f(4x)dx if f(x)dx = 5. 16 Enter the exact answer. [fe f(4x)dx =

A: Given :∫1628f(x)dx=5

Q: find the limit, if it exists. If the limit does not exist, explain why. limx→2 1−|x|^2/1−x^2

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Q: A submarine begins to descend at 9 meters per minute. It begins 15 feet underwater. A. Write a…

A: 1 metre= 3.281feet

Q: Find the equation of tangent line to the curve y = 2 - x 2 (7, ²/7). at the point (7, Express the…

A: The objective is to find the equation of tangent line.

Q: Evalute fi f (y³ – xy)dydx -

A: NOTE: As per our guidelines, I have solved the first problem. If you want the answer of other,…

Q: 1) Simplify the expression for f(x + 1) - f(x) where f(x) = e2x - 1) . ) 0 (2 - 1) b) O (2-1)(2 - 1)…

A: option (b) is correct. see below the calculation

Q: Complete the table, for the following investments, which shows the performance (interest and…

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Q: Solve using variation of parameters: y" - 2y + y = e¹/(1+1²) + 3et p= ₁ ² + ₂ tet (Use 2 decimal…

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Q: 2A)Matrix A = 12 2₁ B = B = [₁ ²2₁ find AB. -21

A: Note:- Please repost part B because unable to understand  right side of differential equation…

Q: What is the distance between two points (3,-1) and (-2,-5). 3

A: Given that the two points (3,-1) and (-2,-5)  To find the distance between the two points.

Q: Find parametric equations for the line formed by the intersection of planes x+y-z=3 and 3x-y+3z=5.

A: First we find a point on the intersection of these planes with the plane z=0. And next find the…

Q: k [[ x=0&y=0 x cos(xy) dydx =

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Q: Evaluate the integral. Select the correct answer. 432 3 216 3 In 36- 432 3 In 36- none of these 432…

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Q: fror Find the area of the surface that results when y= around the x-axis from x = 1 to x = 2 2x² 3…

A: We have to find the surface area of the solid.

Q: Part 2. Integration by substitution Solve the following integrals through video presentation. √x+1 x…

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Q: Let g(x) - 1² f(t) dt, where f is the function whose graph is shown. f S

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