Find the gradient of the function at the given point. g(x, y) = 5xev/x, (8, 0)

Q: Find the derivative of the given function. Fill the missing expressions. Use logarithmi…

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Q: N= N, - 0.2 t ,e

A: To find dN/dt for the followingN=N0e-0.2t

Q: Determine whether the lines intersect, and if so, find the point of intersection. (If an answer does…

A: Given lines are, x=8t+2,y=3,z=-t+1And x=2s+2, y=2s+3, z=s+1⇒x-28=y-30=z-1-1=t…

Q: A. Direction: Find the equation of the tangent line of the following functions at the specified…

A: As per our guideline we supposed to answer only first question with  3 subparts slope of the tangent…

Q: What percentage of bookcases in the example are large? Large constitute: ______ %

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Q: 10 -10 --5 5. 10 -5 -10 The graph of a piecewise function, f(x), is depicted above. Find its…

A: graph of the piecewise function is given, e have to find its equation.

Q: Find the volume of the triangular prism to the right. 12t The volume of the prism is . (Type an…

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Q: B. Directions: Find an equation of the tangent line to the graph of the equation at the given point.…

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Q: 3- f xvx2 +1 dx

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Q: Consider the differential equation y" – 11y" + 28y' = 0 Write the auxiliary equation of the given…

A: Given a higher order differential equation.

Q: Problem 2. Which gives the Laplace transforms of the given time-domain function? -2.5 In…

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Q: cosh? V 4-S dx Vx csch vx

A: We have to find given integral.

Q: cting with water in an acidic solution at a particular temperature, compound A decomposes into…

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Q: Question 9 of 10 q(x) = e" ln x Select the correct response. O e" In x - + eª ln x et +1

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Q: (4x* – r*y+ y*)dx + x*dy = 0.

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Q: cosh? V 4-S dx Vx csch vx

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Q: Choose the suitable substitution for the method of reduction of order to find a second solution y2…

A: We have to find the second solution of the differential equation.

Q: 4-x III. Evaluate f dx. V16-x

A: Let's find.

Q: the position function, in meteres, of a particle that moves along a straight line is…

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Q: (b) Oppositely directed to 18i – 12j + 6k. - 3 i 1 j + k V6

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Q: 3. Calculate the volume and total surface area of the solid prism shown. 11 cm 4 cm 15 cm 5 cm 5 cm…

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Q: Solve the boundary value problem y" – 10y + 25y = 0, y(0) = 3, y(2) = -2. || %3D

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Q: Area bounded by the curves y=e*, y=e", x=0 and x=In2 (A) 604/9 B) 304/7 304/14 (D 502/9

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Q: Determine f(x) given f'(x)=x^2 -3x+1and f(0)=2

A: We have to find f(x) from given information.

Q: Question 5 of 10 r(x) = cot2(3x² + 1) Select the correct response -6x2 csc(3.r2 + 1) cot (3.x + 1)…

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Q: B. Directions: Determine whether the following functions are continuous on the given interval. x-5…

A: 1).f(x)=x-5x2-x-6f(x)=x-5(x-3)(x+2)⇒Function is discontinuous at x=3 and -2And 3∈(-1,3)Therefore…

Q: Find the work required to haul a load 100 feet by a 100lb force acting on the load at a 20° angle.…

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Q: Evaluate (x – 17)dA where Ris the region in the first quadrant enclosed between y = x and y = x³. R…

A: Given curves y=x, y=x3 Now for point of intersection we put, x=x3 So, x(x2-1)=0 So, x=0,1 as x lies…

Q: Find the exact arc length of the curve over the stated interval. y = 3r/2 – 4, from a = 0 to a = 1…

A: The curve y=3x32-4, from x=0 to x=1

Q: Find the total area enclosed between y = r and y = x over the interval [-1,5]. NOTE: Enter the ezact…

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Q: What is the derivative of 3x+5?

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Q: uate the integral dx. /1+x

A: Given  jkjbb

Q: Find a set of parametric equations for the line passing through the point (1, 0, 2) that is parallel…

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Q: Using the algebraic technique (no graphs!) we learned in this unit, find the slope of the tangent to…

A: Given

Q: Question 1 Use the First Derivative Test to find the local maximum and minimum values of the…

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Q: tan x d. y = sec? t dt 3 е. y = dx 1— х2. its

A: We have to find dy/dx for the given function

Q: 1. Find the Maclaurin series for the function x2 In(4+ x). Also find the associated radius of…

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Q: The​ temperature, T, in degrees​ Fahrenheit, in a​ car's radiator during the first 4 minutes of…

A: Let's find.

Q: Suppose car A is heading south at 85 km/h and car B is heading east at 90 km/h. Both are headed for…

A: Consider

Q: ssignment : Determine the integral of the ff. function 1. S- 6 dx 2. S5 х4 dx 3. S ( 4 x7 + 7) dx 4.…

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Q: QUESTION 1 A farmer with 890 feet of fencing wants to enclose a rectangular area and the divide it…

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Q: ||r'(t) × r"(t)|| Use the formula k(t) to find k(t). ||r(t)||* r(t) = e"i+e-tj K(t) =

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Q: 7. Consider the curve x = 3t + 4t3 + 100, y = 3t - t3, -2 <t< 2. dy What is dy when t = 1? dx (a)…

A: Let's find.

Q: 5. A wooden rectangular box is to be made having dimensions 3 ft, 4 ft, 5 ft. The cost of the wood…

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Q: Which of the following limits can be evaluated using L'Hôpital's Rule? Зх- 12 A.lim x→4 x2 +16 Зx-12…

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Q: The vat shown in the accompanying figure contains water to a depth of xo = 1.9 m. Find the work…

A: To find the work require to pump all the water to the top of the vat. Given, 9810N/m^3 as the weight…

Q: Evaluate the integral. 37/4 3 sec e tan e de -7/4

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Q: solve D.E (Z+3j) du – 2xydy = 0

A: Given problem:- (x2+3y2)dx -2xydy=0

Q: Provide a step-by-step solution to the following differential equation (linear equation) (2x+3)y' =…

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Q: Directions: Find the derivative of the given function using the limit definitions. 1. f(x) = -3x + 5…

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