Find a vector function r(t) that represents the intersection of the surfaces: z = x² + y² z = y + 1

Q: The graph of the function shown below is of the form y = cos(x − d) or y = sin(x - d) where d is the…

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Q: 12

A: Topic - gradient of a vector

Q: Find the extreme values for f(x) = sin(x) + cos(x) on the interval [0, 2π].

A: The given function is f(x)=sinx+cosx   and the interval is 0, 2π. We have to find extrema on the…

Q: Dividing numerator and denominator by n², we have 6 + 15m² lim n- n + 12n² = lim 6 + 15m² n² n+ 12n²…

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Q: A spherical snowball is melting in such a way that its radius is decreasing at a rate of 0.2 cm/min.…

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Q: 7. Use the Root Test to determine if the series converges or diverges. a. b. k=1 W k=1 2k

A: The given series, a) ∑k=1∞k+12kkb) ∑k=1∞kek

Q: Find the points at which the graph of the equation has a vertical or horizontal tangent line. 16x² +…

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Q: 7. 8. I. lim f(x) = -0. 8118 II. lim f(x) = ∞0. 818 I. f is continuous at x = 2. II. f is continuous…

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Q: Find the Jacobian for the indicated change of variables. x = uy -2u, y = uv О д(x,y) H(u, v) О…

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Q: Use a double integral to find the volume of the indicated solid. X 5 4 3 CH N z=6-2y 2 0≤x≤4 0≤ y ≤2

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Q: A ball of radius 16 has a round hole of radius 5 drilled through its center. Find the volume of the…

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Q: Use constant differences or ratios to determine which parent function would best model the given…

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Q: (x² + y²) dx - xy dy = 0.

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Q: Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your…

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Q: Find the area of the portion of the plane in the first octant passing through the points (0,0,6),…

A: This question can be solved using the area of triangle in three dimensional geometry.

Q: Find the volume of the solid obtained by rotating the region bounded by the given curves about the…

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Q: Find a power series representation for the function, and find I, the interval of convergence.. 8 9-x…

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Q: What is the area under the curve of the following positive function y = 10x4 + 3x² between x = -1…

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Q: Use the fundamental identities to find the value of the trigonometric function. Find sin 0 if cos 0…

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Q: Find d y/dx Select the correct answer. 07 01 07 07 sint cost Int + 1 sint cost Int + t sint cost Int…

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Q: 8. Use the Direct Comparison Test to determine whether the series converges or diverges. a. b. n=1…

A: To use the direct comparison test to check the convergence of the given series. Direct Comparison…

Q: Problem 4.5 Let f(x)=x² - 2x² +3. (a) Find the intervals on which f is increasing or decreasing. (b)…

A: For the given function we need find out the intervals on which the function is increasing or…

Q: what point is the tangent line to y=1+2e* - 3x parallel to 3x - y = 5 ?

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Q: Suppose $1,500 is invested at an annual interest rate of 8 percent compounded quarterly. Compute the…

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Q: Find the definite integral of S™/6- π/6 Option 1: Option 2: Option 3: Option 4: 2 - In3 2 + In3 - 3…

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Q: The equation of the tangent line to f(x) = In x at x = 1 is O y = x - 1 O y = x O x = 1

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Q: 12. [*[*(v³² + y) dady

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Q: A dynamic system is represented by the following differential equation. y" - y' - 2 sin y = u(t),…

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Q: For the following exercises, evaluate the binomial coefficient. (3) 17 25 6. 11 7- (7) 7. (200) 8.…

A: To evaluate the binomial coefficient.

Q: A manufacturer of widgets has developed the following table showing the monthly profit P, in…

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Q: Question 4 Which statement below is the equivalent rewrite of logg 216 = 3?

A: Question no. 4,Given,           log6216=3

Q: 5. component of the acceleration. A particle moves with the position function r(t) =. Find the…

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Q: 23. Find the radius of the circle inscribed in a triangle formed by the lines 7x+24y-70-0,…

A: The given equations of the lines are: 7x+24y-70=0  ..........(1)21x-20y-70=0…

Q: Solve for x: 5-6x+2 = 44 O O O 44 -2 -1.13 21/12/17 - 2 (4-2)--0.06 44 -2 -0.06 5 -1/10 In 44-21n 5)…

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Q: (x) = (x^2)−16 / (x^2)+2x−8 . Find any holes(which are points) and V.A.

A: We have to find out hole

Q: they rent x apartments, ximize profit? s are given by: 0≤x≤ 1000 100 widgets per week?

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Q: Evaluate the integral. er HEAD ² y³ In(x) dx, y> 0 ind

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Q: Find the curl for the vector field at the given point. F(x, y, z)= 6xyzi+6yj+6zk (6, 7, 6) O…

A: To find the curl for the vector field  at the given point.Fx, y, z=6xyzi+6yj+6zkPoint=6, 7, 6

Q: Find the indefinite integral of S Option 1: Option 2: Option 3: Option 4: x ln |1x|+C x ln x + C In…

A: Integrate the function (1-lnx)/x^2 w.r.t. x .

Q: Consider the points below. P(0, -4,0), Q(6, 1, -2), R(5, 2, 1) (a) Find a nonzero vector orthogonal…

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Q: Question 1 Suppose I have $5000 to invest, and I am able to invest it at an 8% rate compounded…

A: Topic = Algebra

Q: Find an explicit formula for an where a1 = 1 and an = an − 1 + n for n ≥ 2. an =     plz show step…

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Q: Summarize the Fundamental Theorem of Calculus (FTC), Part II using your own words

A: We  have to write the meaning of fundamental theorem of calculus.

Q: A region bounded byf (x) = 4 3 2 X Find the volume of the solid formed by revolving the region about…

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Q: Determine the point(s) (if any) at which the graph of the function has a horizontal tangent line.…

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Q: Consider the function below. x² - 6xy² + y³ = 5 (a) Differentiate with respect to x (y is a function…

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Q: Integrate using appropriate U-Substitution. You must label u and du: (x - 1)(x + 1) 15x -5x³ S dx u…

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Q: la x b| |a| QR and b = QP. above formula to find the distance from the point to the given line. (5,…

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Q: Consider the following. f(x) = tan(x), (-¹) (a) Find an equation of the tangent line to the graph of…

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Q: Find the arc length of f(x) = (1+2²) from x = 0 to x = 2. Simplify your

A: Given :fx=231+x232x from 0 to 2