If there are more than one hole, seperate them with commas; if there are none, type DNE. Check Answer

Q: SET-UP the integral representation for the volume of the solid that results when the region bounded…

A: We need to set up integral.

Q: Find the exact value of sin sin (*) 4) = (4) 团团团 EESTIMENT

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Q: Find and simplify dy da 3x²-4 522+7 y = ( 3 5

A: On solving this we will get

Q: If y = u³ - 4 and u = 3x² + 10, find y' O 18x(3x² +10)² O 3x(6x² + 10)² O18(3x² +10)² 6x(3x² +10)² घ

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Q: Estimate the limit numerically if it exists. (If an answer does not exist, enter DNE.) lim X-3 3-X…

A: Givenlimx→ 3-3-x3-x

Q: Evaluate: 2 2 dxdy (x + y)² 5² 5²

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Q: Let y = = Ay ~ 2x² + 4x + 3. If Ax = 0.3 at x = 5, use linear approximation to estimate Ay

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Q: Sketch the region enclosed by the curves y = 2x and y = 4x². List the points of intersection of…

A: To sketch the region enclosed by the curves y=2x and y=4x2.To list the points of intersection of…

Q: A rectangular metal tank with an open top is to hold 4 cubic feet of liquid. What are the dimensions…

A:

Q: Guess the value of the following limit (if it exists) by evaluating the function at the given…

A: We have to evaluate the limit.

Q: Find the interval(s) of numbers that are at least a distance of 9 away from -3. Enter solution as an…

A: Let the numbers are x

Q: Use the Squeeze Theorem to evaluate the limit. (Give your answer as a whole number.) 1 lim (x² − 16)…

A: Please see the below picture for detailed solution.

Q: Use Δy≈f ′(x)Δx to find a decimal approximation of the radical expression.   \sqrt{38}

A: The  solution of the problem is given in the next step.

Q: What do you notice about the two calculations below? What is the same about them? an you explain why…

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Q: Find dy/dx if y=- O dy dx Ody dx O dy dx O dy dx = = = 1-t 1+t = sec 2t (1+t) ² (1+1) 2 sin2t cos2t…

A: To find dydx if y=1-t1+t and  x=cos2t.

Q: Assuming the original 10 organisms grew exponentially, doubling in size with every unit of time,…

A: Given that original 10 organisms grew exponentially, doubling in size with every unit of time,…

Q: Use integration by parts to evaluate the integral. [5. 5x ln(2x) dx

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Q: Certain radioactive material decays in such a way that the mass remaining after t years is given by…

A: Solve the given

Q: Find the gradient of the function at the given point. Function Point (3, 3) f(x, y) Vf(3, 3) = = x +…

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Q: Find the length of the polar curve r = cos sin where 0 ≤ 0≤ π/4 3.11 2.11 2.22 1.11 None of these -

A: Concept: The length of the polar curve r is given by the formula  L=∫abr2+drdθ2dθ Where r is the…

Q: xy + 4 = x+y

A: To differentiate implicitly with respect to x.

Q: 2. Let w = eur, r = √ x2 + y2, u = tan- -1 y ди Find дw др and да at p = 1. and q = 0. = 2, x = ePa,…

A: Given :- w=eur,r=x2+y2,u=tan-1yx,x=epq,y=cospq2

Q: A curve is generated by the equation x² + 4y² = 16. Determine 2. whose corresponding tangent lines…

A: Given data:- The given equation of curve is, x2+4y2=16 Curve corresponding tangent line are…

Q: A 5-foot ladder is leaning against a wall. If we push the ladder toward the wall at a rate of 1…

A: Given query is to find rate of change of top of the ladder.

Q: Consider the following. u = (-1, 7,-4), v = (-6, -5,9) (a) Find the projection of u onto v. (b) Find…

A: Please see the below picture for detailed solution.

Q: The differentiable function f is shown below on the domain (-9, 9). Determine which statement is…

A: Please see the below picture for detailed solution.

Q: The volume V of an ideal gas varies directly with the temperature T and inversely with the pressure…

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Q: - Find the general solution of y"" — 2y" — y' + 2y = 0

A: y'''-2y''-y'+2y=0

Q: Two airplanes are flying in the air at the same height. Airplane A is flying east at 400 mi/h and…

A:

Q: 1a. Let f(x, y) = 3ln(xy²) - 4x. Find the value of f* (-2, 1) and (-2, 1). 1b. Find the value of f"…

A: As per the rules we can answer only the first question and rest others can be chain rule.

Q: The area of a square is decreasing at a rate of 174 square meters per second. At the time when the…

A: We have to find the rate of change of perimeter.

Q: Graph the functions including the labels of 2 key points and any asymptotes ON the graph. 1. y = 2…

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Q: Suppose that y varies inversely with x, and y=6 when x=3. Write an inverse variation equation that…

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Q: Graph each system of inequalities. Circle the ordered pairs - there is no solution circle no…

A: Note:- These are multiple questions according to company rule we can do maximum 1 so i am solving…

Q: Use Descartes' Rule of Signs to determine the possible numbers of positive and negative real zeros.…

A: To find number of positive real roots of a polynomial f(x) we find changes of sign of coefficients…

Q: Determine if the following matrix is in reduced form. If not, indicate the row operation(s)…

A: In reduced form of matrix, every row should have 1 as it's first non zero element.

Q: Suppose z = x² sin y, x = 3s² + 3t², y = −4st. dz дz A. Use the chain rule to find and as functions…

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Q: Find using properties of logarithms: y = ln (= cos(z)) 36x-1 dy d

A: We can find the derivative using the properties of logarithms in in the below steps.

Q: Solve the following for x i. 2³x-1 = ii. 16 4*2*12= 0

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Q: In 2010, the population of a country was 53 million and growing at a rate of 1.7% per year. Assuming…

A: Given query is to find the population function with time.

Q: 7. Determine the following general antiderivatives. [3x (x²-5)³ dx a. C. [4x²+tan n (ex²+7) dx 10 b.…

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Q: An unevenly heated metal plate has temperature T(x, y) in degrees Celsius at a point (x, y). If T(2,…

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Q: Graph the solution to the following inequality on the number line. x2>4x

A: We need to graph the solution of the inequality on number line.

Q: #9) Find an equation of the tangent line to the graph of the function at the given point. y = 3(cosh…

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Q: Find an equation of the plane with the given characteristics. The plane passes through the points…

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Q: Suppose that the temperature of a metal plate is given by T(x, y) = x²+2x+y², for points (x, y) on…

A: Given: The temperature of a metal plate is given by T(x,y)=x2+2x+y2 for points (x,y) on the…

Q: Differentaiate the function. h(x)=ln(x+√x2-12)

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Q: Find the distance between the point and the line given by the set of parametric equations. (Round…

A: Given line x=2t,y=t-3,z=2t+2That isx-02=y-(-3)1=z-22=tTherefore Line passing through point…

Q: The differentiable function f is shown below on the domain (-9, 9). Determine which statement is…

A: Option second is correct f'(-3)<f'(7)<f'(2)

Q: there is more to this question than what was answered

A: The given functions are; f(x)=|x| and g(x)=9x+10.