4. Determine the maximum point of the the graph of y = 1 — 2 sin(π – 2x), for x = € [−π, π). 3.

Q: Find y′′ y = -3x4(4x+6)2

A: Recall: Power rule; dxndx=nxn-1 Given, y = -3x4(4x+6)2

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Q: What are the coordinates of the y-intercept of the equation 5x - 3y = 2? (0, 2/5) (0, 5/3) (0,3/5)…

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Q: Compute the definite integral as the limit of Riemann sums. (4x - 1) dx 47) 1

A: We will be answering the first question as per the guidelines.

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Q: If the odds in favor of E occurring are 2: 7, then find P(E) and P(E'). P(E)= (Type an integer or a…

A: If the odds in favor of E occurring are 2:7, then to find PE and PE'.

Q: Find the equation of the tangent plane to z = ln(x³ + 1) + y³ at the point (0,6,216).

A:

Q: What is the explicit equation for the nth term of the arithmetic sequence 6, 3.5, 1,-1.5, 4,...?…

A: We have: a1=6 -- the first term   Next, we calculate the common difference d=a2-a1 So, we have:…

Q: Problem 4. A point P is often identified in mathematics using the notation P(x, y) to reference a…

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Q: section to answer the questions below. -4x-8y-36=0 What type of conic section is the equation?…

A: We will make the perfect square of the given equation.

Q: Use the Ratio Test to determine if the series converges. M8 k=1 %*x Select the correct choice below…

A: Ratio Test : Consider the given series ∑k=1∞ ak .and L = limk→∞ ak+1ak , then(i)If  L<1, then…

Q: Which scenario best fits the linear equation? y=-2x + 5 Sammy's restaurant started selling…

A: Given equation,                         y=-2x + 5

Q: What type of graph is this? A parabola An absolute value graph A hyperbola A linear graph

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Q: Use the Divergence Theorem to evaluate F. ÑdS where F(x, y, z)=x²i +2y²j+z²k S and the surface S is…

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Q: What is the inverse of the function f(x) = 3(x + 2)²-5, such that x < -2? OF-¹(x)=-2+. 3 5…

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Q: Find two positive numbers satisfying the given requirements. The product is 182 and the sum is a…

A: Topic- Quadratic equations

Q: What are the coordinates of the x-intercept of the equation 2x - 3y = 8? (-4,0) (-8/3,0) (0,-8/3)…

A: Please see the below picture for detailed solution.

Q: the following sequence or determin hat the sequence diverges. 5n 36n² + 1 elect the correct choice…

A: We have sequence  5n36n2+1Let an=5n36n2+1

Q: Question 14 Each side of a square is increasing at a rate 3 in/s. At what rate is the area of the…

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Q: etermine the appropriate rotation formulas to use so that the new equation does not contain any…

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Q: If f(x) = 1 - log5 x, then f-¹(x) =

A: Given that f(x)=1-log5 x , then our aim is to find the value of f-1 (x)=?

Q: * Express the sum using summation notation 6² 6² 6th Complete the sum of the sequence. 0 Σ 4 k=1

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Q: Express the given quantity in terms of −sin x or cos x. sin(3ℼ/2 - x)

A: The given trigonometric function is f(x)=sin3π2-x

Q: estimate the area under the graph f(x)=2x2+1   from x=0 to x=2 use four rectangle and the right…

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Q: D Question 24 Suppose that P= f(t) is the population (in millions) of the country & years after the…

A: We can find the answer as below.

Q: Find the derivative of y = 3x² + 5x- 2 from first principles.

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Q: The graph shows the rational function f (x) and the logarithmic function g(x). f(x)…

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Q: Which of the following shows the expansion of 2-5n? n-0 O(-18) + (-13) + (−8) + (−3) + 0 O(-3) +…

A: To find the expansion of the given expression, substitute n=0,1,2,3,4 in the given expression.

Q: Use an appropriate test to determine whether the following series converges. 8!!! Σ 9 3 k=1 ³√k…

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Q: A particle is moving with acceleration a(t) = 30t + 10. its position at time t = 0 is s(0) = 7 and…

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Q: Evaluate the double integral x cos y dA, where D is bounded by y = 0, y = x², and x = 5.

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Q: Consider the following function and point. x + 5 X-5 (6, 11) (a) Find the derivative of the…

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Q: Evaluate the integral. 3π/4 45) ³7/4 4 sec 0 tan 0 de -π/4

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Q: The area of a rectangle is given by the function A(x) = 3x³ + 6x² + 4x + 8. If the length is defined…

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Q: Evaluate the following limit: lim+1 x+1 01 2 02 Oc undefined

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Q: Use the Ratio Test to determine if the series converges. 8 Σke-8k k=1 ... Select the correct choice…

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Q: a) Determine the continuity of f(z) at z=2i where z² +4 f(z)={z-2i z - 2i, if z # 2i, if z = 2i.

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Q: = f(x) = ='(x) = L'ea 1 t²dt then

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Q: Write an equation for the ellipse Q

A: solution is given below

Q: Given f''(x) = - 16 sin(4x) and f'(0) Find f ¹ƒ(3/3) = = 6 and f(0) = - 5.

A: SOLUTION-

Q: A population of 450 bacteria is introduced into a culture and grows in number according to the…

A: Given, p(t)=4505+4t73+t2

Q: Find the area of the shaded region. 44) 2) (II/4, 2) TE: II II 2 311 4 y = 2 y = csc²x X

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Q: Consider the following function. f(x)=√x-4, What is the domain of f? (Enter your answer using…

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Q: Let f(x) = (x−³+4)5 – 1.

A: Assume that y=f(x) and use the description of f(x) and then express x in terms of y, that formula in…

Q: 5. The motion of the shock absorber is modelled by the function, h(t) = e-0.5t sint. a) Identify the…

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Q: Find the derivative of the function. y = sin (7) + √sin (6 x) y'(x) =

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Q: Use the Divergence Test to determine whether the following series diverges or state that the test is…

A: Divergence Test for Series : Consider the series ∑n=1∞ an .If limn→∞ an is non zero or does not…

Q: a=, b= a) a-2b b) a + b c) à b d) The angle between a and b =) Find all vectors which are twice as…

A: We need to solve vector problem..