Evaluate: Jycos2ydy 글/sin2y-글ycos2y+ sin2y+C A B Sysin2y+ycos2y+sin2y+C © snzy-ycoszy-snzy+c ysin2y+ycos2y-sin2y+C D

Q: (x+1)dx If (x+2)(x – 1)² B dx ,the values of A & C respectively are (x-1)2 X- 1 A True B False

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Q: Given: tan z = - and z is in Quadrant IV. Find the exact values of sin (), cos (). and tan (5)…

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Q: dx Using half-angle substitution, the integral is equivalent to 2+ sin x dz A 1+z+z? dz (B (1+z)? ©…

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Q: sing trigonometric substitution technique, the simplified integral after substitution is: x² - 4 A…

A: To solve the following integral

Q: Evaluate: Je*cos(7e")cos(4e*)dx. 1 1 + 22 1 22 sin(3e") - sin(11e") + C 22 © -cos(3e*) – -cos(11e*)…

A: See the answer below

Q: The only solution to evaluate dx is using algebraic substitution technique. 3+ A True B) False

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Q: Using the limit definition of a derivative find the derivative of f(x)= the square root of 4x-3.…

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Q: 4+4 n i) The sequence { ") is bounded by 3 n ii) The 11 th. element of this sequence is

A: We will the upper and lower bound of the sequence and the 11th element of the given sequence as…

Q: x4dx Using trigonometric substitution technique, the simplified integral after substitution 4 @…

A: ∫x4x2-4dx=∫x3xx2-4dxLet θ=arcsec12x.=∫ 16sec5θdθ

Q: 2r+3, x<I f (x) dx if ƒ (x) = 5, Evaluate

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Q: dx Using half-angle substitution, the integral is equivalent to 2+ sin x dz A 1+z+z? dz B (1+z)² ©…

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Q: Use Theorem 7.4.1. THEOREM 7.4.1 Derivatives of Transforms If F(s) = L{f(t)} and n = 1, 2, 3, ...,…

A: Given: L(te-12t)..

Q: Question 17 (3x²+&x – 12) dx In the complete factored form of the denominator is x(x+4)(x+3). x3+…

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Q: Find 2f (x) dx jf f (x) dr=2 and f (x) dr= - 6

A: We have to find out

Q: If h (x) = cosxdx and h =4, then h (0) is equal to

A: answer is in step 2

Q: dx The antiderivativeof |- x +5 is 2- Sin|Vx +s| +C. A) True B False

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Q: Numerically integrate f (x) = x³ + 3x? + 4x = 2 using Single-Trapezoidal Rule. 6 from a = 1 and b -…

A: (1) solution

Q: ,Insec2 (sin2y), dy Which of the following is one of the correct steps to evaluate the sec2y -…

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Q: Which of the following is one of the correctIconvenient steps to evaluate| cot-4dx_which will yield…

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Q: x[cosh?(2x2) – sinh²(2x²) ]dx is equal to A) x?dx B None xdx D dx (E) 4 xdx

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Q: Make a complete graph of the following function on the given interval. Use a graphing utility to…

A: f(x)=x-3cosx on -2π,2π

Q: Find an equation of the inverse relation. x=y² - - 7y Choose the correct equation below. O B. y=x -7…

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Q: Vy²– 25 The result of the integral in 0 given dy is 5 tane – 50 +C, y

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Q: Determine the interval of convergence of the following power series: * (z- 2)" Vön n= Answer: Click…

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Q: x- dx Using trigonometric substitution, the integral is equivalent to A 4 sec20 tand do /2 B 4 tan-e…

A: As per the guidelines, we are supposed to answer only one question at once. Kindly repost the other…

Q: Using reciprocal substitution x=-, the integral -dx reduces to (z- 1) 1/3 © -/t- dz 1/3 © - /(?-1)…

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Q: Consider the series 3 4n n=1 Determine whether the series converges, and if it converges, determine…

A: The given series,           ∑n=1∞34n

Q: 5 sin e cos ede 2. sin' 0+3 sin 6 -4

A: ∫5sinθcosθsin2θ+3sinθ-4dθ=5·∫sinθcosθsin2θ+3sinθ-4dθLet u=sin θ.=5·∫uu2+3u-4duBy partial…

Q: (4x2+ 5x4)dx By method of partial fraction, the integral | - can be evaluated when expressed as…

A: We find out the partial fraction decomposition of given integral. Follow 2nd step.

Q: 3. lim f(x) = x³ - 1 %3D X 1 х-1 X approaches 1 from the left- -x approaches 1 from the right 1.001…

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Q: x[cosh?(2x²) – sinh²(2r²) ]dx is equal to A xdx B xdx x²dx D None E dx

A: To find the given integral is equivalent to which integral.

Q: Question 9 x2 – 4 dx Evaluate: ,2 - 4 + sec C %3D В Vx2 – 4 + 2 sec® + C © =2/ x2 – 4 + sec -1 +C D…

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Q: raluate each of the following indefinite integrals: Show complete and detailed solutions. Expr swers…

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Q: Find the vector PQ × PR if Р%3 (7,7,0), 0- (1,7,—1), R = (3, 2, –4) (Give your answer using…

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Q: Question 4 sin'x cos'x dx Evaluate: (1– sinx)²(1+ sinx)? Can't be evaluated sin"x sin 10% +C 10 sin…

A: To find out the integration.

Q: x dx is equivalent to 5+x If we let =V |5+x, the integral A u (5 = u²) du В u (u² – 5) du | 2(u²– 5)…

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Q: Evaluate the integral using the Fundamental Theorem of Calculus, Part I. (Use symbolic notation and…

A: We will solve as follows

Q: dx The only solution to evaluate is using algebraic substitution technique. 3+V. (A True B) False

A: To find whether given integral can be solved only by algebraic substituion technique

Q: sin?u In tan"udu, where m is any positive integer, we use the transformation for tan?u= cos?u A True…

A: We have to choose the correct option according to the given information

Q: 3 Which of the following is equal to sec 2 x tan?x dx to obtain the correct indefinite integral? A)…

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Q: 12

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Q: What is the general solution for following differential equation? y′−x=8 (Do not include the "+C"…

A: Find the general solution for following differential equation?   y′−x=8

Q: 1 - tan³3r - ( ? ) tan3r +r + C, then find the missing ( ?) term. 9. Af ter evaluation, is / tan…

A: To solve the following integral

Q: sin'x cos x dx Evaluate: (1– sinx)²(1+sinx)² sin 10 +C 10 A sin8x sin 10x +C 10 B 8 sin8x +C 8 D)…

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Q: Find the absolute maximum and minimum of the function f(x,y) = 7y + 64x - 3 over the closed region…

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Q: Find the absolute extrema of the function on the interval [2, 10]. (Round your answers to the…

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Q: Question 1 To evaluate sin 2r cosº2xdx conveniently, the formula identity to be used is/are A cos 2r…

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Q: Question 6 To begin evaluating J sintrecor^rdx comvenienty, express: sin'x as (sin²x) ²and use the…

A: Here we put cos^5x as (cos^2x)^2 cos x and then  Use the identity cos^2x=1-sin^2x.

Q: sin?u In tanmudu, where m is any positive integer, we use the transformation for tan?u= cos?u (A)…

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Q: The marginal cost for a company to produce q items is given by MC(q)=0.004q^2−0.8q+635. The​…

A: Given that the marginal cost for a company to produce q items is given by       MC(q) = 0.004q2 -…