Find two unit vectors that are orthogonal to both (5, 3, 1) and (-1, 1, 0).

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Q: Let lim f(x) = 17 and lim g(x) = 11. Use the limit rules to find the limit below. x-9 x+9 lim…

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Q: Q3 C7

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A: since you have posted multiple questions in this question which are not interlinked so i have solved…

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Q: Find all the second order partial derivatives of the given function. 6) f(x, y) = x² + y = ex+y -

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Q: Find the first four nonzero terms of the Taylor series for the function f(x) = (6+x)² about x = 0.

A: Hence,f(x)=623​+236​​x+46​3​2!x2​−83​(6)2−3​3!x3​Explanation:Step 1: To find the first four nonzero…

Q: Solve the problem. 10) Find the equation for the tangent plane to the surface 6x+5y - 5z = -9 at the…

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Q: Find the average rate of change for the following function. f(x) = 4√√x between x = 1 and x = 9 The…

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Q: Find the linear approximation to the following function at the given point 2 f(x)=-3x-4x; a = 3

A: GivenThe function and the value of a=3.The expression for the linear approximation is given byTo…

Q: Find the derivative of the following function. y= (3x²+7) (4x+1) 5x-9

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Q: Find the particular solution of the differential equation that satisfies the initial condition(s) f"…

A: To find the particular solution of the differential equation that satifiesthe following initial…

Q: Graph the curve manually. Indicate the positive orientation. r(t)=6cos(t) i + 4sin(t) j -2k for…

A: First of all, express the curve in Cartesian form.

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Q: show all steps please! thank you!

A: The slope of the tangent line at point (x,y) is given as

Q: Consider the given limits (a is a constant, f(x) > 0). lim f (x) = 0 xa limp (x) = ∞ xa lim g(x) = 0…

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Q: evaluate the following limits x approaches infiniy square root (7+11xsqaured)/5+8x). and x…

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Q: Find the slope of the tangent line for the curve r = -7-7 cos 0 when 8 = 2

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Q: Gravel is being dumped from a conveyor belt at a rate of 50 cubic feet per minute. It forms a pile…

A: Given:Base diameter and height are always equal.

Q: Use the shortcut rules to mentally calculate the derivative of the given function. f(x) = 8x4 f'(x)…

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Q: Please answer C

A: (c) Use the Chain Rule to compute ∂s∂f​ ∂s∂f​=∂x∂f​∂s∂x​+∂y∂f​∂s∂y​+∂z∂f​∂s∂z​=…

Q: f" (x) 0, nn +4 f' (n) = −n f' (n + 4) = n +1 f(n) = n f(n+4)=n+7

A: The given condtions are

Q: R 2) Evaluate the double integral ff (x² + y²) dA over the region bound by 9 ≤ x² + y² ≤ 25 by…

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A: Step 1:Step 2:

Q: Solve the initial value problem t2 dy - t = 1+y+ty, y(1) = 3. dt y = =

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Q: Find the equation of the tangent line at the given point on the following curve. 2xexy = ex5+ yet? ‚…

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Q: Calculate the monthly finance charge for the credit card transaction. Assume that it takes 10 days…

A: The objective of this question is to calculate the monthly finance charge for a credit card…

Q: Solve the problem. 10) Find the equation for the tangent plane to the surface 6x+5y - 5z = -9 at the…

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Q: Find a power series for the function, centered at c. 1 f(x) = C = 0 1-7x'

A: f(x)=11−7x,c=0Power series of 11−x is given as:11−x=∑n=0∞xn

Q: 10. Find the first partial derivatives of the following functions. (Do not simplify your answers.)…

A: To find the first partial derivatives of the following functions.

Q: Please solve the following calclus 3 problem: show all work by hand and follow all the steps.

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Q: Calculate the monthly finance charge for the credit card transaction. Assume that it takes 10 days…

A: Average Daily Balance Method:Finance charge = (Average daily balance) × (Monthly interest rate)To…

Q: a) sin(x) + cos(r) - √x+dr x+2x³ dx I c)/3-e dx

A: To find : Evaluate the given indefinite integrals.

Q: A box with a square base and open top must have a volume of 131072 cm^3. We wish to find the…

A: First, we know that the volume of the box is given by V=x²h, where x is the length of one side of…

Q: Officials in State A tend to raise the sales tax in years in which the state faces a budget deficit…

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Q: Question 3. Solve all full clean handwriting

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Q: In this problem you will calculate the area between f(x)=2x^2 and the x-axis over the interval [0,5]…

A: The objective of this question is to calculate the area under the curve f(x) = 2x^2 from x = 0 to x…

Q: Consider the following. u = (2,-1), v = (4, 1) (a) Find u . v. U⚫v= (b) Find the angle between u and…

A: Step 1: Given vectors are;u= <2,−1> and <4,1>∴u=2i^−j^​ and v=4i^+j^​ Step 2:…

Q: dw Use the case 1 chain rule to determine the derivative where dt ม w(x, y, z) = xez and x(t) =…

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Q: 6a

A: Step 1: Step 2: Step 3: Step 4:

Q: 3. Verify sin(x) + cos(x) cot(x) = csc(x)

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Q: A car is moving along a straight road. At time t seconds, the position of the car (in feet) is s(t)…

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Q: #3: Suppose that f(x) is the sum of the Fourier series 4+6n = f(x) + Σ sin(nx) n=1 1+n² +5 sin.x +…

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Q: Use the quotient rule to find the derivative of the following. 2 8x +9 y= 2 x +5 dy dx =

A: Solution is following in explanation step.

Q: A rotating light is located 11 feet from a wall. The light completes one rotation every 2 seconds.…

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Q: Consider the parametric equations x = sint, y = t2, with t on [0, 2л]. Sketch a at graph of the…

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