cos x Given: tan x dx. Using trigonometric transformation , the integral in terms of u is sin x Cos4 1 т( и " + n (u" ) + C Find the sum of m and n.

Q: [ 2x4+3x2 - 1 dx as Rewrite integral of sum of partial fractions. (x3 – 4x² + 5x)?

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Q: Find the first partial derivatives of the function. x5 - y5 x° + y f(x, у)

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Q: |(x+3)°(x+b)d dx is In 3x2 +8x– 12 The resulting integral of + C, where a, b, d, and e are integers.…

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Q: Differentiate. g(x)=x°cos x

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Q: Differentiate the following and simplify: y= log, (sinhe") h(x)=3sinh(1–3x² )cosh(1– 3x² ) 1. 2.…

A: As per bartleby guidelines we only give first question answers.

Q: Write a in the form a = a- T+ anN at the given value of t without finding T and N. r(t) = (t + 5)i +…

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Q: The slope of the tangent line at any point (x, y) on a curve is 2 If the point (9, 3) is on the…

A: Given that the slope of the tangent line at any point (x,y) on a curve is 2x. So, dydx=2x=2(x12)

Q: Answer the following True or False. Letting u 4 1' produces: .2 2.x d.x. z2 1 du. 4. True False

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Q: Determine the general equation of the plane 2 passing through the point P (1, -4, -5) and parallel…

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Q: Find the points on the ellipse 5x2 + y² = 5 that are farthest away from the point (1, 0). smaller…

A: To find the points on the ellipse 5x2+y2=5, that are farthest away from the point 1, 0.

Q: 3. Evaluate the lim(2x – 7). x-4 а. lim(2x — 7) %3D 2 x-4 b. lim(2x – 7) = 1 с. lim(2x - 7) %3D7 x-4…

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: 4 x² +4x-5 dx= find the new limits of integration. Using Trigonometric Substitution f(e) de x+2 TT O…

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Q: Find the point(s) on the graph of f where the tangent line is horizontal. f(«) =x°c* (0, 0), 9, 99…

A: We need to find points where tangent is horizontal.

Q: Find the derivative of the function. f(x) =-4x2+x+ 6

A: Consider the function  f(x)=-4x2+x+6

Q: s2+3 1. (s-3)(s+5)(s-1)² s2-s+3 s3(s+5)(s-2) s-8 (s-3)(s²+2s+17) (s+1)²(s²–4s+85) s² +5s-2…

A: let's solve option (2) L-1 s2-s+3s3s+5s-2 By partial fraction, s2-s+3s3s+5s-2=As+Bs2+Cs3+Ds-2+Es+5…

Q: Suppose that f(x) is a differentiable function satisfying the table below. 0 2 f(x) | 1| 2 | 12 | 7…

A: The objective of the question is showing that there exist at least one x=c for which f'(c)=5.

Q: Question 4 When x°cos (x²)dx is evaluated using IBP, the value of J v du is? A B -cos (x2) cos (x2)…

A: We need to choose correct option.

Q: tan (x) cos (x) 1 tan (x) +tan°(x) + C tan'(x)7tan?(x) +9]+ C 36 O 1 1 tan (x)-tan'(x) + C O…

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Q: Ssin(x)cos(2x)sin(3x) dx O sin(6x) sin(2x) , sin(2x)cos(4x) 24 8 8 + 4 sin(3x)cos(3x), sin(2x) +…

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Q: Find the length of the following curve. If you have a grapher, you may want to graph the curve to…

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Q: (x In 2x dx = u v- Jv du -Svdu- Using Integration By Parts, Fand uv- fvds uv- Jvau 3 3 xVX In 2x-V지…

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Q: Using Integration By Parts, x3 Vx² + 4 dx = u v- -Svau - Svdu- بی تر ر ترا Find UV- 3 1 .x2 (x2 +…

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Q: Use differentials to approximate the value of (3.01)2 + 2(0.99) – 3 in four decimal places.

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Q: Scots x csc?x dx esc" x - csc", -7csc x + 5csc esc" x +csc" x -csc? x + C x csc³x 1 X + c³ x + C 1 1…

A: Solve by integration method

Q: Using Integration By Parts, 2x² e3" dx = u v - |2x2 e3" dx = u v-, -Svau Find u v- Sv du · x3 e 3 dx…

A: Integral

Q: Consider the statements: P:= Today is Monday. Q:- Amy has no classes. R:= Tomorrow is a busy day.…

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Q: The velocity of an object is given by the following function defined on a specified interval.…

A: Given  v = 1(2t+2)m/s   for 0≤t≤8 ; n =4 Displacement = ∫081(2t+2)dx Number of subinterval = 4  h =…

Q: x² + 4x – 5 dx = Using Trigonometric Substitution :| f(e)de find the new limits of integration. x+2…

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Q: x² + x +2 dx - x2 – 1 Evaluate (х-1)2 + C x+1 x+ In- x+1 In- + C (x – 1)2 (x – 1)2 In- X+1 x+1 +C x+…

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Q: x² + 2x- 10 (2 dx = x² (x² + 4x + 5) (2x + 4) + 1) (2x+ 4) +1) x2 + 4x + 5 x2 2 Consider dx -…

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Q: 3. da I² + 52 Integrate:

A: To solve the following problem

Q: Evaluate the definite integral. 1 5x +6dx

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Q: per.)

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Q: dx Using Trigonometric Substitution -sin e+C express the answer in terms of x. (x² + x + 1)7 4х+2 +C…

A: Given ∫dx(x2+x+1)32=43 sinθ +C

Q: sin- dx 32 cos:주-Scos)+기+ c 35 32 + C COS 7 4 32 32 .coss(수)+C 32 cosS 4 35 Ssin +2 +c

A: The correct option is (3).

Q: 2) Convert the following rectangular equations to polar equations. a) x² - y = 3y b. 9xy = 1

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Q: Evaluate the indefinite integral. sin (r)cos(r)da + C

A: Explained below

Q: Let V represent the volume of a cone with radius r cm and height h cm. Write an equation for V (in…

A: Let V represent the volume of a cone with radius r cm. To write an equation for V in cm3 in terms of…

Q: What change of variables is suggested by an integral containing * V25 + x²? O a tanø O none of the…

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Q: Evaluate the definite integral. esin (a) cos(x) d x

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Q: (V9- x2 dx using Trigonometric Substitution what is dx ? x2 Consider 3 cos e de 3 sec e tan 0 de 3…

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Q: 7 -4 Consider the surface x'z* + sin(y zª) + 9 = 0. Use implicit differentiation to find the…

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Q: dt (t +7)

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Q: Find the absolute extrema of f(x) = x − 2 tan^−1 x on [−1,√3], and identify the values of x at which…

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Q: 12. The slope of the curve y = x2 - e-* at its point of int A. -In 2 В. C. 2+In 4 D.

A: Given query is to find the the slope at inflection point.

Q: What are the polar coordinates of the point Q shown below? 1 2 3 4 5

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Q: A doll-manufacturing company wishes to create a display box with a square base and open front side.…

A: Let's find.

Q: 1. Cosxdx Rubrics: Integration process Antiderivative Substitution of limits Computed/Analysis of…

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Q: x³ + 6x² + x+2 s ax + In[cx + 1}*(x² – x + 1)°| + fx-1 Tan-1. V3 The resulting integral of x³ +1 +…

A: use simple integration formula.

Q: Find the limit. NOTE: Enter the answer using round brackets. t2 + 2 1 lim t++00 \ 5t2 + 6'4t (?, ?)

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