Evaluate the ff. 1.  ∫(3x+4)^2 dx 2.  ∫ sinx + sin(π/2-x)/cos x dx 3. ∫(1-r) √r dr

Q: C. Find the average rate of change (ARC) of f(x) on the interval 4 < x < 4 + h. Note: your answer wi...

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Q: 3. The function f is defined for all real n umbers except for x = -3. What is a reasonable estimate ...

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Q: ) Determine the volume of solid obtained by rotating the region bounded by y = x^2 – 2x and y = x ab...

A: 21) Determine the volume of solid obtained by rotating the region bounded by y = x^2 – 2x and y = x ...

Q: 2. Given: f(x)= x' +4x? – 2x+9 g(x) — х? +2 %3D h(n+2)= 2h(n+1)– 3[[h(n)]° h(1) =1 and h(3)= 5 f(-5)...

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Q: ces to aCcess in When the following molecular equation is balanced using the smallest possible integ...

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Q: - Use the definition of derivative to find the tangent and normal equations of f(x) = (x - 3)2 %3D X...

A: We can find the tangent equation and normal equation as below.

Q: 5. Ydx - xdy + x(2 – y)dy = y? e dy

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Q: (5) (2х — у) — 2у — х dy dx

A: As per the guidelines, we are supposed to solve only one questions as multiples questions have been ...

Q: By?dx +[2yłn () + 3siny dy 0 ;when x = 1, y = 0 ²+3x x+3

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Q: Find the cross product u x v and verify it is orthogonal to both u and v. a) u = 4i + 3j – 2k and v ...

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Q: 6. (2xy + y) dx + (x? - x) dy = 0.

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Q: What is the area bounded by the curve ?^2 = −9? and the line y+1=0?

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Q: What type of the conic section is this given equation: 4x2 5x +23 = 2 (10 – 2y²) %3D | O HYPERBOLA O...

A: please check the given equation. for given equation, none type of conic section exist.

Q: dx

A: Let  x-2 = t  Differentiating both sides dx= dt  

Q: Find 19. t sin 3t dt Jo

A: Topic:- integration  Note:- as per our guideline if more than one question uploaded than only first ...

Q: Find the moment of inertia of the region between the parabola y = 8 − x2 and the line y = 2 – 2x fro...

A: Our Aim is to find the moment of inertia of the region between the parabolay=8-x2 and the line y=2-2...

Q: y'(2y - x exY) = 2 +yexy

A: Given that:

Q: Determine each feature of the graph of the given function. За — 6 x² – 6x + 8 f (x) = Horizontal Asy...

A: Given: fx=3x-6x2-6x+8 (a). As we know that, To calculate the horizontal asymptotes, solve the limit ...

Q: Suppose that f(2) = 16 and that f (x) 2 - 3 for allx in the interval [2,7]. Determine the smallest p...

A: Follow the procedure given below. 

Q: Inverse Function: One-to-one   Running burns about 13 calories per minute. a) Determine the type ...

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Q: Given the differential equation ty" + 5 ty' - 12y = cot(t) Find the Characteristic Solution for the ...

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Q: An environmental study in a community shows that the level of a certain pollutant in the air is L(P)...

A: Given:  An environmental study in a community shows that the level of a certain pollutant in the air...

Q: 4. 3y(x? - 1)dx + (x³ + 8y - 3x) dy = 0

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Q: 6* – 2 - lim x→0 ekx +7 k = (If any value of k will work, enter any; if none will work, enter none.)...

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Q: For the given functions, find (f o g)(x) and (go f)(x) and the domain of each. 7 f(x) = 9(x) = 1-4x ...

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Q: 42) Find the surface area of the solid that results when the region in the first quadrant bounded by...

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Q: Find the maximum area of a rectangle in the first quadrant where one side of the rectangle lies alon...

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Q: function is in a form of y = ax^3 + bx^2 + cx + d. it has relative maximum (3,3) and point of inflec...

A: Given function f(x)=ax3+bx2+cx+d

Q: В. Find all vertical and horizontal asymptotes. 2x2 +2x+1 15. f (x) = 5x3+3x-5

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Q: Since f(x) is continuous between a and b, the function needs to cross the x-axis. O TRUE O FALSE O n...

A: Given fx is continuous between a and b

Q: Given the equation below. Give what is being asked. sin2tcos2tdt a In(1+3cos4t) + C %3D 1 + 3cos4t F...

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Q: The functions f and g are defined as f(x) = 5x – 2 and g(x) = – 7x. f a) Find the domain of f, g, f+...

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Q: S. Sxidx

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Q: (b) (c) yA

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Q: Find the area of the shaded region. y=2 y= 2sin(70x) -2. O 4+4 4 + 8

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Q: (7) (y sec 2x + sec x tan x)dx + (tan x + 2y)dy = 0 (8) () ds + () dt = 0 (9) (2x³ – 3x²y + y³) = 2x...

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Q: Using the fact that y1(x) e* is solution of the second order linear %3D homogeneous DE (7+ бх) у" — ...

A: First we find y2 (x) then find y(x) using initial conditions. 

Q: lim g (y) where, g(y) = Sy? +5 if y -2

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Q: D. Given the following polar equations, find the eccentricity and identify the type of conic; write ...

A: We know that the polar form of a conic with directrix x=±p and the focus at origin has form: r=ep1±e...

Q: The polynomial of degree 5, P(x), has leading coefficient 1, has roots of multiplic 2 at x = 2 and x...

A: roots : x=2,2,0,0, -5 Factors are given by:x-2,x-2,x-0.x-0,x+5hence P(x)=Product of factors P(x)=(x-...

Q: 1. Use the function f (x) = x² – 3 to answer the following questions" A. Find the average rate of ch...

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Q: sin2x C. Evaluate lim- using table of values. Let x takes on the values 1.5, 0.8, X-0 0.5, 0.2, 0.03...

A: Given:limx→0sin2xx

Q: <, y) = )-« lustrate with a sketch. y 4 3 3 2 2 2 1 -4 -3 -2 1 1 2 4 -4 -3 -2 4 -4 -3 -2 /1 -1 -2 -3...

A: Topic:- calculus

Q: 11. Write a polar equation of a conic with the focus at the origin given the following: Eccentricity...

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Q: (2x³ – 3x²y + y³)ª = 2x3 – 6x²y + 3xy? dx

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Q: 1 Using a table of values, estimate lim 7. z-3 I - 3 а. 1 b. -1 c. - 0 d. 0 x + 4 Using tables of va...

A: Topic:- calculus

Q: Find the integral of 12sin xcosxdx if the lower limit is 0 and the upper limit is 90°. OA 11.5 O B. ...

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Q: - Use the definition of derivative to find the tangent and normal equations of f(x) = (x- 3)2 X-1 %3...

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Q: 12. Suppose that r(t) = 5+502, where t is time in hours. How far does the bus travel in 1 hour exact...

A: GIVEN v(t)=5+50t2 where t is the time in hour

Q: ax+: xp:

A: In this question , we can solve given integral by using substitution method. ∫un du = un+1n+1+C