If f(x) and g(x) are integrable on the closed interval [a, b], and k is a constant, which of the following is FALSE?

Q: +3x-4)³ Solve the integral: Seln(2x²+3 (4x+3)dx eln(2x²+3x- 3x-4)³ A (2x²+3x-4) (2x²+3x+4)4 B + C 4…

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Q: Use Lagrange multipliers to find a relative minimum function value of fif f(x,y,z)= x² + y²+ z² with…

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Q: Question 3 If f(x) = f A sec ³x 1+elanx B 1+tan²x 1+etanx In (secx) √ 1+tan²x C tanx 1 + e sec²x D…

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Q: Which of these expressions represents the area bounded by y = 1/2 x^2 and y = 3x? * 6x + x²dx 6x…

A: To solve the following problem

Q: tanx If f(x) = (Α) B C D S 0 sec ³x 1+etanx In (secx) √ 1+tan²x tanx 1+e sec²x 1+ etanx 1+1² -dt,…

A: Here, given that: f(x)=∫0tan x1+t21+etdt...(1)

Q: Evaluate the definite integral by substitution: 21 1 dx 3/(1+3r)² (1) ² 3/1 + 13xdx 10 (3) [TV. (3)…

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Q: tanx f f(x) = = [tion. A B C √1+1² 1+e' In (secx)√1+tan²x tanx 1+e sec²x 1+ e tanx sec ³x tanx 1+e…

A: Integration

Q: Find the slope of the line if it is defined Through (-6,-7) and (-1,12) Select the correct choice…

A: Given query is to find the slope of the line.

Q: Let one week's supply and demand functions for gasoline be given by p= D(q)-294-39 and p = S(a)= a,…

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Q: ral: Seln(2x²+3x-4)³ (4x+3)dx

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Q: If a horizontal element is used to find the area bounded by y=√x, x=4 and the x-axis, the limits of…

A: Given problem:- If a horizontal element is used to find the area bounded by y=√x, x=4 and the…

Q: - EXAMPLE 3 Find the particular solution of 3xy' y = lnx + 1, satisfying y(1) = -2. x > 0,

A: It is a first order differential equation.

Q: tanx -√ S sec²x 1+ et tanx In (secx) √✓ 1+tan²x 1+ elanx sec ³x 1+etanx If f(x) = A B (с 1+1² 1+e'…

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Q: Evaluate the double integral: A 9 2 5 2 (В с D m|w 416 5² 5²² 2ydydx

A: A detailed solution is given below.

Q: 1 m ( x² + 3102=²7) dx x²+3x-7 X-2 Evaluate the integral: Se A +2²2 + — + In|3x-6√ + C Ⓡ X/²2 ₁ B…

A: A detailed solution is given below.

Q: Question Find the volume of the solid whose base is a circle with radius 25 that has cross-sections…

A: Solution:

Q: dx Transforming - using miscellaneous substitution will yield to secx + 1 A -dz 1+z² B 1² 2-2z² 1+z²…

A: Given problem:-

Q: Consider the solid formed by the boundaries outside the elliptic paraboloid x² + y² = z and inside…

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Q: Solve for r in terms of P, n, and t: P = (1 + =) ² Or=(nP-1) Or=In(P)-1 Or = n(P-1) Or="(P-1) T=…

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Q: Find the slope, if it exists. x = -6 Select the correct choice below and fill in any answer boxes…

A: Given x=-6 The graph is

Q: Consider the functions z= -5 e* Iny, x= In (u cos v), and y= u sin v. əz əz (a) Express and as…

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Q: Find the area bounded by : f (x)=e*, g(x) = e¯* and x = 3. A (e²+ 1)² e² sq. units (e³+ 1)² B e3 (C)…

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Q: B-Find the center of mass of the region bounded above by the half circle y = √ Na²-x² and below by…

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Q: Fiind a33 of an arithmetic sequence if the common difference is -1 and a1=3

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Q: x) and g(x) are integrable on the closed interval [a, b], and k is a constant, which of the…

A: We have to find out the option

Q: y = 5 tan x³ + sec(3x)

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Q: Let g be a differentiable function, and let the range of g be an interval I. Suppose that f is a…

A: Given that g(x) is a differentiable function and range of g(x) is interval I. f(x) is a function…

Q: Find the value of x If f'(3) = 52? X 1 2 4 f(x) -2 8 x

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Q: That statement "We can use the General Power Formula of Integration for indefinite integrals…

A: Option C is correct option

Q: Why does dA/dt = 0?

A: Since area is constant therefore dA/dt=0

Q: (в B f(x)g(x) dx = [ f(x) dx g(x) dx]

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Q: Solve for x using Newton-Raphson Method: ex-x=0. Use xo= 0 as initial guess.

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Q: 10. Given the curve C defined by the vector-valued function r(t) = a) find an equation of the line…

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Q: dx 15 √(x+2)(x-1)²² -S[ +42 + (A) 93 B (C) (D) 12 93 —— . 2 3 2 3 B x-1 + (x −1)² ]dts dx, the…

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Q: Where is f(a) not continuous? JAROMEN M 0 :-2 SE 4 O 0 02 O nowhere O-2 and 2 O-2 0 2

A: here in graph we see that function is not contineous at 2 and -2 value there is not contineous graph…

Q: How many antiderivatives does a function of the form f(x)=x" have when n*0₂ (A) 1 (B) none may vary…

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Q: Find the gradient of f(x,y,z) = (x² + y² + z²) Vfl(-12,-2)=i+j+k (Type integers or simplified…

A: Given

Q: Fin the AREA enclosed by the given curve: r=acos(3θ)

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Q: X+2 Determine the case of the following proper rational function after simplification: (x2-4)(x3-8)…

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Q: y = 3t 1+t³ X= 3t 31² 1+t²³

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Q: (b) En=1 m

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Q: Find the derivative of the function at Po in the direction of u. x-y g(x,y)= xy+2 Po(1,-1), u=12i+5j…

A: Given :g(x,y)=x-yxy+2u=12i+5j

Q: 1-x √x dx

A: We have to solve the integral

Q: Stretching spring: Eighteen pounds of force is required to stretch a spring 3 ft. from its natural…

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Q: In S₁² = 10 A (1,00) B (-∞0,00) c) (-∞,1] D {0,1} Given -dx, determine all value/values of P for…

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Q: Q1/ From the following table of values, find the approximate value of f '(1.5)? X 1.0 1.5 2.0 3.0…

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Q: Find the domain of the following function. 9 f(x)=- 2 36-x The domain is (Type your answer in…

A: Use the definition of domain of function

Q: Determine the area bounded by f(x)=x²-x and x-axis. 2 A unit² ® —— unit ² 1 -unit² Ⓒ 1 -unit²

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Q: Question 11 puas √1+1² Ffxx)=f -dt, then f'(x) equals 0 I+e' In(secx)√1+tan²x Itela tanx sec³x 1+ele…

A: Topic:- application of integration  Note :- as per our guideline if more than one question uploaded…

Q: Please write out/show work, thank you! Find the slope of the line tangent to 2xy + π sin y = 2π…

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