-3x cos (5x)dx

Q: 4. Solve the initial value problem 8+ 3y = sine 0 > 0, y(n) = -5. %3! de

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Q: ASK YOUR TEACHE Find sets of parametric equations and symmetric equations of the line that passes…

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Q: Find two unit vectors in 2-space that make an angle of 45° with9i + 4j. NOTE: Enter the exact…

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Q: he curve. + sin(tt)j

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Q: A. Given: lim f(x)=-9 lim g(x)= 2 2. lim[3h(x)–6] 4. lim[f(x)- g(x)+ h(x}] lim h(x)=4 x→8 x→8 x→8 1.…

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Q: What is area of a triangle is 1/2 square feet. base is 3/5 feet . What is the length of the base?

A: A = (base)(height)/2 1/2 = (3/5)(height)/2 height = 5/3 feet

Q: Consider the function f(x) 1 on the interval 4, 8]. Find the average or mean slope of the function…

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Q: given magnitude and the same direction as u. Magnitude ||v||-5 Direction u- (-4, 6, 4) Submit Answer

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Q: (a) Ratio Test: (n+1)! n=0 n+2 (b) Ratio Test: 51-n (n+ 1) n=1 5n2 – 2n +1 3n2 +n – 3 (c) Root…

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Q: a) Find the fifth term of the sequence 16 31 46 61 15' 21' 27

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: X/2

A: We have to find ∫3x2 dx.

Q: ii, Calculate the volume and surface area of a solid cylinder 1.5 m diameter and 2.5 m tall.

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Q: If f(0) = 0 and f'(x) E (0, 1]Vz E [0, 1] then ( red) %3D can not take values S(=)*dz

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Q: Find the following. = (3, 5) U = %3D (a) ||u|| (b) ||v|| (c) ||u + v||

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Q: ded above by surface z = 10 – x2, bou e planes y = 0 and y = 3.

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Q: Evaluate. (Be sure to check by differentiating!) 1 dx, x - 2 4 + 2x

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Q: Find Duf at P: f(x,y) = sin(8x – 5y); P (5,8); fi-) U =

A: we can solve this as follows:

Q: (c) Determine whether the following function continuous at point (1, 1). Justify your answer. (x²-xy…

A: To determine whether the following function is continuous at the point 1, 1.fx, y=x2-xyx-y  if x,…

Q: (b) f(x, y) = 3.03 + 3y2 – 4 ln y, a = 0, y = 1, dr = 0.01, dy = -0.01. since fa (x, y) = 3.3x-1+ 0…

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Q: Tutorial Exercise Evaluate the definite integral. Use the integration capabilities of a graphing…

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Q: Derivatives: using (4 step rule). 1. q(t)=10 + 5t – 1? 2. s(x)= 3-x ,2 4. f(x)=sin3xcos 3x 5.…

A: Note :As per our guidelines we are supposed to answer only one question if there are multiple…

Q: 3. y" +4y = 0; yıi =cos 2x, y2 = sin 2x; y(0) = 3, y'(0) =8 4. y" + 25y = 0; yı = cos 5x, y2 = sin…

A: Note : "Since you have posted multiple questions, we will solve first question for you. To get…

Q: 2 ax- J] ydydx 0 0

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Q: Find the vector v with the given magnitude and the same direction as u. Magnitude Direction ||v|| =…

A: A vector v with given magnitude in the direction of u is given by v.uu.

Q: Determine the value(s) of x where the slope of the tangent to g(x) = (x+ 5)(x² – 1) is -7. %3D

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Q: Use limits to determine all the linear asymptotes of 3x2 – 5 if a1. a² + 2x – 3'

A: Let's find.

Q: A RI) doliars is the total revenue from the sale of x television sets. Rx} = 600 x- Find the 20…

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Q: Verify that the two planes are parallel. -x + 6y + 3z = 8 1. x + 2y + z = 9 Find the normal vector,…

A: Let's find.

Q: 3. S w°cosw dw

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Q: C. VARIATION OF PARAMETERS 1. (D² + 1)y = secx tanx 2. (D2 – 3D + 2)y = 1 1+e-x

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Q: The sum of the geometric series 1 3-1+ 3 1 + 9. 1 +- 81 - 27 is: none 13 914 OO O

A: I am going to solve the given problem by using some simple calculus to get the required result of…

Q: List the first 5 terms of the sequence. 32 + 3n3 22 1 (а) ап — 3n3 n2 + 3n3 4 (b) (-2)n+1 + 3n 3n3…

A: a)an=13n3+223n3+323n3+......+n23n3b)4-2n+1+3nn=1∞

Q: Consider the following. u = (2, -1, 0) v = (-2, 3, 0) Find u x v. Determine if u x v is orthogonal…

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Q: 3- x 3) dx → S2xe* dx

A: To evaluate the given integrals.

Q: Find the volume of the solid that results when the shaded region is revolved about the indicated…

A: We have to find the volume of the given region according to the given information

Q: Find the intervals on which the graph of f is concave​ upward, the intervals on which the graph of f…

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Q: Find cos 0, where 0 is the angle shown. Give an exact value, not a decimal approximation. cos e = 17

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Q: Verify that the two planes are parallel. -x + 6y + 2z = 4 -*+ 3y + z = 5 Find the normal vector, n,,…

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Q: Find T(t) and N(t) at the given point. r(t) = = 8 cos(t)i + 8 sin(t)j; t 3 T 3 N(5) = 3

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Q: a. Use the substitution u = e and partial fraction decomposition to derive the following integration…

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Q: Determine Y for y= 5x²(1 + x²).

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Q: x2-25 The limit of the function f(x) = as x approaches 5 is equal to -10. 5-x TRUE FALSE

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Q: Find the area of one petal of the rose curve r = 3 cos 30.

A: Let's find.

Q: dx x2 + 6x + 25

A: This question is based on definite integral.

Q: Use a double integral in polar coordinates to find the volume V of the solid bounded by the graphs…

A: Given problem:- Use a double integral in polar coordinates to find the volume V of the solid bounded…

Q: Find the derivative of the function described. (Rx5) 4х-2 5. у 3 3x+4

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Q: 2. For each of the following, state whether the equation is ordinary or partial, linear or…

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Q: Tor each of the following series determine if the series conv or series convergence or divergence.…

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Q: Y thenumber of Limits of. E -63? gontric k series Skz Ak=7 B に2 6 Ok26 No if the above.

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Q: Find r'(t), r'"(t), and r'(t) · r"(E). r(t) = (t2 + 7t)i – 2t?j (a) r'(t) (b) r"(t) (c) r'(t) ·…

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