Given: cos 3' What is the value of cos(20)? O 9 9 9 is in QI. 4 9

Q: Suppose that a car has velocity 70 km/hr for 2 hours, velocity 60 km/hr for 1 hour, velocity 50…

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Q: = 9 to x = 15. Find the area of the region under the graph of f(x) = e-*/³ from * = O e (e-1) O e 5…

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Q: The brightness of some stars can fluctuate over time. Suppose that the brightness of a certain star…

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Q: Consider the function f(x)=√x+5 -1 for the domain [-5, ∞). - 1 Find f¹(x), where f¹ is the inverse…

A: Given query is to find the inverse function and it's domain.

Q: A ball is thrown upward from a height of 2.8 m at an initial speed of 40 m/sec. Acceleration…

A: Given,

Q: For the function f, given below, find the antiderivative F that satisfies F(1) = 1. f(x)=x²-3x 4+4…

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Q: Write the given (total) area as an integral or sum of integrals. The area above the x-axis and below…

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Q: Solve the given equation.. x²y³ dx + x(1+y²)dy=0 x² +2lnlyl-y-² = C x² + Inlyl-y2=C C. x+2lnlyl + y²…

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Q: Consider the following table, and assume that f(x) and g(x) are differentiable functions with values…

A: Given query is to find indicated derivative.

Q: the area under the curve y = x² from x = 1 to with 6 Approximate x = 4 using a Right Endpoint…

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Q: For y=f(x)=6x−1​, x=3​, and Δx=3 find   ​a) Δy for the given x and Δx ​values, ​b) dy=f ′(x)dx​, ​c)…

A: We need to solve differentiation problem.

Q: Let f(x) = x3 and compute the Riemann sum of f over the interval [4,5], using the following number…

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Q: 2.2 Find the integral (and leave answer in simplified form) a) √x(x ² + 1)² dx

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: Evaluate the integral. 16 S 4 (√x) dx 11 cosh (√x) √x

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Q: Find the interest rate r needed for an investment of $5,000 to grow to $8,000 in 3 years if interest…

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Q: Consider the function f(x) = -x² +50x100. Find that maximizes the function.

A: dxndx=nxn-1for critical points  put f'(x)=0if f''(x)<0, then  maximum

Q: (2) ) (A) Suppose Ris the region in the second quadrant bounded by the circle x² + y² = 9, the lines…

A: Given that:- Region R bounded by x2 +y2=9 ,y=-x and x=0 in second quadrant

Q: An object was left in a room of unknown surrounding temperature. The temperature of the object was…

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Q: Find the area of the region bounded by the graphs of the given equations.   y=4−x2​, y=4-3x

A: Given curves:- y=4-x2,y=4-3x

Q: 121 121 suppose that Σα; = -13 and Σ b; = 23. Compute the sum. i=1 i=1 121 Σ ( – 28α; - 2b;) i=1

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Q: -T Which of the following represent the terminal side of a 6 A B angle in standard position? D с

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Q: 14/12/2022, 12:00 6. Use l'Hôpital's rule to find the limit. Use o or co when appropriate. OA. lim…

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Q: For the following function f, find the antiderivative F that satisfies the given condition. 1 F(v) =…

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Q: Evaluate the integral 169 S 13 dx x(In x) 10

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Q: Find the area of the region between y=-x² + 4x and y = 4 from=0 to x = 2 Simplify your answer. Type…

A: NOTE: Refresh your page if you can't see any equations. . given functions are limit of x is  so…

Q: Use l'Hôpital's rule to find the following limit. 1 In (x-7) lim X→8* lim +8²-X (2-3-1 x-8 G 1 X-8 1…

A: As we know that: The Power law: ddxxn=nxn-1 The product rule: f·g'=f'·g+f·g' The Quotient rule:…

Q: 8. Find the absolute maximum and minimum values of the function over the indicated interval, and…

A: The absolute maximum value of a function is the greatest possible value of the function in the…

Q: Find the slope of the graph of y = 6³ +1 at x = 2.

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Q: If f(x) = = f'(x) = 6x² 5+x² " find:

A: NOTE: Refresh your page if you can't see any equations. . the given function is take derivative

Q: Use the power series 1 1 + x Σ(-1)"x", |x| < 1 n = 0 to find a power series for the function,…

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Q: If the graph of the equation y = cos(x) is to be modified to triple the amplitude and to double t…

A: Given query is to find the equation of the new graph.

Q: Evaluate the definite integral, So x(1-x)182 dx

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Q: Find the average value over the given interval.   f(x)=x2+x−11​; ​[0,22​]

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Q: Give an E-S proof for lim 2x²+1=3 x+1

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Q: Use cylindrical shells to find the volume of the solid obtained by rotating the region bounded by…

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Q: Evaluate ftan a x sec4 xdx. +C

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Q: 10 S™ f(x) dx 3 If f(x) dx = 3 then 3 10 4f(x

A: given statement is : -    ∫310f(x)dx =3    then     ∫3104f(x)dx=9then we have to check it is true or…

Q: For what does the function f(x) = x² +50-100, 0≤x≤25, have its minimum value?

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Q: Evaluate lim h→0 Answer: f(4+h)-f(4) h where f(x) = 7x + 1.

A: Topic:- application of calculus

Q: If f(t) = (t² + 6t + 7) (7t² + 4), find ƒ'(t). Find f'(2).

A: INTRODUCTION A function's differentiation can be used to display the rate of change of a function at…

Q: Approximate the sum of the series by using the first six terms. (See Example 4. Round your answer to…

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Q: A fungal colony grows on a flat surface starting with a single spore. The shape of the colony edge…

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Q: Evaluate the integral 100 S 10 dx x(In x)4 11 100 S 10 dx x( In x)4

A: I=∫10100dxx(lnx)4   Let u=lnx Then, dudx=1x Rearranging this: du=dxx Now, changing the limits: Upper…

Q: 3. ( for ) Find the power series representation f(x) = Σen(x - a)" n=0 f(x) = = 1 about x=a=0. Also…

A: We have to find the power series representation fx=x1+x5 about x=0.

Q: that is paral Find the equation of the normal line to curve y = sin3x at x = 7 Find the value of a…

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Q: Determine all the number(s) c which satisfy the conclusion of the Mean Value Theorem for the given…

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Q: Consider the indefinite integral x² (x³ + 5)³ This can be transformed into a basic integral by…

A: dxndx=nxn-1I=∫x2(x3+5)3dx

Q: 1. Given F'(x) = 6, compute F(2) - F(-1). Use the formula 4 F'(x) dx = F(b) - F(a).

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

Q: Find the area of the region between the line y = 2x and the curve y = x² + x - 2

A: We will find point of intersection  y =2x and y = x2+x-2.

Q: Consider the function Fx(x) = 0 x 2.

A: The given probability distribution is: 0x&lt;0x20≤x&lt;1k+1-kx-121≤x&lt;21x≥2 It is known that FXx…