Find fa, fy, fz. f(x, y, z) x²y 2z+1

Q: Find the limit, if it exists. (If an answer does not exist, enter DNE.) x² lim x→∞ 1-7x² Xx

A: Let,  F=

Q: 10. The graph of the function f(x) is shown to the right: Which of the following statements is true…

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Q: Find the unit vector a) that makes an angle of (-3pi/4) with the positive x-axis b) obtained by…

A: To find the unit vector that makes an angle of (-3π/4) with the positive x-axis:Using the formula…

Q: Find the Maclaurin series of n=0 sin(x) 26

A: The given function .The aim is to find the Maclaurin series of the function.

Q: Consider the following equation Find the following limits: 1. If y (0)= 1, find limx→ 2. If y (0) =…

A: Consider the following equationTo find the following limits: (1) If .(2) If .(3) If .

Q: Change the exponential statement to an equivalent statement involving a logarithm. 2.3=9*

A: Given,

Q: A box with a square base and open top must have a volume of 442368 cm³. We wish to find the…

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Q: y = (sin¯¯¹(x²)) tan-¹.

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Q: Find and simplify(f(x)g(x)) = f"(x)g(x) + 2f'(x)g'(x) + f(x)g"(x) Of"'(x)g(x) + f(x)g"(x) Of"(x)g(x)…

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Q: If f(x) = 6(sin(x))ª, find ƒ'(3).

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Q: Find implicitly: dx In(xy²z) + x²z² + 2xy³ = 1

A: The given equation is

Q: Find the indefinite integral. [cxc² (7) ax CSC dx Step 1 Observe that 1/3 1/3 is the derivative of…

A: .

Q: Find d²y 2 dx 11 y=¹1√√x

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Q: lim 848 ន x+1 ឃ

A: To find:-

Q: Consider the function f(x) = 5 - 8x² on the interval [-3, 7]. Find the average or mean slope of the…

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Q: So ye -2y dy

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Q: Use the method of cylindrical shells to find the volume V generated by rotating the region bounded…

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Q: t 3t+1

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Q: If f(x) = 5x² +7x+7 √x then:

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Q: Your friend is at the top of a building which you know to be exactly 100 feet high. She throws a…

A: 1)sol)Top of building height s=100 feet  Stone downward speed=v"ft"/"sec"  distance formula in t…

Q: Use dy/dx = -Fx/Fy to find dy/dx. 7tan-1(x2y) = x + xy2

A: The given equation Let

Q: 7. A rectangle with base x and heighty has a perimeter of 175 ft. Express the area A of the…

A: (7) To express the area A of the rectangle as a function of its base x, The formula for the…

Q: Given h(x) Degree of h = 4 3x + 6x + 24x answer the following questions: The leading coefficient of…

A: The x intercept of a function is the point where the graph crosses the x axis.The yintercept of a…

Q: Find r(t) for the given conditions. r'(t) = 8e4ti +5etj, r(t) = 2(et)i+5e¹j 4t X r(0) = 2i

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Q: d² y dx² -2 dy dx +4y= 0

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Q: Use the Fundamental Theorem of Calculus to evaluate the definite integral. Use a graphing utility to…

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Q: Consider the following function. Use a graphing utility to confirm your answers for parts (a)…

A: In this question, we will find critical point , Increasing or decreasing interval and Relative…

Q: x = −5+2s 32. a) Convert the plane to scalar form. ₁: y = -3s + 2t z = −1+t 32. b) Determine how the…

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Q: Use the disk method or the shell method to find the volume of the solid generated by revolving the…

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Q: Use implicit differentiation to determine an expression for dy dx if y√x+1 =

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Q: 3. Consider the function f(x) = on the interval [1,9] (a) State the full Mean Value Theorem for…

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Q: Given y = f(u) and u = g(x), find y=8u+1, u = dx (글)x 2 || 3 + dy ᆞ = f'(g(x))g'(x). dx

A: According to Bartleby guide line we only do first part of multiple questions.(A) y=8u+1,

Q: nd [₁9(a) d g(x) dx = -10, evaluate the integral If g(1) = -4, g(5) = -4, and [₁²xg' xg'(x) dx.

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Q: Express the integrand as a sum of partial fractions and evaluate the integral. S 23dx (x²-1) ²…

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Q: Can you do part d) and e)

A: The linear equation is given by:

Q: Bioavailability is a term that refers to the fraction of an antibiotic dose taken orally that is…

A: Given functions

Q: Find r'(t), r"(t), r'(t) · r"(t), and r'(t) x r"(t). r(t) = 5t²i – 3tj + _t3k (a) r(t) 5ti - 3j +…

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Q: 2. Differentiate the following, then simplify. e2x-ex a) y = ex b) y = c) Find the inputs that…

A: Take derivative.

Q: 2. Find the arc length function associated to the curve y = ln(cosx), where 0<x<.

A: y=ln⁡(cos⁡x), where 0⩽x⩽π4.

Q: Find the indefinite integral and check the result by differentiation. [(5x² + (2x152)dx (3x)² Step 1…

A: To find the indefinite integral and to check the result by differentiation.

Q: 8) Sketch the graph of the polynomial function: f(x) = x²(x + 4)(x − 7)*(x − 2)³

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Q: Prove the identity. cosh(x) + sinh(x) = ex cosh(x) + sinh(x) = 2²/²/(₁ x + e -x) + ²/² ( 1 = 2/(1 ||

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Q: 2. The value of a copy machine is $9565 when it is purchased. After two years its value is $7680.…

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Q: Find the critical numbers of the function. g(t) = t√13-t, t < 12

A: To find the critical numbers of the following function.

Q: Evaluate the integral. S dx 2 √36x² - 49 O A. x= tan 0 7 6 7 B. X-sin 0 6 " Which substitution…

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Q: ketch and shade the region enclosed between y=(1/2)x^2 and y=xsqrt(x).  a. Rotate the region about…

A: The region enclosed by curves The graph or region

Q: Let f(x, y) = y²x − yx² + xy. (a) Show that the critical points (x, y) satisfy the equations y(y -…

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Q: At what point on the curve y = √3+ 2x is the tangent line perpendicular to the line 12x + 4y = 1? -…

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Q: A spherical balloon is to be deflated so that its radius decreases at a constant rate of 15 cm/min.…

A: A spherical balloon is to be deflated so that its radius decreases at a constant rate of 15…

Q: 6. A right circular cylinder with heighth and base radius r has a total surface area of 90 square…

A: (6) The surface area (A) of a right circular cylinder is given by the formulaA=2πr2+2πrh