Use the gradient to find the directional derivative of the function at P in the direction of v. h(x, y) = e -6x sin(y), P(1, 1), V = -i

Q: down oes... not a precise m However, with ann an algebra c concave do rate of chang creasing y…

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Q: The derivative of a function of fat z is given by provided the limit exists. f(x+h)-f(x) = f'(x) =…

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Q: Let f(x, y, z)= = fz(x, y, z)= fy(x, y, z)= fz(x, y, z)= 2² - 2y² I y² + 4z² Then

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Q: Evaluate the following limit. Use l'Hôpital's Rule when it is convenient and applicable. log 6X log…

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Q: Find the area between the curves. 1/5 6/5 y=x, y = 4x ... The area between the curves is (Do not…

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Q: Find the gradient of the function at the given point. Function Point f(x, y, z) = x² + y² + z² (8,…

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Q: Sx tanx dx

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Q: a. Verify that the function y = cos x - sinx + x² - 2 is a solution of the given differential…

A: As per the rules we are supposed to answer the first question and rest can be reposted.

Q: Write the given differential equation in the form L(y) = g(x), where L is a linear differential…

A: We have to find solutions

Q: How long it would take to double an invesment if the rate of interest is 10% compounded quarterly?

A: Follow the procedure given below.

Q: Verify the identity. sin(x) + cos(x) = sin(x) cos(x) sec(x) + csc(x) sin(x) + cos(x) sec(x) + csc(x)…

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Q: Find an equation of the tangent plane to the surface at the given point. (2,0,0) g(x, y) = arctan…

A: Answer and explanation is given below...

Q: Find a homogeneous linear differential equation with constant coefficients whose general solution is…

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Q: Find the Laplace Transform of f(t) = sin2tcost (A) B 2 s+55² +4 2 E s² +3 s+10s² +9. +(57+55²+4) Ⓒ4…

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Q: The height y (in feet) of a ball thrown by a child is 1 y = - -x² + 6x + 3 12 where is the…

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Q: Find the critical points of the following function. Use the Second Derivative Test to determine (if…

A: To find the critical points of the following function. By using the Second Derivative Test to…

Q: ASK YOUR TEACHER Find sets of parametric equations and symmetric equations of the line that passes…

A: This question is based on 3-d line equation.

Q: Two cars start from rest at a traffic light and accelerate for several minutes. The graph shows…

A: Given :The velocity of the graph of Car A and car B is given in the graph.And we know that the graph…

Q: Find an equation of the tangent plane to the surface at the given point. h(x, y) = In√√x² + y2, (3,…

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Q: 2 termis U

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Q: If r(t) = cos(-4t)i + sin(-4t)j + Ok compute r'(t)= i+ j+ k k+ C and fr(t) dt=i+ with C a constant…

A: Given: rt=cos-4ti+sin-4tj+0k   As we know that; The Chain Rule: fgx'=f'gx·g'x   And the common…

Q: Find the critical numbers for h(x)=x^2-x^4. Show all work.

A: The objective of the question is determine all the critical point of the given function.

Q: aU: Calculate the derivative of function is not differentiable at an explain in your own words why…

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Q: Find the absolute maximum and minimum values of the following function on the given region R.…

A: To find the absolute maximum and minimum.

Q: Sketch the graph of the inverse function. -B Ау B- (2,3175) Q ✔ Choose the correct graph below. O A.…

A: The given graph is

Q: 3. From a thin piece of cardboard 14 in by 14 in, square corners are cut out so that the sides can…

A: This question can be solved using the concept of maxima and minima.

Q: Find the angle 9 between the vectors in radians and in degrees. (Round your answer for part (a) to…

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Q: 3 Solve the following ODES by Inverse Operator method. 2X (D²³ +1) y = 3+* +52x ● X/2 Ans: y=c₁e³+…

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Q: Find the domain of the function f(x) domain? = 1 √ x² + 1x 30 . What is the greatest value of a not…

A: The given function,  fx=1x2+x-30

Q: The approximate rate of change in the number (in billions) of monthly text messages is given by the…

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Q: A white wine at room temperature 70° F is chilled in ice (32°F). If it takes 15 minutes for the wine…

A: Given that , Room Temperature T0=32°F

Q: Find three positive integers x, y, and z that satisfy the given conditions. The sum is 33, and the…

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Q: Consider the parallelepiped with adjacent edges u = 5i + 2j + k v=i+j+ 7k w = i + 9j + 5k Find the…

A: Given, u=5i+2j+k,v=i+j+7k,w=i+9j+5k.

Q: Consider the following differential equation to be solved by variation of p y" + y = csc (x) ind the…

A: The solution is given below

Q: Solve for t, 0 < t < 2π 14 sin(t)cos (t) = 8 sin(t) t = 0.96,5.32 Give your answers accurate to at…

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Q: The tangent line to the curve il me f(a) at 2 m 1 goes through the points y=f(x) x == and Find the…

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Q: Find the area of the region bounded by the graph of ​f(x)=sin x and the​ x-axis on the…

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Q: 4. (x²-5x+6)y" - 3xy' - y = 0; Xo = 0

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Q: 4 n=n? + 2n 1 4. Σ -(x-3)"

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Q: Find the Laplace Transform of f(t) = te cos(3t) (A) B D s+1 s² (s+ 1)² +9s² = ((5+1) ²+9) S s²…

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Q: #10 M8 0=1 n² +8 a. Comparison test with 1.5 Shows the series diverges. n' b. limit comparison test…

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Q: Solve the equation for exact solutions in the interval [0°,360°). Use an algebraic method. 2 4 sec 0…

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Q: In Problems 11-14, find the first three nonzero terms in the power series expansion for the product…

A: given that      f(x) = sinx = ∑k=0∞-1k2k+1! x2k+1                          gx=cosx = ∑k=0∞-1k2k!…

Q: lim x→5 3x |x-5|

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Q: es The bearing of a ship from a lighthouse was found to be N 16° E. After the ship sailed 7.3 miles…

A: This question is based on use of Sine law.

Q: At 6 AM the temperature outside was -7 degrees. By 2 PM it had warmed up to 18 degrees. By how many…

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Q: Complete the description of the piecewise function graphed below. 6 5 4 4 if m-fi { f(x) = -2 if 3…

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Q: Evaluate the following integral: Sºa dx -00x²+1

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Q: on the closed triangular region with vertices (0, 0), (9, 0) and (9, 11). List the minimum/maximum…

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Q: Use CRAMER'S RULE to solve the system : 2x-y-z = 2 4x + y -z =-5 6x - 2y +2z=17

A: To solve the system using Cramer's rule.