The parabola y + 2y + 8x –7=0 has vertex at O (-1, –1) o (-1,1) о (1,-1) о (1,1)

Q: Find the slope of the curve at the indicated point. 3 25) y=8+ X -x=7 A) m = B) m =- 75 C) m = D) m ...

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Q: r(e) = (3t - 5, t? + 2) (a) Find r'(t). r'(t) = (b) Sketch the plane curve together with the positio...

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Q: ст A particle moves along a straight line and has acceleration given by s'"(t) = 5t. Its initial vel...

A: To find the position function s(t) , integrate the given differential equation two times and apply t...

Q: Find the derivative of f (x) 2x5 9x f'(x) =

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Q: It is known that the population of a certain country at time t is proportional to the people living ...

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Q: ft along a straight, level road decelerates at a constant rate of 2 A bus travelling at 66 - ft F 22...

A: Given that: Speed of bus, u=66 ft/secDeceleration, a=-22 ft/sec2

Q: a) The Mean Value Theorem for differentiation states that if f(x) is continuous on a closed interval...

A: Given that the Mean Value Theorem for differentiation states that if f(x) is continuous on a closed ...

Q: Use implicit differentiation to find dy/dx. 18) y cos = 4x + 4y - y sin A)- cos B) sin 4y 4y2 D)- si...

A: 18.we have y cos(1y) =4x+4y⇒dydx(cos(1y) )+ysin(1y)×1y2dydx =4+4dydx⇒dydx(cos(1y)+1ysin(1y)-4)=4⇒dyd...

Q: Which integral would represent the area shown? 6 4. 2. 0.5 一 15 2. 2.5 3. 6 2xdx L (2r + 2) dx A (2x...

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Q: Find the standard form of the equation of the ellipse with the given characteristics and center at t...

A: topic - equation of ellipse

Q: Let RR be the first quadrant region bounded on the left by the yy-axis and between the graphs of f(x...

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Q: What is the integral of f(x) within the interval [2, 4]? AY 6- O Area = 2.0 O Area = 2.5 O Area = 4....

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Q: -X olx *2+2x+.

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Q: Find all the values of x such that the given series would converge. * (– 1)"(x")(n + 2) (3)" n=1 The...

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Q: Consider the shaded region R enclosed by the curve y = 6x – x² and the line y =-x as shown in Figure...

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Q: x +3 -dx What is the antiderivative of 5% + 6r/2 + C 5 A 6x/2 + C B © A (oxs +1) + c 5 6 (D) 7 12 + ...

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Q: Find the volume of the solid obtained by rotating the region enclosed by the curves f(x)=x^2+8 and g...

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Q: %23 %24 In using the technique of integration by parts, you must carefully choose which exp followin...

A: The solution are next step

Q: Find the equation of the curve for which y" = x, and which passes through the point (1, 2) with (A 3...

A: Given y'' = x  and the curve passes through (1,2)  with a slope of 5/2. which means y(1) =2, y'(1) =...

Q: Find (f 1)(a) for f(7)=0, f'(1)=-1, and a=0. -л -1 1/л -1/n

A: topic - derivative of inverse function

Q: y′ =x+1/y4+1 when x = 0, y = 0, Find the general and particular soln.

A: Given: y'=x+1y4+1   Use the variable-separable method to solve the given differential equation. Now,...

Q: |x| for x 2 10. g(x) = %3D

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Q: 3x + 6 If f(x) find: 2x +2 f'(x) = f'(3) =

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Q: Find the average value on the interval 3, 6| of the function whose graph appears below. average valu...

A: Average value of a function f(x) over interval [a, b] is given by the following formula :-          ...

Q: -25 Evaluate the integral: dax x²Vx2 +25

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Q: Let f(z) = { - 4 + 9 if z 2 Find lim f(x), if it exists. 01 O DNE 00 02

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Q: Figure 1 below shows the region R bounded by the curves y 4x, y =-4x and the line y =2. Determine th...

A: Given that, There is a graph between two function y2 = 4x, y2 = -4x and y = 2. We have to Find the a...

Q: For the following equation, show solution for determining the coordinates of the point of intersecti...

A: The given problem can be evaluated as follows:

Q: Use the given functions to find each of the following and their respective domains. Do not try to si...

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Q: 1. Evaluate the limit of as x approaches 3. В. 3/5 x2-4x+3 A. 3/2 C. O D. 5/2 4x-x 2. Evaluate the l...

A: Note: According to our expert guidelines only first three subparts are to be answered.kindly repost ...

Q: dx so that the resulting integral is integrable? What should be the rewrite of 1- cos x sec²x + sec ...

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Q: Find the interval

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Q: 4. Find the exact arc length over the interval. a. x= from x = 2 to x = 3 16x2

A: Solution: 4 (a)   y= x6+816x2  from x=2 to x=3

Q: 6x Σ. Suppose that (7 + æ) n=0 Find the first few coefficients. Co = C1 = C2 C3 C4 Find the radius o...

A: Given that 6x7+x=∑n=0∞cnxnfind the first few coefficientsand Radius of convergence R

Q: find the equations of the tangent and normal to the curve expressed in parametric form at the point ...

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Q: f(x) = x2 + 4x – 5, x < -2 -

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Q: Which integral would represent the area shown? AY 8 4 X 0.5 1 15 2 2.5 6 2xdx o (2r + 1) dx 6 (2x + ...

A: topic - application of integration

Q: Evaluate the integral: V13 – 162"dz (A) Which trig substitution is correct for this integral? 1 Ox =...

A: We have to find

Q: Suppose F(G(x)) = x³ and G' (1) = 5. Find F'(G(1)).

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Q: v(t) = VE – Vt, then find the second derivative, v" (t) =

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Q: 5. | sin (Tx) cos (Tx) dx

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Q: 2.Determine the convergence of the following series n+3 а. Ln=1 2n-1, b. E=1) 2n+1

A: Given:

Q: Find the area enclosed by the x-axis and the curve y= 9 – x². (A) 36 square units B 18 square units ...

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Q: A spring has a rest length of 13 inches and the spring constant is K = 1.5. spring Haw much work is ...

A: Given query is to find the workdone to stretch the spring form 17 inch to 21 inch.

Q: Simplify f(x). х3 — 4x2 - 16х + 64 f(x) = X - 4 x² – 4 for x * 4 f(x) =

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Q: Learning Task 1: What inequality true. 1. 2x = 6 %3D 2. 2x + 2 = 8 3. =D3 6.

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Q: -4 3t° 3t+ i dt

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Q: Suppose that g is a function that is differentiable at x = 4 and that g(4) = -2 and g' (4) = 1. Find...

A: We are asked to find the value of h'(4)

Q: Find a possible formula for a polynomial of degree four with zeros at (and only at) r -2, 2, 5, and ...

A: topic - polynomials

Q: from o to 9 0.

A: The given curve is: y=x ;           0≤x≤9