Find the tangent plane to the equation z = - 3x² + 2y² + 4y at the point (4, 1, - 42). 2 = Check Answer

Q: (a) As an iterated integral, with limits of integration A = B = C = D= Suppose f(x, y, z) = E = F=…

A: Let's evaluate triple Integral.

Q: Q9. Find the value of the right side of Gauss divergence theorem for F = x²ī+ zī+ yz k over the cube…

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Q: Q-3: a) b). Using logarithmic differentiation, find the derivative of -3x√2x-5 (6-5x)4 - 34x = 0.…

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Q: 6) 3/2 · 4x²)³/; 9x dx

A: Our Aim is to solve the integral given below:-∫9-4x252x6dx -(i)

Q: Let f(x) = ln(x² + 2x + 6) f'(x) =

A: We have to find the derivative.

Q: Evaluate the definite integral 8 6x² +6 -dx

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Q: Let f(x, y) = 2e sin(4) of д х of dy Check Answer

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Q: Let w(x, y, z) = x² + y² + z² where x = sin(7t), y = cos(-3t), z = e-4t. dx dy dz dw dt dt' dt dt…

A: Given problem:- wx,y,z=x2+y2+z2,x=sin7t,y=cos-3t,z=e-4t Find dwdt

Q: 2. Let f(x, y) = |x − 1| · yś. (a) Compute, if they exist, the partial derivatives få and fy at the…

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Q: 1261 (2x+1 dz 4-3x -x² 1 (((x+) dx (3) 28 (2x-3 dx √(x²-1) (2x+3) 31 32 33 dx √(x²+1) (2x+1) alx…

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Q: Suppose that a particle moves along a straight line with velocity v(t) = 10 - 5t, where 0 ≤ t ≤ 1.5…

A: The answer as follows:

Q: Find fxx(x,y), fxy(x,y), fyx (x,y), and fyy (x,y) for the function f. f(x,y) = 9x e 9xy fxx (x,y)=…

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Q: Q2. Find the second order partial derivative of x² - y² + 2xz - xy + yz.

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Q: •y+1 Q5. Evaluate S₂ S¹¹ xy dx dy. -2 Jy²

A: Topic = Integration

Q: Find the Taylor series generated by f(x) = 6 sin 5 at x = 0.

A: Answer is in next step.

Q: Let f be the function graphed below. If 20 subintervals of equal length are used, write a summation…

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Q: (3x - 2y + 1) dx + (3x - 2y + 3) dy = 0.

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Q: (a) Consider the sequence f(n) = 1 + 4n, where n is an integer ≥ 1 (i) Evaluate the first six…

A: The given sequence fn=1+4n, where n is an integer n≥1

Q: Find the indefinite integral on the domain of positive real numbers. Enter an exact answer. Remember…

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Q: Z= (a) What is the equation of the plane passing through the points (2, 0, 0), (0, 2, 0), and (0, 0,…

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Q: Let f be the function graphed below. If 20 subintervals of equal length are used, write a summation…

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Q: A curve has an equation x² + y² + 4x − 6y - 12 = 0 · Find the area bounded by the curve O 78.54 O…

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Q: J 9(x, y, z) dV over solid B. B = {(x, y, z) | x² + y² ≤ 9², x ≥ 0, y ≥ 0,0 ≤ z ≤ 4} and g(x, y, z)…

A: Please see the below picture for detailed solution.

Q: 2- The circle ² + (y-2a)2 = 4a² is rotated about the line y = -1 where a > 0. A torus is obtained…

A: Given: the circle x2+(y-2a)2=4a2 is rotated about the line y= -1 then torus is obtained from this…

Q: 6. Determine the 19th derivative of the function y=sin(x). Fully explain the process you used to…

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Q: Use the cross product u x v to find the obtuse angle between vectors u and v, where u = i +8j + k…

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Q: a. Find the antiderivative of f(t) = 7x + 6x³ - 8x² - 6. Justify your response.

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Q: Let r(t) = cost i + e^t j + t^2 k be given. A) Find the unit tangent vector to the curve at any…

A: Given: rt= cost i + et j + t2 k

Q: fin(x² + 1)dx (Ans: xln(x² +1)−2x + 2 tan¯¹ x + C)

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Q: A tank half-filled with water is in the form of a rectangular parallel piped 5ft deep, 15 ft wide…

A: Answer is c

Q: tiderivative. Indicate which formula from the that you may have to do a substitution, or a tables!…

A: Ass per the guideline I am answering only one question at a time. ∫tan3x2dx

Q: 5. The population, P, of an island, y years after colonization is given by the function P = a. What…

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Q: x² yey lim(x,y)→(0,0) x4 + x + y²

A: To evaluate the following limit.limx, y→0, 0 x2yeyx4+x+y4

Q: 76 6 27 6 Σ [5 (2 + (i - 1) =) * - 7 (2 + (x − 1))"] n n as a definite integral, that is provide a,…

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Q: Find two positive numbers with product 625 and whose sum is a minimum. Enter your answers in…

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Q: = Using calculus, find the absolute maximum and absolute minimum of the function f (x) [-3,2].…

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Q: Let à = (-2, 2, 3) and 6 = (4, - 1,5). Find the projection of b onto a. proj, b =< Check Answer

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Q: Find the intervals on which the graph of f is concave​ upward, the intervals on which the graph of f…

A: f(x)=-x4+16x3-16x+5 If a function is concave up then f"(x)&gt;0 If a function is concave down then…

Q: If log y = 7 which is equal to y? O 107 O 70 O 10000 O 7¹0

A: Topic - Logarithmic function log x=a x=10a

Q: Find the integrating factor μ(x) of y' + 4y - tan(x) = 0 such that μ(0) = 1. μ(x) =

A: See the details solution in below

Q: 60° IIPII=23 Q Find the EXACT components of the vector above using the angle shown. P Check Answer…

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Q: Use basic identities to simplify sin³ x + x + cos²x sinx. Enclose arguments of functions in…

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Q: Q6. Evaluate S¹, S₂ Sp dz dx dy.

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Q: Find the limit. x²y lim (x,y) → (0,0) x² + 8y²

A: limx, y→0, 0x2yx2+8y2

Q: d. y = ار نے

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Q: 3. Suppose that F(t) is a twice-differentiable function of one variable. Define the function f(x, y)…

A: At first we derive second order partial derivative of the given function   f(x,y)=yFxy.

Q: What is f'(0)? f(x) = (7x4) (3x+8)4

A: To find the derivative of given function at x=0

Q: The area of a square is increasing at a rate of 56 centimeters squared per second. Find the rate of…

A: Given data÷ Rate of change of area  =dAdt=56cm2/s Side of square =a=4cm We need to find dadt=?

Q: 8. Find the stationary points of the following functions and classify them as relative maxima,…

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Q: 4. An oil rig lies 20 km off the coast of Newfoundland. A town lies 80 km along the coast from the…

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