The cartesian coordinates of the point P is: ← A 0 2 1 32 R P (1, 0, 3) AC (1, 2, 3) BC (1, 2, 0) Co

Q: dy + dx y (x² – 9) ln x y(2) = 1 = sin 2x

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Q: Use implicit differentiation to find an equation of the tangent line to the curve at the given…

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Q: Mrs. Smith switches back and forth between her normal self, Alice, and her intimidate alternate…

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Q: Letr = (e141-11, e9-9¹, (t + 1)−6). Compute the derivative. (Use symbolic notation and fractions…

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Q: I. Which of the following representations below is a function? Select all possible answers. Copy the…

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Q: Find the rate at which the volume of the pumpkin increases when the radius is 4.3 cm.

A: Explanation of the answer is as follows

Q: Assume that the radius r of a sphere is expanding at a rate of  30  cm/min. The volume of a sphere…

A: Given query is to find rate of change of area of the sphere.

Q: Let H(x)=F(G(x)) and J(x)=F(x)/G(x) Suppose F(3)=4, F′(3)=−7 G(3)=3, G′(3)=−4 G(8)=3, G′(8)=−5 then…

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Q: Find (without using a calculator) the absolute extreme values of the function on the given interval.…

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Q: Consider the function. Find f'(x). f'(x) = Find F"(x). f"(x) = f(x) = x³6x² +9 Find f"(-3) and…

A: We need to find out the first derivative, second derivative and concavity.

Q: Your teacher has given you the innitial value Solve it and problem write your as a symbolic function…

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Q: 2. Find the area of the shaded region. -1.0 -0.5 y 8 6 y=3e* 4 2 0.5 (1, 3e) y=3xet² 1.0 1.5 2.0 X

A: The bounded region is given in the graph, we have to find its area.

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

A: Distance (d)=213 unit

Q: Given f(x, y, z) = √√√− 6x + y − 2z,

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Q: Find the most general antiderivative of the function. (Check your answer by differentiation. Use C…

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Q: Use spherical coordinates. Evaluate III. xyz dv, where E lies between the spheres p = 4 and p = 6…

A: We know x=ρsinϕcosθ , y=ρsinϕsinθ,z=ρcosϕ

Q: A conical tank has height 3 m and radius 2 m at the top. Water level is rising at a rate of 1.3…

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Q: Find the point (x,y), at which the graph of y = 7x² + 9x-7 has a horizontal tangent. ← The function…

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Q: Evaluate the following indefinite integral f11 sin(x) - 2 cos(x) dx = +C

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Q: 10 Find the derivative off with respect to x of f(x) = In x¹0. 10 The derivative off with respect to…

A: Given query is to find the derivative.

Q: Solve the following differential equations. y' = y - xy3e-2x

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Q: e from 0 to 1, the effectiveness E of a pain-killing drug t hours after entering the bloodstream is…

A: Topic:- calculus

Q: Find a particular solution to the differential equation y" - 1y' + 0y = -650 sin(5t) Answer: y(t)=…

A: The given differential equation is: y''-1y'+0y=-650sin5t To find a particular solution to the given…

Q: Find the slope of the function's graph at the given point. Then find an equation for the line…

A: f(x)=7x+2 at (2,4)

Q: What is the domain of the equation?

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Q: Use the indicated x-values on the graph of y = f(x) to find the following. m 9 с fgh X Find…

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Q: Determine whether the Mean Value theorem can be applied to f on the closed interval [a, b]. (Select…

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Q: Confirm that the below limit meets the conditions to apply l'Hôpital's Rule and then solve the…

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Q: 1 Find all points (x, y) on the graph of f(x) = x³-3x² + 10x + 18 with tangent lines parallel to the…

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Q: Suppose f(x) 12 X (a) The rectangles in the graph on the left illustrate a left endpoint Riemann sum…

A: Please see the below picture for detailed solution.

Q: Find f'(x). f(x)=3 lnx +5ex - 4x²

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Q: Y=4csc x A, B, C, or D

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Q: At an Oregon fiber-manufacturing facility, an analyst estimates that the weekly number of pounds of…

A: As per our company guidelines, we are supposed to answer only the first 3 sub-parts. Kindly repost…

Q: The region bounded by the given curve is rotated about the specified axis. Find the volume V of the…

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Q: xy' - ( 1 + x ) y = xy2

A: xy' -1+xy=xy2

Q: Find dy by implicit differentiation. 4x³y²2 - 10x²y = 8

A: We can find the derivative by using the implicit differentiation.

Q: Find f'(x). f(x) = 4 ex + 5x - In x f'(x) =

A: Topic- Derivative of a function We are given, f(x)=4ex+5x-ln(x) we know…

Q: N(t)= 250,000(.494)^t When will 10 percent of the original amount of aluminum be in use? In years

A: The given equation is: Nt=250,0000.494t To find: When will 10 percent of the original amount of…

Q: Make a sign diagram for the derivative of the rational function. 2x + 8 --Select-- O ( ) = -Select-…

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Q: Find the limit lim x → (pi/2)+  (etanx) *Please use handwriting not type script, i understand it…

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Q: First find f' and then find f. f"(x) = 4x (9x³ + x²) + 10, − f'(1) = 5, f(1) = -8. f'(x) = f(x) = J…

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Q: Find vector c × (a + 3b), where a, b, and c are given below. ijk i j k -1 a = 509,b=0 0 1 0 -9i+27i…

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Q: dy Find for the indicated function y. dx y = 15* + e 6 dy dx = □ (Type an exact answer.)

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Q: Recently, a certain bank offered a 10-year CD that earns 2.43% compounded continuously. Use the…

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Q: Explorers on a small airless planet used a spring gun to launch a ball bearing vertically upward…

A: Derivate s with respect to t and then equate that to zero putting t= 40 sec

Q: What will the value of an account (to the nearest cent) be after 8 years if $100 is invested at 6.0%…

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Q: dy dx y = 8 log 5x Find dy dx || (Simplify your answer.)

A: Given; y=8log5x.

Q: verify that the two planes are parallel, and find the distance between the planes. (Round your…

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Q: Find

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Q: Find the derivative of P=t^5ln(t+4) dP/dt=

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