d Az3+7z+8, -4z3. dz d 3. (x)(3x² – 9) 2.

Q: Evaluate (sin t + 1)-1 dt A) sin t - sec t + C B tant + sec t +C (©) tant - csc t + C D tan t - sect...

A: Topic:- integration

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Q: Find the area enclosed by the x-axis and the curve y= 9 – x². (A) 36 square units B 18 square units ...

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Q: the standar form of the equation of the hyperbola with the given characteristic Foci: (0, 19); asymp...

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A: topic - equation of ellipse

Q: 12. What is the graph of the absolute value equation |x| ≤ 2?

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Q: 4 1-1 if I 4 Calculate the following limits. Enter "DNE" if the limit does not exist. lim f(z) = lim...

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Q: In the adjoining figure u and V are unit vectors. Evaluate the following and input your numerical an...

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Q: 4. Using the limit definition find the derivative of f(x) = V

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Q: b) The shaded region W is bounded by the curve y = x² + 6 and the line x = 3 and 1 y =x +1 as shown ...

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Q: Write a full solution Let consider the following function: f (x) = 2(x + 1)^2 −8. A) Find the x...

A: topic - x and y intercept of a function

Q: et* +2e* e* +1 xp -

A: Topic = Integration

Q: 11:55 ll Untitled docu... ΑΛΑΑΑΑ Α ΑΑΑΑΑΑΛΑΑΑΑ Α ΑΑΑΑΑΑAAΑ ΑΑΑ 15. A function ƒ(1) gives the rate of...

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Q: Find the volume of the solid obtained by rotating the region enclosed by the curves y = x² + 2 and y...

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Q: 1. Find the area of the shaded region. 3 y = Vx X 4 y = -x а.

A: According to our guidelines, In case of multiple questions we are supposed to answer the first quest...

Q: Which integral would represent the area shown? AY 8 4 X 0.5 1 15 2 2.5 6 2xdx o (2r + 1) dx 6 (2x + ...

A: topic - application of integration

Q: Find (f 1)(a) for f(7)=0, f'(1)=-1, and a=0. -л -1 1/л -1/n

A: topic - derivative of inverse function

Q: 3. Use cylindrical shells to find the volume of the solid eenerated when the shaded region is revolv...

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Q: fin d valve of h the intervai (4.9)

A: We will solve for c. 

Q: Suppose g(x) = f(3+4(x – 5)) and f'(3) = 4. -

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Q: If the terminal side of a contains the point (-3,4) and the terminal side of B contains the point (1...

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Q: 1. Use the chain-rule and find x and ÿ in terms of x, i, and ä if: а) у3 4x? b) y= 10x3

A: To find y" in terms of x, x', x".

Q: f(x) = x2 + 4x – 5, x < -2 -

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Q: 12. Let f(x, y, z) = xy – 2³. Calculate the directional derivative of f at the point (3, -2, –1) in ...

A: We have to find direction derivative

Q: -3 is The quadrant of cos 5 O Quadrant I O Quadrant II O Quadrant IV O Quadrant II

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Q: d Az3+7z+8, 2. dz 3. (x)(3x² – 9) d

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Q: Use the definition of the derivative to find the derivative of, f(x)=6

A: topic - derivatives

Q: If f(x) find: 7+x2 f'(x)-

A: The solution are next step is

Q: 1 dx Va? – 6x + 34 Find -

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Q: 8²z 8. If z = x + y Inxy, show that x- 8 z + x² 8²z 8y² 8x8y

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Q: Use the function f(1) = a² – 4 to fill in the table: 2 f(z) 3 2.5 4.5 2.1 4.1 2.01 4.01 Based on ONL...

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Q: termine the equation of the curve whose tangent line at any point (x, y) i and passes A) y = e* + co...

A: We are asked find the equation of the curve.

Q: 2. Find the equation of the tangent line to the parabola y = x² – 8x+9 at the point (3, –6)

A: Given y=x2-8x+9 Formula: dydx(xn)=nxn-1 dydx(k)=0, where k is a constant Consider y=x2-8x+9 Differen...

Q: 3. Each side of a square is increasing at a rate of 6 cm/s. At what rate is the area of the square i...

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Q: Let f(z) = { - 4 + 9 if z 2 Find lim f(x), if it exists. 01 O DNE 00 02

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Q: 27 4 1422 Evaluate the integral: 36 - (A) Which trig substitution is correct for this integral? Ox =...

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Q: How could I solve this using shell

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Q: QUESTION 1 a) Find the interval(s) on which the curve f(x)= x°(x- 3) is increasing and/or decreasing...

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Q: а. (у* — %3D0 2ху)dx + 3x?dy

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Q: 0.3 0.6 0.9 1.2 1.5 h(q) 19 30 46 73 114

A: To find the h'(0.90), means calculate slope between [0.6,0.9] h'(0.90) = h(0.9)- h(0.6)0.9-0.6=46-30...

Q: What word or phrase best fits in the blank below? "If lim f(x) = L, then when x is near a the corres...

A: For limit to exist, Left hand limit (LHL) and right hand limit (RHL) both should exist and equal to ...

Q: ft along a straight, level road decelerates at a constant rate of 2 A bus travelling at 66 - ft F 22...

A: Given that: Speed of bus, u=66 ft/secDeceleration, a=-22 ft/sec2

Q: b) Evaluate each of the following integrals: 2 i) | cos(2x)dx, 4x3 -dx. 1+ x* ii)

A: Explained below 

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Q: if theta is the angle between the vectors V and W in R3, then the tangent of theta is equal to (V cr...

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Q: Let Q (p) : %3D p+1 (a) Calculate the derivative Q' (p) (b) Calculate the quotient Q (p + 4) – Q (p)...

A: Using derivative formula.