s dx ²√x² x² - 81 x² x = 9 sec (0)

Q: If In(x + 3) = 3, then x O 3e3 0 e3-3 03e-3 00

A: Given, ln (x + 3) = 3

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A: We know that the slope formula between two point (a,b) and (c,d) is  Slope (m)=(d-b)/(c-a)

Q: 4. Evaluate the integral: 1 (x³ + 1)³6x² dx S= Type U U'

A:

Q: What type of polar curve is the polar equation r = 3 - 3 sin (0)? rose O lemniscate limacon cardiod

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Q: Consider the region bounded by the graphs of y = (a) Find the volume of the solid generated V = (b)…

A: According to question,Given Function,y = 2xx2+1

Q: Complete the computations in Exercises 5-8. 5. (6,0, 5) + (5,0, 6) = 6. (0,0,0) + (0,0,0) = 7. (1,…

A:

Q: FIND THE INTEGRAL BY THE METHOD INDICATED: Notes: By Parts formula: 1. (BY PARTS) udv= = uv -Svdu […

A: The given integral is x(x-3)4. Integrate the integral by parts formula.

Q: 20. lim x-0 cos mx 2 x² Cos nx

A:

Q: The first line does it read d/dx(x^h)=h*x^h-1 ????

A: The given rule ddxxh=hxh-1. We have to explain the formula.

Q: 4. The formula A = P(1 + i)" gives the amount, A, of an investment of P dollars after n years at 1%…

A: As per the problem the amount A of investment P after n years at i% interest compounded yearly is…

Q: Determine whether the improper integral diverges or converges. [² x x²e-x dx

A:

Q: What is the partial fraction decomposition of the function 2x+4 x² (x²+4) ?

A: The given function is:

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Q: Scot³ (x²) csc² (x²)x dx Туре u u |

A: To evaluate the following integral. ∫cot3x2 csc2x2 x dx

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A: The bus stop is across a grassy park. It is 1500 feet west and 500 feet north of her starting…

Q: Evaluate the integral. (Use C for the constant of integration.) [₁ 7 tan²(x) dx

A: We have, ∫  7 tan2xdx

Q: Given cos(x): 11/123 on the interval [0, 2π], what is the value of x?

A:

Q: Given one form a line, match it with its equivalent equation in another form. = 0 { y = 1 Z=t 1. 2.…

A: We are given a line in 3d space  x=0 y=1 z=t We are to find the general equation of the given line

Q: ƒ ( 1 ) = 1 ² 0 1²) find f' (2) (2 decimal places) Using the Product r

A:

Q: Use the precise definition of the limit to show that lim . x→2 x2 + 4x − 5 = 7

A: Using the definition of limit we have to show that:  limx→2 x2+4x-5=7

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A: Two matrices are said to be equal if they have the same order and the corresponding elements are…

Q: Find two unit vectors orthogonal to both (2, 8, 1) and (-1, 1, 0). (smaller i-value) (larger…

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Q: Find the local linear approximation of f(a) = 2√ at x = 4. Oy=(x-4) O y-2√x-4 Oy=4 Oy=x+2

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Q: The pulley wheels are subjected to the loads shown. Determine the equivalent force-couple system at…

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Q: 11. Use a table to find the Taylor polynomial P3 (x) for f(x) A. B. P3 (x) = Use the series to…

A:

Q: Find the future value if $15,000 is invested for 7 years at 10% compounded continuously. If needed,…

A: Find the future value if $15,000 is invested for 7 years at 10% compounded continuously. If needed,…

Q: Does the series converge or diverge? Please justify your answer in detail, mention any tests you…

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Q: What is the value of the parameter ein f(x) = a-b²+e? O

A: we have given graph. We need to find the equation of graph.

Q: For the function, evaluate the given expression. y) = \n(x² + y²), find g(0, e) g(x, y) g(0, e): =

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Q: Find the formula for dif dx ln(x² + y²) = xy² + 1.

A:

Q: The cost to ship a package overnight is $14.40 for the first pound and $3.90 for each additional…

A: Given :-f(x)=14.40 , 0<x≤118.30 , 1<x≤222.20 , 2<x≤3 To find :- The limit as x→2

Q: 3. S sinxdx 7+ cos²x

A:

Q: Use the Chain Rule to find az/as and az/at. Z = tan(u/v), u = 8s + 2t, дz as дz 34 || || v = 2s - 8t

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Q: 10. lim 1-0 e³1 - 1 t

A: We have to find the limit: limt→0e3t-1t

Q: Find the 4 th Taylor polynomial of f (2) = Ti ( z ) - N s ( 2 ). If zg= 0 COS N

A: Solving the problem

Q: 5. Evaluate 3x 4e³x -dx 3x e³x +1 S-

A: given integration ∫ 4e3xe3x+1dx

Q: Part 1 Find the binomial coefficient. 7C5 20C15   Part 2 (Use the binomial theorem to expand…

A: Binomial Theorem: a+bn=C0nan+C1nan-1b+C2nan-2b2+C3nan-3b3+......+Cnnbn. Binomial coefficient:…

Q: I. Determine if the differential equations are linear or non-linear. 1. y'-(sin x)y=e* 2. y'- y² = x…

A: NOTE: Refresh your page if you can't see any equations. . The standard form of the first-order…

Q: Use the method of partial decomposition to perform the required integration. S 148 dz 2²46

A:

Q: Given cos(8) = for << 플 thentan(0) = 3 +|m ○ -3 4 4

A: Given: cosθ=-35, π&lt;θ&lt;3π2 We are required to find: The value of tanθ.

Q: Use the substitution z = 6 sint, 1 36-22 dz (a) Calculate √√36-22 in terms of t. ≤t≤to simplify the…

A: We have to evaluate the integral : ∫136-x2 dx using the substitutionx=6sint, -π2≤t≤π2.

Q: The Ninth Gate You arrive at the final gate, which leads into a building-like structure. You hope…

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Q: Making this substitution using [₁ gives us 10 sin²(x) cos³(x) dx 10 10 sin²(x) (1 - sin²(x)) cos(x)…

A: To evaluate the following integral. ∫10 sin2x cos3x dx Note: After seeing the previous solution, we…

Q: The demand x for a good is related to its price p via the function: At what quantity will total…

A: Solving the problem

Q: Find the directional derivative of f (x, y, z) = 2z²x + y³ at the point (1, 2, 2) in the direction…

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Q: A ship leaves port at noon at a bearing of 143°. The ship's average rate of speed over this time is…

A: A ship leaves port at noon at a bearing of 143°.  The ship’s average rate of speed over this time is…

Q: What is the volume of the 3D region obtained by rotating the following 2D region around the y-axis…

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Q: PROVE OR DISPROVE THE FOLLOWING 3 1²/2 8 d dx x + 8 sinxcosx + cos³xsinx) = cos x

A: We need to verify the given expression.

Q: thank you for the explanation but i think you misunderstood me the exam is an mcq exam of 25 minutes…

A: Given integral,I=∫011(x-2)x2+2xdxWe need to find whether the given integral converges or diverges…