y" + y = tanx

Q: Use the table to the right to find the given derivative. d xxx) 1x=5 (Simplify your answer.) |x=5 X…

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Q: The integral dx (x²+4)² sec ³0 de sin ²0 de ° csc ³0 de ° Scos²0 do can be transformed to which of…

A: Here we have to transformed the given integral.

Q: D +00 [+0⁰. Evaluate: A B 0 C) None 1 +∞ (divergent) E ex dx

A: We have to solve above integration

Q: Let g(x) be the function 7x² - 6x + 6 . Then the quotient to ah + b. What are the values of a and b…

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Q: Stan" (x) sectx dx -tan (m + 1)(x). _¹_ -tan (m-1)(x) + C m+1 m-1 ¹__tan (™ + 2)(x) + —tan” (x) + C…

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Q: -x² 9 d. f (x) = xe [0, 5]. e. f(x) = |x² − 4], [0,3]. sin x f. f(x) = = [-ㅠ -π, π]. x² + 1

A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions…

Q: Calculate the area of the smaller region (to the left of the parabola) bounded by (x + 5)2 = 2y, the…

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Q: Evaluate • O Stan" (x tan O m+1 1 m+3 1 m+2 m+1 "(x) sec¹x dx n (m + 1) (x) — __ ¹ (m+3)(x) + n (m +…

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Q: Find the area bounded by the curve y=-x³ 1 - 16 A 8 square units B 16 square units 10 square units 4…

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Q: x2 £f* dx X A) True B False tan 1²d/= 2x tan.x²

A: We have to find derivative of given integral.

Q: Evaluate sin (Inx) dx- Integration by parts will be used repeatedly. What is the expression after…

A: Given ∫sin (ln x) dx Let I=∫sin (ln x) dx By using integration by parts method,∫udv=uv-∫vdu u= sin…

Q: ·S= 3x5 3x4+6x33x2 - 6x + In Evaluate O x² - 4x 2 O x² - 4x 2 O x2−2x 2 x²-2x-In + In -dx using…

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Q: The most convenient way to evaluate A True B False S 2x-3 x²-3x+5 -dx is use Integration by Parts.

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Q: 12. S e 3In(2x-1) 2x - 1 - dx

A: The given integral is: I=∫e3ln2x-12x-1dx   As we know the Power Rule: ∫ax+bndx=ax+bn+1an+1+C

Q: For x 1/2 dx and using the substitution = x 1/2, the resulting integral takes the form: 4u -du 4-u U…

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Q: Question 20 x 1/2 For S dx and using the substitution = 1/2, the resulting integral takes the form:…

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

Q: What is the of y = (tan-¹4x)² ? 2 - 2tan ¹4 1+16x² 1 8tan ¹4x 1+16x² 2tan-1 ¹4x 1+16x² -1 8tan ¹4x…

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Q: 50 50 [ ³0 (ax³ + bx² + cx) dx = 2b [³ -50 (A) True (B) False x²dx

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Q: (в Suppose m and n are constants and m #n. Evaluate 1 (A) √ [n² m² -cos(m− n)x-- -cos(m+n)x] + C m+n…

A: To solve the given integral.

Q: fx²cc use integration by parts. What is the expression after the second integration by parts? x2sinx…

A: Solved below.

Q: 10. 3 J√cos z sin ³ zdz COS

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Q: efsin (In sin (Inx) dx. Integration by parts will be used repeatedly. What is the expression after…

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Q: fsinx cos/x Зл А 256 3 (В 512 (C) None Зл (D) 512 3 E) 256 -dx is equal to

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Q: Secor, x²cosx dx use integration by parts. What is the expression after the second integration by…

A: We have  to solve above integral

Q: 100t Consider the population function p(t) = t+9 a. Find the instantaneous growth rate of the…

A: The given population function is pt=100tt+9.   a. The objective is to find the instantaneous growth…

Q: QUESTION 1 Consider x sinx cosx dx = f(x) sin2x - g(x) cos2x + C. What is the value of f(1) + g(1)?…

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Q: The volume of the solid generated by revolving the region bounded by x2= 4y and y2=4x about y=4 is…

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Q: = fx²coss x²cosx dx- use integration by parts. What is the expression after the second integration…

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Q: What is the change of y with respect to x of the function s(x) = (3x¹ + 9x³)(x² - 6x +9) ? -9x²…

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Q: What is the value of f(1)-16B in [x³ Inx dx = f(x) ((1/4) Inx-B) + C?

A: Please follow the next step.

Q: 24) + C

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Q: The volume of a cube can be represented using the function V(s) = s³ Which formula of the sphere is…

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Q: Exercises To Solve 3-2x-x²

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Q: 25

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Q: QUESTION 18 The volume of the solid generated by revolving the region bounded by x2=4y and y2-4x…

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Q: dx (x-3)² (A) None B 0 C ∞o (does not exist) - 1 1 S Evaluate: D E

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Q: 5. 4 f sin + 2zdz

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Q: Consider J x sinx cosx dx = f(x) sin2x - g(x) cos2x + C. What is the value of f(1) + g(1) (A) 1/2 B)…

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Q: An object moves with velocity as given in the graph below (in ft/sec). How far did the object travel…

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Q: The volume of the solid generated by revolving the region bounded by x²=4y and y2=4x about y=4 is to…

A: Given

Q: For 1/2 U -dx and using the substitution -du -du 4u √4-(2u²) ² 4u du -du 1/2, the resulting integral…

A: In this question, we want to know the Integral form after substitution.

Q: A balloon is released from the ground 100 meters from an observer. The balloon rises directly upward…

A: We have to choose to correct option

Q: Question 18 Find - y dy (y + 2 A(√y+2-5) (5√/y+2+y+24)+C А Ⓡ(√y+2-5)(-5√/y+2+y+21)+C B Ⓒ(√3+2-5)…

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Q: The volume of the solid generated by revolving the region bounded by x2=4y and y2=4x about y=4 is to…

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Q: Evaluate A B e Stam" (x) sec³x dx- -tan (m+3)(x) + m+3 1 m+2 -tan (m + 2)(x) + m −tan (m + 1)(x) — —…

A: Solved below.

Q: What is dy/dx of the given function ³ - 2y² = 6 ? 0-²2 3:² CHE o 3,212

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Q: What is the value of f(1) - 16B in 1 x³ Inx dx = f(x) ( (1/4) Inx - B) + C? 0 2

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Q: Consider J x sinx cosx dx = f(x) sin2x - g(x) cos2x + C. What is the value of f(1) + g(1)? A) 1/4 B)…

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Q: 19. The volume of the solid generated by revolving the region bounded by x²=4y and y2=4x about y=4…

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Q: Evaluate the following. 1. [(sec 3x+cos3x)² dx

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