2. (sec 5x t C9C 5x) dx

Q: Use calculus to sketch the graph of the given function. (c) f(x) = 3 – (x +1)³ |

A: The given function,     fx=3-x+13

Q: Find all solutions to the equation: [cos(x) + 1][2cos(x)– /3]=0. Bx equals fraction numerator 3…

A: Here, the given equation is: [cos(x)+1][2cos(x)-3]=0⇒cos(x)+1=0 or 2cos(x)-3=0⇒cos(x)=-1 ot…

Q: Part 4: A derivative computation using the FTC and the chain rule d d (F(2*)) = dx dt |3| e dx 20

A: Topic:- application of integration and derivatives

Q: (-1)" Vn

A:

Q: dy 1. Find the general solution of е 3x+2у dx

A: To find the general solution of dydx=e3x+2y.

Q: x + 2 x + 1

A: ∫x2+2x+1dxSubstitute u=x+1→dudx=1→dxu=dxx2=(u-1)2 =∫(u-1)2+2udu=∫u+3u-2du

Q: 3. Find the area (in sq. units) bounded by the parabolas x²-2y = 0 and x2+2y-8=0.

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Q: r(t) = (cos t)i + ( sin t)j + ( sin 6t)k, t, == (Type an exact answer, using radicals as needed..)…

A:

Q: 17. If you knowf (0) = 625 and f(4) = 16 then: (a) Find a formula for f(x) assuming that it is…

A: In this question, we want to find a linear function f(x) which satisfy the given conditions.

Q: 1. Let z = 3+ 6i and w = a + bi where a, b e R. Without using a calculator, (a) determine , and…

A: Let's find ratio of given complex numbers.

Q: Evaluate the limit 25 — b lim b→25 5 – vb

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Q: sfcontucus on the dosed nterval (4, s O wes ONe at dfferentable en the open interval (-4, 5), fnd ).…

A: Topic:- calculus  Note:- as per our guideline if more than three subparts posted than only first…

Q: Show that when a hole of radius a is bored through the center of the sphere of radius b, the volume…

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Q: C. Find y" for the following functions a. y-3y-x = 0 b. x + 4y2 = 12 C xy COs y

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Q: What is the range of the tangent function y=tan(x)? A R B [- 1, 1 [0, + ) D (- 00, 1]U[1,+ ∞)

A: Tanx is the ratio of sinx and Cosx

Q: 10. Simplify as much as possible: log (

A:

Q: -2 Find f'(x). Given: f (x) = (2x3+3x2-5)2

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Q: Find the enclosed area by the curve with equation f (x) = x² – 4 and g (x) = 8 – 2x2 40 35 36 32

A: To find the enclosed area between given two curves.

Q: Where on the curve of 1 does the tangent have the greatest positive slope? y = 1+ x? O 1) 3 3 O 2) 3…

A:

Q: The area bounded by the line y = x, the x - axis, the ordinates x =1, x = 2 is 3/2 O 5/2 O 1/2 7/2

A:

Q: Convert to a polar 13. (0,-4)

A: Given, (x,y)=(0,-4)

Q: जे dydy. Sec

A: To evaluate and simplify the given integral.∫sec52y dy

Q: 2

A: Here we can see as t approaching to 12 , graph is approaching towards 150.

Q: 2x + 3 x² + 2x + 4

A: To integrate the rational function. ∫2x+3x2+2x+4 dx

Q: You are conducting a multinomial Chi-Square Goodness of Fit hypothesis test for the claim that the 4…

A:

Q: Suppose f(x) is a function that satisfies the following inequality for all x: 1+3 cos(x) < f(x) <…

A: Solution: The given inequality is

Q: Consider the following initial-value problem. 4 f'(x) f(9) = 31 %3D Integrate the function f'(x).…

A: We have to find the function.

Q: 10) (-1

A: lets we take example 9 and 10   9 (-2) -3/2 here in 3/2 so we have to also make 2 in whole term…

Q: Area under the curve y = 4 - x2  from x=-3 to x=3

A: Please see the answer bellow.

Q: Find the first derivative of y = arctan [ (3 sin x) / (4 + 5 cos x) ] and y = ( ex – e –x ) / (ex…

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Q: Part 1: A derivative computation using the chain rule Suppose F(x) is a differentiable function for…

A:

Q: The function s(t) describes the motion of a particle along a line. s(t) = -14t+ 21 %3D (a) Find the…

A:

Q: Solve 12 cos (t) + 2 cos(t) - 2 = 0 for all solutions 0 < t < 2n t = Give your answers accurate to 2…

A: See the answer below

Q: (D² +4)y = 4cos x

A:

Q: Using the method of undetermined coefficients, what is the modified form for a particular solution y…

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Q: A Norman window consists of a rectangle surmounted by a semicircle. If the perimeter of the Norman…

A:

Q: 9. State whether each of the following functions is convex, concave, or neither. (a) fo -e (b) f) -e…

A: Note- as per our guidelines we have to answer only first three parts if multiple parts are posted in…

Q: a3z a3z 5. For z = x?siny show that дудхду ay²əx

A: As per our norms we have to write one question at a time kindly repost remaining questions.

Q: Find the dy/dx: Given y = 3x +2x-1

A: solution:-y=f(x)=3x2+2x-1f(x+h)=3(x+h)2+2(x+h)-1             =3x2+2xh+h2+2(x+h)-1…

Q: Question

A:

Q: If f(x) 4 find f'(3).

A: Given query is to find the derivative of the expression.

Q: If f(x) = f (t³ + 212 + 4) dt

A: We have to find f"(x) for the given function.

Q: ( 19 ' Evaluating cot 3 will yield to A 3 B -V3 D

A: Here, cot19π3cot6π+π3

Q: The graph of y= sin(x) shifts T units to the left and units upward. Which of the following functions…

A:

Q: Evaluate the integral 1

A: We can solve this as follows:

Q: 7. Evaluate the following: (2x2y 2+2y)dy dx A. 3.0 B. 5.4 С. 2.3 D. 4.9

A: Given query is to find the value of the integral.

Q: Suppose f(-5) = 0 g(-5) = 0 f'(-5) = 4 g'(- 5) = 2 %3D %3D and all functions are continuous. f(x)…

A:

Q: 9. A boat floating in the sea rises and falls with the waves. A sailor on the boat will also rise…

A: Given, f(t)=12sin(pi×t/4) +8 where t is the time measured in seconds f(t) is the tailor's altitude…

Q: What is the definite integral representing the area of the given region below? A. A= (1,1) В. А-D…

A: Area of a region bounded by two curves y=f(x) and y=g(x) is given by, A=∫ab |f(x)-g(x)|dx where a,b…

Q: cos(0)tan(8) sec? (ө) — 1 is written in terms of sin(e) only and simplified, what is the resulting…

A: Topic:- trigonometry