Find the gradient of the function at the given point. Function Point (7,4) f(x, y) = Vf(7, 4) = x + 8y y + 1 Find the maximum value of the directional derivative at the given point.

Q: (5+162²) ²- Question 16 Find the curvature of the plane curve y = 5x² +8 at x = -1. Round your…

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Q: Consider - 2x 2) (² f(x, y) = e fxx + fyy = 0 cos 2y - e -2y cos 2x. Verify that

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Q: Use the formula for the sum of the first n terms of a geometric sequence to solve. Find the sum of…

A: Sum of first n terms of a geometric sequence is given by Sn=arn-1r-1 where a is te first term and…

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Q: Calculus I Find d^2y/dx^2 for x + y^2 = 3

A: Solving the problem by finding the value of the problem.

Q: Find critical value -5x^3+15x+3

A: This question can be solved using the concept of critical points of a function.

Q: The directional derivative of f(x, y) = -xe²y – x³y at the point (0, 4) in the direction of the…

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Q: x(t) = L−1 (5s² — 22s +24) s(s² - 4s+8)

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Q: Consider the indefinite integral fe5z +6 dæ: a) This can be transformed into a basic integral by…

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Q: nd the general solution to the differential equation ut the problem in standard form. nd the…

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Q: A class of eighth graders undertook an ambitious project to compile the most dominant color of…

A: A class of eighth graders undertook an ambitious project to compile the most dominant color of…

Q: Divide using synthetic division. (x 2 + 15x + 54) ÷ (x + 7)

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Q: Work problem 3 Given the vector function () 5 F(t) = (6t³ · (61³ – —‚ t - sec(4 – t)), then find the…

A: We have to find the tangent vector at t=4.

Q: Estimate Ay using differentials. .1/3 y = x¹/3 e³x-1, a = 1, dx = 0.1 -

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Q: dy Find ck by implicit differentiation. √x+ y + √xy =4

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Q: Use the formula for the sum of the first n terms of a geometric sequence to solve. Find the sum of…

A: The given geometric sequence: 32, 38,332,.....

Q: A tank that has a shape of an inverted circular cone with height 15 meters and base radius 6 meters…

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Q: Use the given information to find the exact value of the trigonometric function.  cos θ = 1/4 , csc…

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Q: 1. Find for 2³-y³+r²y = 10

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Q: A turkey is cooked to an internal temperature, I(t), of 180 degrees Fahrenheit, and then is the…

A: Given that , Internal temperature =180°F what is the differential equation to solve for It.

Q: 2. Find the first derivative given that f(x)=x√√x + 1 x²√x

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Q: Consider the accumulation function A(z) = Calculate A(5) Question Help: Video -1² (4t +9)dt Submit…

A: This question is related to definite integration, we will solve it using given information.

Q: Determine the location and value of the absolute extreme values of f on the given​ interval, if they…

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Q: Determine the continuity of the function f(x, y, z)= O continuous except at (0,5, 0) O continuous…

A: topic- continuity of a function

Q: The rate of change of N is inversely proportional to CSC(x) · N(x), where If N () = 1, and N (5) =…

A: Given: dNdx∝1cscx.N

Q: the first five terms of the geometric sequence. a n = 4a n-1; a 1 = -4

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Q: The partial derivative with respect to x of the function f(x, y) = x²y + cos y + y sin x ? Select…

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Q: lim I→0 √2+11-√11 I

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Q: Apply the Mean Value Theorem tof on the indicated interval. Find all values of c in the interval [a,…

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Q: 7. Use the graph to determine the intervals on which the function is increasing, decreasing, or…

A: 7)  from given grap  (oo ,-2] decreasing and [-2,oo) increasing Minimum at x=2 value is -2 8)(oo…

Q: The graph shows the ellipsoid x² + 4y² + z² = 16. Use the graph to determine the equation of the…

A: The given data is: x2+4y2+z2=16 Let  fx,y,z=x2+4y2+z2-16 Now, fx=2xfy=8yfz=2z

Q: Solve using variation of parameters: y" - 2y + y = ¹/(1+t²) + 3e¹ Type the letter of your answer. Yc…

A: Given :y''-2y'+y=et1+t2+3et

Q: Use the Ratio Test to determine whether the series is convergent or divergent. 157 (n + 1)62n + n =…

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Q: Consider the function f(t) = 6 and real number a = - 4. X a. Find and graph the area function A(x) =…

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Q: F. (DERIVATIVES OF EXPONENTIAL AND LOGARITHMIC FUNCTIONS) 1. Find f'(x) if f(x) = 3e². 2. Find g'(x)…

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Q: Find the coordinates of the center, foci, vertices, and the equations of the asymptotes of the conic…

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Q: Shouldn't the 6 be divided by a two, so f'(c) = 3?

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Q: 1. Describe what it means for a relation to be a function. Provide an example of a function, and…

A: Description given below with example

Q: Find the solution of the following IVP: y(t) = = dy dt 2ty=9t²e, y(0) = 5.

A: We have to solve the given IVP.

Q: S dz zlnz (Inz)²-1 Select one: O A. Q B. O C. Q D. arcsec(Inx) + C arcsin(lnx) + C arccot(Inx) + C…

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Q: 2. For Luce Landscaping, the total revenue and the total cost for yard maintenance of a homes are…

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Q: Determine the location and value of the absolute extreme values of f on the given interval, if they…

A: Find critical points by putting derivative of f  equal to zero

Q: Decide if Rolle's Theorem can be applied to f(x)=x² - 4x² + 4x² +1 on the interval [-1, 3]. If…

A: Rolle's theorem states that if a function f is continuous on the closed interval [a, b] and…

Q: Use the Ratio Test to determine whether the series is convergent or divergent. Identify an 8 Σ (-2)^…

A: Understanding of the ratio test is required in order to understand this problem.

Q: Find the directional derivative g(x, y) = x² + y², of the function at P in the direction of v. P(5,…

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