d'y dr² dy - 2x +2y=x²³, dx

Q: A line has y-intercept 11 and z-intercept –13. Find a vector equation of the line. O A) [x, y, z] =…

A: The line has y-intercept 11 and z-intercept -13. So the line passes through points A(0,11,0) and…

Q: 5. Which of the following is NOT an identit 1 - cos²x = sin²x 2 tan²x = 1 + sec¹x COSX sinx = cott…

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Q: ₁²√3x²2dx, u = 3x² - 2 du

A: Use the u-subsituation

Q: The marginal profit is given by MP= P'x = x(90x+2x^2). Find the total profit function.

A: To find the total profit function, we need to integrate the marginal profit function with respect to…

Q: Find a function f(x, y, z) such that V f = (8z, 4y³, 8x). (Use symbolic notation and fractions where…

A: Given that :-       ∇f=8z,4y3,8x  ⇒∇f=8zi^+4y3j^+8xk^  ....(1) Now we know that…

Q: X cos(x) dx?

A: ∫xcosxdx

Q: 3) Find the equation of the osculating circle of the standard parabola y = x² at its vertex.

A: To find the equation of the osulating circle of standard parabola y=x2 at its  vertex

Q: Sketch an example of a non constant function f(x) such that - 0 f(x) dx = 8

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Q: x ¹ y ³ z ³ y ³ where r, the exponent of x, is: and s, the exponent of y, is: and finally t. the…

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Q: a. Find the derivative function f' for the function f. b. Determine an equation of the line tangent…

A: The slope of the tangent line to the curve is equal to the derivative of the function at the given…

Q: Find a series expansion centered at x = 0 for M8 Σ • Sf² 2²², n=0 t¹³ sin(t)dt.

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Q: The cost function for manufacturing electric drills is estimated to be: C(x) = 3x² - 10x + 243.…

A: The cost function is, C(x)=3x2-10x+243

Q: a) Find the parametric equation of the line passing through the point (1, 5, -3) and parallel to the…

A: In this question, we can find parametric equation and value of k.

Q: . Use a table to find the Taylor Polynomial P;(x) for f(x) = cos(x) with center c = π. A. P(x)= B.…

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Q: represents a vector going 5 km/h N20°E. What is a. 5 km/h S20°E b. 1 km/h S20°W A ? 1 km/h W20°S d.…

A: A→ represents a vector going 5km/h N20°E

Q: 5. f(x)=x² + 8x - 64, what's the minimum point of f(x)?

A: We have, f(x) = (x ^ 3)/3 - 9/2 * x ^ 2 + 8x - 64

Q: Bill Casler bought a $6000, 9-month certificate of deposit (CD) that would earn 9.2% annual simple…

A: As per our guidelines we are supposed to answer only one question at a time. Solution of 1st subpart…

Q: Decide from the graph whether a limit exists. If a limit exists, find its value lim F(x) x→-2

A: If the limit exist then the left hand limit and right hand limit are equal

Q: If z = (x + y)e and x 2t and y = 1 — t², find the following derivative using the chain rule. Enter…

A: Function is  z=(x+y)ey, x=2t, y=1-t²

Q: Use the graph and the function to find the following. a) Find lim k(x). x--1 b) Find k(-1). c) Is k…

A: limit existance conditionif LHS limit = RHS limit continuity existance conditionif LHS limit = RHS…

Q: Check that the point (−1, 1, 3) lies on the given surface. Then, viewing the surface as a level…

A: The given surface is:f(x, y, z)=2x2-3y2+2z2-17   The given point is:  P=-1, 1, 3

Q: Evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of…

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Q: The function Ур is a particular solution to the specified nonhomogeneous equation. Find the unique…

A: The given differential equation is;  y''+2y'+2y=24ex(cosx-sinx)  yp=6excosx y(0)=0, y'(0)=1.

Q: What is the volume of the 3D region obtained by rotating the following 2D region around the y-axis…

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Q: VIII. Find the equation of the plane with the given description. 1. Passing through P = (2,-1, 4), Q…

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Q: 2) Consider two spheres (x - 2)² + (y - 3)² + z² = 1 x² + y² + z² = -8y + 2z + 3 a. What is the…

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Q: f(1) = 1 ƒ'(1) = 2 ƒ'(3) = -5 (a) Chain Rule: h(x) = f(g(x)) ⇒ (b) Product Rule: h(x) = f(x) · g(x)…

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Q: etermine the moment of force F about point A. = 260 N swer: M₁ = (i 0.55 m 0.50 m i+i j+ i k) N-m

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Q: The expression (3a¹b³c¹)² (2a²b³c³)³ equals na²b³c¹ where n, the leading coefficient, is: and r, the…

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Q: What is an antiderivative of the function x + 2xln(x)? x²ln(x)+2023 xln(x) +2023 In(x) + x xsin(x) +…

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Q: The region bounded by f(x) = -3x² + 18x + 81, x = ( volume of the solid of revolution. Find the…

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Q: f(3) = lim f(x)= x-3 f(5) lim f(x)= x-5 lim f(x)= lim f(x)= x-3° lim f(x) = x-5 lim f(x)= 1-5 M lim…

A: When function continuous at x=1⇒limx→afx=faOR⇒limx→a-fx=limx→a+fx=fx

Q: Evaluate the given definite integral. 6 x√x-6 dx

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Q: 2x cos(x²) esin(x2-

A:

Q: Bill Casler bought a $4000, 9-month certificate of deposit (CD) that would earn 8% annual simple…

A:

Q: Work of 3 Joules is done in stretching a spring from its natural length to 19 cm beyond its natural…

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Q: Given one form a line, match it with its equivalent equation in another form. x = -t { y = 1 z = 1+…

A: x=-ty=1z=1+t

Q: The federal tax rate for heads of household is given in the graph shown to the right. Use the graph…

A: We are given a graph of a function rx.We need to find the following limits:limx→8297-rx,…

Q: 2x 4. If x = (1, -2, 7), ³ = (0, 5, 1), and z = (1, 1, -2), then what is the value of a. 6 12 b. 7…

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Q: PART III: Solve the following problems. 2. The sum of two positive numbers is 2. Find the smallest…

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Q: 1/3 The integral fo²³ 3-√2-9x1² dx is to be evaluated 0 directly and using series approximation. 1)…

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Q: Lines intersect in a point in two-space but do not intersect in three-space. True False

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Q: Write the trigonometric expression in terms of sine and cosine, and then simplify. sin(u) tan(u) +…

A: NOTE: Refresh your page if you can't see any equations. . the given expression is, as we know,…

Q: Compute the integral f/4 tan² (x) dx.

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Q: Represent the sum of the complex numbers −3+2i and −3−i on the complex plane. Use the Point and…

A: Given that -3+2i and -3-i To determine the sum

Q: Let g be the real-valued function defined by g(x)= Find the solution to the equation = This equation…

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Q: Evaluate the integral. (Use C for the constant of integration.) √ 8 tan³(x) sec(x) dx

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Q: A ball of radius 16 has a round hole of radius 4 drilled through its center. Find the volume of the…

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Q: volume is described as follows: 1 the base is the region bounded by y = 8-2² a and y = 0 .every…

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Q: List the points in the xy-plane, if any, at which the function z = 8 + √√(x − 6)² + (y + 7)² is not…

A: