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Q: EVALUATION Directions: Find the derivative of the following functions. Choose the best answer from…

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Q: (x + y)dx + (x – y) dy = 0 %3D

A: A detailed solution is given below

Q: Instructions: (I) Use Limit Laws to find the limit of each given problem. (II) You may only use…

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Q: Prove the identity sin x cos²x+ sin?x algebraically and CSC X determine the non-permissible values…

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Q: -2 e* sin(x) -dx 1+ x2

A: the solution is as follow we will solve the given problem by numerical method  Trapezoidal rule

Q: Billy savings account is currently $200 overdrawn. Billy plans on depositing $75 each week for the…

A: It is given that Billy savings account is currently $200 overdrawn and he plans on depositing $75…

Q: GIVEN : 2x 2х - 2x ) + 6 1 1 f (x) = 1 --x 8 g(x) = 3(x + + 4 h(x) = 6 - || 3 a.lim -4 · f (x) d.lim…

A: For (a),     limx→2-4 f(x)=limx→ 2-41-18xPlug in the value x=2=-41-18· 2=-3

Q: Find the point of intersection of the line through (1, -4, 1) and (4, -10, 5), and the plane given…

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Q: Evaluate the indefinite integral.

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Q: Solve the polynomial equation by using the root method, and check the solutions graphically. 3x3 -…

A: Explained below

Q: In dx

A: Given: I=∫lnxx2dx   As we know the Power rule: ∫xndx=xn+1n+1+C

Q: e following: (x) = 2 + x – x², [a,b] = [0,3], p = 1 %3D he two conditions of the IVT are satisfied.

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Q: Find two unit vectors in 2-space that make an angle of 45° with 7i + 6j. NOTE: Enter the exact…

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Q: Evaluate the following integral using trigonometric substitution. dx b. S- (5+2x+ x²)5

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Q: Determine whether the lines Lj and L, are parallel. Lj: х%3D 3 — 31, у %3D 5 + 1, L: х%3D6 — 9t, у…

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Q: Find the values of p for which the series is convergent. (Enter your answer as an inequality.) 00…

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Q: 23. Integrate: S x+2 dx 2 A. V1– x² + Sin-1x + C C. -V1– x² +Sin-1x + C B.V1 – x2 +Sin-1x + C D. –V1…

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Q: Find an equation of the plane through (0, –9, –1) that is perpendicular to the line x – 2 = 3t, y +…

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Q: Suppose the graph y = f(x) lies entirely above the r-axis. Which of the following gives the correct…

A: The correct answer is option (d).

Q: (b) (–1, 1, –V2)

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Q: A В Use the method above to find the distance from the point P(-3, 1,8) to the line through A(1,…

A: Given that the point P(-3,1,8) to the line through A(1,1,0) and B(-2,3,-4)  To find the Distance

Q: Find two unit vectors in 2-space that make an angle of 45° with 7i+ 6j. NOTE: Enter the exact…

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Q: Find the area of the parallelogram that has u = 2i – j+ 2k and v = 2j + 3k as adjacent sides. %3D…

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Q: Set up a definite integral that represents the indicated shaded area over the interval [c,d].…

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Q: Use vectors to find the lengths of the diagonals of the parallelogra that has i + j and i – 18j as…

A: Given query is to find the length of the diagonal.

Q: any method to determine if the series converges or diverges. Give reasons for (n!)8 Σ (7n)! = 1

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Q: [p'(8+3p*)®dp

A: Given: I=∫p78+3p48dp  ...1   The Power rule: ∫xndx=xn+1n+1+C

Q: Evaluate the indefinite integral. ea dx Integral =

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Q: Consider the function f(x, y) = 4x² – 8y² subject to the condition x + y = 25.

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Q: Find an equation of the plane through (0, –9, –1) that is perpendicular to the line x – 2 = 3t, y+3…

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Q: Solve for the projection of the vector P = (3,4, 4) onto Q = (0, –2, –5). What is the exact measure…

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Q: Let a = ci + jand b = 3i + 4j. Find c so that the angle between a and bis- Round your answers to…

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Q: Find F'(x). dt F(x) = Js F'(x) = -|2

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Q: Give the parametric and symmetric equations of the line that passes through the point (4, –3, 5) and…

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Q: 8 sec 0d0 3. S V4 + 4 cot2 0 is equal to A. 4 ln csc 0 + C В. 4 In sec ®+ С C. 4 In cos 0 + C D. 4…

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Q: Calculate the area of the circle r=18sinθ as an integral in polar coordinates. I have this…

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Q: ecot x 20. J sin² x(e- cotx) ax is equal to A. ecot x 1 + C ecot x C. -ecot x + C D. –ecot x + C

A: Given problem:-

Q: dy x(x+ 1) Solve and find the particular solution when y(1) = 3 %3D dr

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Q: АCTIVITY GIVEN : 2x 2x 1 2х + 3 1 f (x) = 1 –x 8 g(x) = 3(x + + 4 h(x) = 6 a.lim -4 · f (x) d.lim (8…

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Q: Find the distance between the parallel planes – 2x + y + z = 0 and бх — Зу — 32 -13 — 0. %3D

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Q: is 8 g/cm while a

A: answer is in next step

Q: Determine £(F}. F). 21 4s-18s +6 F(s) = %3D s(s-5)(s-6)

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Q: State the domain of each piecewise function in question 3, and comment on the continuity of the…

A: Given query is to find the equation of the function.

Q: Evaluate the indefinite integral. x° (x® + 1)1/2 dæ Integral = INOTE: Remember to enter all…

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Q: where k > 0. 4. s(s-k)'

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Q: Part 2: Exponential Growth and Decay and Logistic Growth Model (3) Suppose an experiment was…

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Q: what is the maximum value of the function y=-x^3+3x for x ≥ -1

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Q: 10 | f(=)de – f(=)dz = | f(2)dx What are the values of a and b? a = b =

A: The objective of the question is determine the value of a and b.

Q: Find the general solution of ydy/dx =2/(3x²). O a. y? = -4/3x + C O b. y?/2 = 2/3x + C O c. y²/2=…

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Q: S sin x In(cos x) dx

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