find the values of λ for which the determinant is zero. 2 λ + 1 0 0 1 O(-1, 1, 1) O(-1, 1, 0) O(-1, 3, 1) O(-2, 1, 0) 120 Naut

Q: 10. 2 x² +8 X + 2 אן dx

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Q: 20. S dr √3-4r-r²

A: On solving this we will get

Q: +√√² cas² S 4 cos²20 de is One of the correct steps to evaluate @ 1²00-1/²160²20 4 de- A sin²20d0 Ⓒ…

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Q: Question 4 Solve y at x=1. dy/dx - 2(x+1)^3 = 4y/(x+1)

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Q: 1. Find the limit, if it exists.If the limit does not exist, explain why. (a) lim √√²+1²+1+3z² z²+1…

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Q: 20. For A. B. C. D. S x1/2 dx and using the substitution u=x1/2, the resulting integral takes the…

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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: π 5″ Find the area bounded by the trigonometric curves y=sinx and y=cosx from x=- to x = 4 4 A.…

A: This question can be solved using the concept of area bounded by two curves.

Q: If •S" (x + 5) dx = 14, then the value of b is equal to A) None B 2 C 4 D -3 (E) 3

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Q: 4 b. [√x ln xdx, 1 4 ㅠ C. fx√4-xdx, d. fx sin (2x) dx. 0

A: Solve the following

Q: please answer letter b only,

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Q: By method of Integration by Partial Fractions, (x³ +5x²+6) dx (x²–2x+5)² Л < (A) True B) False A B…

A: Given data÷

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

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Q: QUESTION 14 Calculate the area of the smaller region (to the left of the parabola) bounded by (x+5)…

A: We need to find area.

Q: 4. Being careful to allow for parts of the curve being both above and below the x-axis, determine…

A: This question is related to definite integration, we will solve it using given information.

Q: Find y dy S using the substitution u +5=√√y+2. √y+2 A (√9+2-5) (5√3+2-1+24) +0 B (√y+2-5)…

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Q: Find the are bounded by the trigonometric curves y=sinx and y=cosx from x = pi/4 to x = 5pi/4

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

A: We have to calculate the area of the smaller region bounded by x+52=2y from left sides,and bounded…

Q: Being careful to allow for parts of the curve being both above and below the x-axis, determine the…

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Q: Evaluate 1 m+3 1 m+ 1 I M+2 T }}}+1 tan" (x) sec¹x dx I -tan (m + 3) (x) + m+1 1 -tan (m + 1)(x) +…

A: SOLUTION-

Q: S cose de 1-sine sece tane de sece - 1 The integral fo fse Si x dx x²+√√√x²−1−1 sino de 1+ cose…

A: we have to above integration

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: 6. 7 [sin¹ 3xdx

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Q: Given that dx 5₁² = missing steps = I due √x+2 √u Re-write the integral will all the missing steps.…

A: Given:     ∫-2-1dxx+2 Apply u-substitution:  Substitute u=x+2→dudx=1            dx=du Lower limit…

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: y=(-4x²-5x²) (7x - 2)

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Q: 10. 3 J√cos z sin ³ zdz COS

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Q: y dy y+2 (√√y+2=5)(-5√√y+2+y+21) + C 3 B (√√y+2-5) (5√√y+2=y+24) + C 3 © ²² (√√y+2-5) (5√/y+2+y+24)…

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Q: Lemma*: If z(x, y) = W+H, then xZx + y2y = (xWx+yWy) + (xHx + yHy).

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Q: 15. cos³ 3x 3√√/sin 3x dx

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

A: Given :(x+5)2=2y, the x-axis, and the line tangent to the circle x2+y2=25 at (3,4).To find :The area…

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

A: We need to integrate the given function with integration by parts.   We will do it twice

Q: Define Q as the region bounded by the functions f(x) = x and g(x) = in the first quadrant between y…

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Q: 3x5 3x4+6x33x2 - 6x (x-1) 1/6(x+2) 16/3 + In x+1 (x-1) 1/6(x+2) 16/3- (x+1) 1/2 (x-1) 1/6(x+2) 16/3-…

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Q: S²- 16-x2 A 2 B) 8 0 None 4 E dx is equal to

A: I am attaching image so that you understand each and every step. Option "C" is correct answer.

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

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Q: 2. [e1/² cos 2tdt Set/2

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Q: Find if x-t³+1 and y=4t²-4t. d²y dx²

A: Solution of given question is written in below steps.

Q: What is the value of f(1) - 16B in [x³ Inx dx = f(x) ( (1/4) Inx - B) + C? A 3 B 2 C) 1 D) 0

A: To solve the given integral problem.

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

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Q: 8. fx(1+x)²/³ d dx 2/3

A: SOLUTION-

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

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

Q: Л 5x Find the area bounded by the trigonometric curves y=sinx and y=cosx from x=-tox= 4 4 A 1.414…

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Q: 50 50 " (ax³ + bx² + cx) dx = 2b [³²x -50 A) True B) False x²dx

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Q: If f(x) = =+10, then what is the value of f(a+h)-f(z) ? h - 1 (x+10—h)(x+10) 1 (x+10+h)(x+10). 1…

A: It is given that f(x)=1x+10. we need to find the value of f(x+h)-f(x)h.

Q: 3. Use the Intermediate Value Theorem to show that there is a solution of the equation, ³-4x = 1 in…

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Q: 4. Being careful to allow for parts of the curve being both above and below the x-axis, determine…

A: We need to find area.

Q: By method of Integration by Partial Fractions, A + C (1³+ 5x²+6) dx = √2-24 +5 + 8(2x=22)52]dx…

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Q: Find the value of k that will make the function f 2 if x<-4 . f(x)= -x+3k, if x2-4 Blank 1 Blank 1…

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Q: Determine the volume of the solid obtained by rotating the region bounded by y= x^2 and y=x about…

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