you alos calculate the following

Q: Find an equation in rectangular coordinates for the spherical equation p = 4 sec (6)

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Q: Consider the series n=1 Compute an where an = In this problem you must attempt to use the Ratio Test…

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Q: Find the two solutions of the given equation z² + 6z+ 10 = 0. / in your answers should be positive Z…

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Q: The graph of the derivative of f is shown below: -y-5 4 -3 -2- -1- 0 1 2 f'(x) 3 4 f', the…

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Q: 1) Analyze the function f(x)=x² In(x). Report extrema, inflection points, intervals of monotonicity…

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Q: Let f(t) be the function 2t² + 1t+5. Follow the steps below to use the formal definition of the…

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Q: Find the general Solution For D-E dy dx +y secx = COSX

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Q: Set up and evaluate the triple integral in spherical coordinates needed to compute the volume of the…

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Q: Find the dimensions of the right circular cylinder of greatest volume that can be inscribed in a…

A: The right circular cylinder is inscribed in a sphere of radius .The aim is to find the greatest…

Q: Find an equation of the tangent to the curve at the point corresponding to the given value of the…

A: x=t7+1,y=t8+t;t=−1x(−1)=−1+1=0y(−1)=1−1=0(x0,y0)=(0,0)Using the power Ruleddxxn=nxn−1

Q: A hemispherical tank with a radius of 8 m is filled from an inflow pipe at a rate of 4 m^3/min ​(see…

A: The hemispherical tank of radius

Q: Find the Maclaurin series of e 00 1 0

A: The given function

Q: Find the area of the region that lies above the x-axis, below the curve x = =t² + 5t+3, y = e with 0…

A: Given that the region that lies above the x axis, below the curve  with

Q: Use the following function to answer this question ; f(x)=sqrtx+7, g(x)=2x+4, h(x)=x/2   a/…

A: Use the following function to answer this question ; f(x)=sqrtx+7, g(x)=2x+4, h(x)=x/2

Q: S(3x+1) (3x²+2x+1)³dx

A: I=∫(3x+1)(3x2+2x+1)3dxSubstitute 3x2+2x+1=u

Q: A thermometer reading 8°C is brought into a room with a constant temperature of 28°C. If the…

A: A thermometer reading 8C is brought into a room with a constant temperature of 28C. If the…

Q: 8. Use the method of substitution to evaluate each of the following general antiderivatives 6x² (a)…

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Q: Find the points on the curve x = t² - 16t – 5, y = t² + 14t + 7 that have: A. a horizontal tangent…

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Q: We turn now to the problem of finding area under a curve. Suppose we want to find the area between…

A: As per guidelines we can solve only 3 subparts if multiple subparts are posted. So I am solving…

Q: Consider the function defined by f(x) = sin(sqrt(|x|)).  A) What is the domain of this function?…

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Q: Use the identity 2 sin æ cos x = sin(2x) to find the power series expansion of sin² x at x = 0.…

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Q: Monte Germany: Attempt 1 Which equation is correct? 4x^(3)(6x^(2))=10x^(6)

A: 4x^(3)(6x^(2))=10x^(6)is correct?

Q: The vector field F(x, y) = (-y sin(xy), -x sin(xy)) is the gradient vector field of the function…

A: find r(t) at t=2,t=0

Q: Evaluate this integral | √2 3 (1+x) + C √x(1 + x² ) 5 dx (1+x)³ +C 3 ○ 2 √ (1 + x ³ ) 6 + C Va 3 6 3…

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Q: Use the parametric equations of an ellipse, x = a cos(8), y = b sin(0), 0 ≤ 0 ≤ 2π, to find the area…

A: Given that the parametric equation

Q: *Find the general solution of:- dy dx =x√2x + 1 1

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Q: 1. Consider the following vectors and answer the following questions. (6,0,4), = (2,1, -3) (a) (3…

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Q: b) x²-8x+15 2x²-x 1-4x² x²-x-30 X

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Q: We are interested in the first few Taylor Polynomials for the function f(x) = 7e² +6e¹ centered at a…

A: We need to find tylor polynomial.

Q: Find the domain of f(x). f(x)=√x² + 7x + 10

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Q: FOR MULA ERTICAL 1(0,r) OF A STRIP (r₁0) CIRCLE

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Q: Let f" (x) = 6x - sin x. ƒ' (0) = 1, f(0) = 2. Find f(x) ○ x³ O x³ + sin x + 2 ○ x³ – sin x + 2 ○ x³…

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Q: Find the general Solution For D-E y + y tanx = [cos²x]y'

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Q: 6. A particle moving with the velocity function v(t) = t²-3t+2,0 ≤ t ≤ 4. Find (i) the net distance…

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Q: Use synthetic division to divide. Express your answer in the appropriate form. (2x²-x² +6x+9) +(x+1)…

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Q: 15. A hot-air balloon is rising straight up at 5 ft/sec. An observation area is located 80 feet from…

A: Hsnsnsn

Q: mate the average arterial blood pressure over one cardiac cyc

A: We have to find the average blood pressure.

Q: A rectangle has its base on the x−axis and its upper vertices on the parabola y = 9−x^2. Find the…

A: Given that a rectangle has its base on the x−axis and its upper vertices on the parabola To…

Q: 3√2 2 [*** 9-x -x² - y² e Evaluate the integral 0 using cylindrical coordinates. Enter an exact…

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Q: (4) Let f(x, y) = . Find the equation of the tangent line to the level curve f (x, y) = 0 at the…

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Q: Find the general Solution For D-E (xy-4/nx+x² sin x²) dx + x² dy =o

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Q: 2. Show that the series converges by the Alternating Series Test (two conditions). Then find how…

A: The given series is

Q: b) Solve the following rational equation for the indicated variable. Be sure check for extraneous…

A: To solve the following rational equation.

Q: 3. Which of the following statements about the function y = f(x) graphed here are true, and which…

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Q: The graph of a function f is shown below. You can click and drag on the graph to pan the graphing…

A: Given graph of function

Q: (−1)n n²zn n! Consider the series (-1)” n=1

A: ∑n=1∞(−1)nn23nn!Ratio TestL=limn→∞|an+1an|Where an is the nth term of the series.If L<1, the…

Q: Find a power series representation for the function. (Give your power series representation centered…

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Q: Find the amount (future value) of the ordinary annuity. (Round your answer to the nearest cent.)…

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Q: Find the general Solution For D-E x dy dx +y = !

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Q: Consider a system of 3 equations with 3 unknowns. If the augmented matrix has been correctly reduced…

A: Here we have to general results for finding the solution