1. lim 3" 2. lim 5* 3. lim log r エ→4 4. lim cos r

Q: 1 dr 2. J3 x²Vx² – 9

A:

Q: 5 What is a. lim,-3 f(x) b. lim,-2 f(x) c. lim,0 f(x) d. lim,2+ f(x) e. lim,2 f(x)

A: To find the given limit values for the function using the give graph.

Q: Find the volume of the solid obtained by rotating the region bounded by the given curves about the s...

A:

Q: PERFORMANCE TASK Create a general rule in finding the limits of transcendental functions by stating ...

A: Limit of transcendental functions.

Q: dy sec x.tan x dr

A: Please refer to the image below

Q: Evaluate the integral and check your answer by differentiating. NOTE: Enter the exact answer. + 4e" ...

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Q: a learn.hawkeslearning.com/Portal/Lesson/lesson_certify#! ave & Exit Certify Lesson: 3.4a Increasing...

A: Given query is to find the value of x where tangent is horizontal.

Q: Find the indicated derivative and simplify. y' for y = (2 + 7x- 9x²) ex y' =]

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Q: 12. The Mean-Value Theorem for Riemann-Stieltjes integral is useful in finding the exact value of th...

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Q: dy/dx

A: We will perform implicit differentiation. 

Q: 2. (x² – y²)³ = 3a*x? %3D

A: Differentiate both sides of the equation with respect to x.Then solve for the derivative of y with r...

Q: dx 4. S x²Vx2-9

A: 4). Given: I=∫dxx2x2-9   ....(1)   As we know from the trigonometric identities; 1). cosx=1secx 2). ...

Q: EF = (6x – 4y, z – 4x, y – 8z), then V × F = 0.

A: Topic:- application of derivatives

Q: product

A: We will demonstrate the above. 

Q: Vx2 – 9 4. lim х-з х — 3 X→3

A: We have to find out limit

Q: Every function defined on a closed interval [a, b] must have a global maximum and a global minimum o...

A: Every function defined on a closed interval a,b must have a global maximum and a global minimum on a...

Q: 6 For the function y = f(x) : 2 + x² ' a. Find the slope of the line tangent to its inverse function...

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Q: 2. The price-demand equation for a certain product is 0.2x + 20p = 120. a) For what range of p-value...

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Q: 1 - cos2A The (1 eJ (1+1+ cos2A) dA is equal to A. tan 2A + C B. cos 2A + C C. cos A + C D. tan A + ...

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Q: Find the volume of the solid found by rotating the region y = Va from :-1. You may use either the sh...

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Q: Determine whether the series is convergent or divergent. n- 1 5n – 1 n = 1 convergent O divergent If...

A: The given series is  ∑n=1∞ n-15n-1

Q: Use Lagrange multipliers to find the maximum and minimum values of the function subject to the given...

A:

Q: 1. Find the center and radius of a circle given by 2r2-8x + 2y2-4y+6=0

A: Given: 2x2-8x+2y2-4y+6=0 Take out common and write in standard form x2+y2-4x-2y+3=0  

Q: Determine the equivalent when (8+8i) is raised to 1-i. Express your answer in a rectangular form in ...

A: We have to find 8+8i1-i=?   The magnitude of 8+8i is = r=82+82=128=82 The argument of 8+8i is = θ=ta...

Q: Find the nth Taylor polynomial for the function, centered at c. f(x) : 1 n = 4, c = 5 Pa(x) = %3D

A: A Taylor series is given by          f(x) = ∑k=0∞ fk(c)k!x-ck = f(c) + f'(c)1!(x-c) + f''(c)2!(x-c)2...

Q: Which of the following statements about the definite integral is/are false? 1. [ f(x)dx=0 A I only I...

A: To determine which of the following statements afout the definite integral is/are false. I ∫-aa fx d...

Q: f (t) = et sin (3t + 2

A:

Q: Each of the following is a holomorphic function in an appropriate open set. In each case, find its c...

A:

Q: Consider the region R bounded by the line y = 33 - 5x and the parabola y = 27 – x2. To find the volu...

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Q: A tank holds 5000 gallons of water, which drains from the bottom of the tank in half an hour. The va...

A: Slope of line

Q: Find the Area of the region enclosed by Y=JT +1 and y=X, and y-axis (sketch)

A: This question is based on application of integration.

Q: 2000 A television camera at ground level is 2000 feet away from the launching pad of a space rocket ...

A: Find your answer below 

Q: Determine the length of the curve y = In(cos r) betweenI = 0 and r = 1/4. (Hint: if you simplify the...

A:

Q: Hw. Find dw and dw for the following functions

A:

Q: x²-1 dx 1. S

A: Given: I=∫x2-1xdx   ...1   We know that the trigonometric identities; (1). The Pythagorean identitie...

Q: funchioN fo= x-2x-3 X+3 find the secod derivatve tx): Baseden: criical value -6.5, 0.5 and second de...

A: Given: fx=x2-2x-3x+3   We know that; The Quotient rule: fg'=f'·g-g'·fg2 The chain rule: fgx'=f'gx·g'...

Q: The voltage V across a resistor in an electric circuit is the product of the resistance and the curr...

A: We have to find dv/dt at t=5 seconds.

Q: 9. The difference of two numbers is 30. What two numbers will minimize the prod- uct?

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Q: Hw. Find Aw and dw for the following functions sintXty}

A:

Q: Use the identities cos 20 =1- 2 sin? 0 = 2 cos? r to help evaluate the integrals. COS 1 NOTE: Enter ...

A:

Q: A certain kind of a ceramic tile has the form of a 4 × 4 board. Each of the 16 squares is colored wh...

A:

Q: Differentiate: y = 2sinx/e O a. y' = (cos x- sin x)/e O b. y = (2e*cosx - 2e*sinx)/e2x O c. y (2e*si...

A: Please see the solution below.

Q: a) State if the following are True or False. You need not show any working. (i) z = 2 – 2i has magni...

A: To state whether the given statement is true or false.

Q: The graphs of x = 4, y = f(x) (s

A: Volume =∫ab A(x) dxA(x) = π[(Outer radius)2-(Inner radius)2]  

Q: Calculate the divergence of the vector field F (x, y, z) = –10 sin(2xy)i – cos (x' y)j. (Give an exa...

A:

Q: Find the domain of the following function f(x) = Vx2 - 1

A: Here, the given function is: f(x)=x2-1

Q: Background Layout Theme Tra A maneger is planning to sell a computer for $10 more than its 2 wholesa...

A: Given query is to find the the whole sale cost of computer.

Q: The region bounded by f(x) = – 4 sin a, x = T, x = 27, and y = 0 is rotated about the y-axis. Find t...

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Q: Find the area of the surface obtained by rotating the given curve about the x-axis. y = v1+ ex, 0 < ...

A:

Q: Identify the most appropriate differentiation rules to be used in finding the derivative of the foll...

A: