The velocity function (in meters per second) for a particle moving along a line is given by v(t) = -4(t – 2t - 8), 1

Q: the shell Method to find the volume of the solid generated by revolving the area bounded by the…

A: Topic = Volume

Q: Evaluate the following limit: 4x2 – 4y? tan(4x4 + 4y4) 8x4 + 8y* - lim (2,y)→(0,0) 1 2 4 The limit…

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Q: You are at an icecream shop which carries 25 flavors of icecream. In how many ways can 5 scoops be…

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Q: Solve the stated IVP using the method of undetermined coefficients.   y” + 4y = 2 sin 2t, y(0) =…

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Q: Write the following expression in the form ax" + bx", where a and b are real numbers and p and q are…

A: We have to find value of given expression in the form of axp+bxq

Q: 5 dz Evaluate the integral: J1" (2+3z)³ (2+3x)³ O 22 O None of these 30 15 Clear my choice

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

Q: For all integers x and y, if 6x+y is odd, then x and y are both odd. True False

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Q: Find all the local maximum and minimum and saddle points, with their values, for the function f(x,…

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Q: dy 6-x.-3y= x' dx

A: we are given an ode -x*dy/dx -3y=x2 we have to solve this ode as we can see, this is a linear first…

Q: )

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Q: Given the cost function for a product: C(q) = -0.00932q + 0.196q? + 1.43q + 36, at what level of…

A: Find your answer below

Q: The demand function for a particular pair of sunglasses is p = 135 – 0.095q. (a) If the sunglasses…

A: The given demand function for a particular pair of sunglasses is: p=135-0.095q...(1) where q is the…

Q: Consider the function Z = 2x²(1 – e-y) where x and y are given to be 1 and In 1 respectively. Find…

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Q: f a company's cost function for a product is C(q) = 2290 + 3.8q + 0.004q2 %3D and the revenue…

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Q: Determine whether (1+2)"}. u d Converges or diverges. n=0

A: Use the nth term test for the series divergence.

Q: List the domain and the x- and y-intercepts of the following function. Graph the function. Be sure…

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Q: Find the area of the region under the graph of f(x) = 2x² – 4x + 2 on [-2, 3].

A: Given query is to find the area under the curve.

Q: Find the derivative of the following using General Rule. 7) y = vt3 8) f(x) = 6 + 5 1 9) y =-+ 2 x3…

A: We have to find derivative of Given function.

Q: An investment of $13,000 is growing at 5% compounded quarterly. a. Calculate the maturity value of…

A: a) Here, P=Principalt value=13000 r=rate of interest=5%=0.05 n=number of times interest applied=4…

Q: dA when r = 2. dt dr Let A be the area of a circle with radius r. If = 2, find dt

A: Area of the circle with radius r is given by;A=πr2differentiating w.r.t time,dAdt=2πr drdtWhen r=2…

Q: Find the point on the surface f(x,y)=x2+y2+xy-26x+29y at which the tangent plane is horizontal.

A: For Given surface f(x,y) The slope of horizontal tangent plane is equal to zero.

Q: f(x) = 2x² – 4x + 2 on [–2,3).

A: answer is in next step

Q: x arctan xdx

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Q: PROBLEM [ B6 (a) ] : Obtain the differential equation whose general solution is y = a sin 7x – b cos…

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Q: Use Theorem 13.9 to find the directional derivative of the function at P in the direction of  PQ.…

A: Given problem:- Find the directional derivative of the function at P in the direction of PQ. f(x, y)…

Q: nt) A spherical balloon is inflated so that its volume is increasing at the rate of 3.3 ft/min. How…

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Q: Content: Derivatives of Exponential and Logarithmic Function Summative Number: 3Q3 Part 1.…

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Q: Find the maxima and/or minima of f (x, y,z) = 2x2 + y2 + 3z2 subject to the constraint 2x - 3y - 4z…

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Q: an open box is to be made from a 2 foot by 3 foot rectangular piece of metal by cutting equal…

A: V(x)=length*width*heightV(x)=(2-2x)(3-2x)(x)V(x)=4x3-10x2+6x

Q: The radical function f(x) is represented by the equation f(x) = x-1+4· The graph shown is the graph…

A: Given function fx=x-1+4 We know x-1 is defined for x-1≥0    ⇒   x≥1Therefore fx=x-1+4  is defined…

Q: How many different words (real or imaginary) can be formed using all of the letters in the word:…

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Q: 2. A spherical snowball melts at a rate of 367T in /sec. At what rate is the radius of the snowball…

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Q: Write a logarithmic equation corresponding to the graph shown. Use f(x) = logs(x) as the parent…

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Q: A ball is launched straight up in the air from a height of 7 feet. Its velocity (feet/second) t…

A: It is given that A ball is launched straight up in the air from a height of 7 feet.  It velocity t…

Q: 7. Suppose f is a continuous function on [a, b] and Sf(x)g(x) dx =0 for every continuous function g.…

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Q: finde general Sonotion 1- y' = See'y 2X-1 %3D 2- 3-Xy=Y+2x $ in?

A: This question can be solved by applying the concept of differential equation.

Q: val [1,5].

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Q: 3. S sin®2y · /cos2y d|

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Q: Find a particular solution y, of the following equation using the Method of Undetermined…

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Q: dxdy y Vy2-x2

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Q: A juice company has found that the marginal cost of producing x pints of fresh-squeezed orange juice…

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Q: 2. When buying a new car, one consideration is how fast the car loses value, known as the…

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Q: Find the angle e between the vectors in radians and in degrees. u = cos()i + sin()i, v = cos( 31 )i…

A: Given,  u=cosπ3i+sinπ3j v=cos3π4i+sin3π4j Now, we know that  cosπ3=12 and sinπ3=32cos3π4=-12 and…

Q: )Let f(x) be function. What will be the asymptote, if lim f(x) = ±o? %3D O Vertical line O…

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Q: If F(r) = 5 sint dt, then F'(r) =

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Q: A metal storage tank with fixed volume V0 = 360π m^3 is to be constructed in the shape of a right…

A: To find: The dimensions will require the least amount of metal. Given information: A metal storage…

Q: For the function below, determine each of the following. g(x) =. + 6 (a) Find the critical values of…

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Q: Find the directional derivative of f(x,y,z)=xeY+ye² at (0,0,0) in the direction of the vector…

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Q: An equation and, its graph are giiven. Find an inequelity whose sotution ia the shaded region.

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Q: 22 xtan"x secx

A: