What is the equation of the given ellipse? Y (-3, 2) (-1,-1.5) X

Q: Given the vectors v=3i - 2j+5k and w=-i +4j+2k, find the following: a) 2v-w= b) V•W= ||w|| = c) 12 =…

A: v→=3i-2j+5k and w→=-i+4j+2k

Q: Using an appropriate substitution | tan³x sec7xdx is equal to

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Q: 1- y = x-1 2- y = √x 3-y=4-x²

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Q: • Jeze 39. et dt e²t + 3e¹ + 2

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Q: Evaluate the double integral over the given region R. S xy cos y dA Sfxy |xy cos y dA= R: -1≤x≤1,…

A: NOTE: Refresh your page if you can't see any equations. . the given integration is  the limits of x…

Q: Given the graph which consists of lines and a semicircle determine ₂ f(x) dx (4,2) 2 3 4 5 -1 -1…

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Q: z (hx) = h + k

A: y'+y=(xy)2

Q: Find the derivative of the function at Po in the direction of A. f(x,y,z)=3 ex cos (yz), Po(0,0,0),…

A: Solution: f(x,y,z) =3exCos(yz) P0=(0,0,0)

Q: The area of a square with side s is A(s) s². What is the = rate of change of the area of a square…

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Q: 3- dy + 3x^²y = x³6 s dx Y- XLnx dy dy +y = ₂l₁x dx 2Lnx ets

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Q: f sinh3³ x dx Ocosh³z-coshz+C O3 cosh³r+C 3 Ocosh³z + cosh 2+ C Ocosh³ +C O None of the choices

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Q: Q3: A. By power series, prove that: d 4 sinhx dx coshx

A: Explanation of the answer is as follows

Q: Compute. 13 2) Σ k

A: Given, ∑k=113k2

Q: An object is placed outside on a cold day at time t = 0 minutes.  The temperature of the object T(t)…

A: Given, An object is placed outside on a cold day at time t = 0 minutes.  The temperature of the…

Q: Step 1 of 2: Determine the intervals on which the function is concave upward and concave downward.…

A: We need to determine interval of concavity.

Q: Which of the following statements is correct to find the volume generated by revolving about x=0,…

A: using shell method formula of area A = 2πy∫abf(y)dy here a = 0 b = 2 A = 2πy∫02 (8-y3)dy so here…

Q: B. For the figure shown below, find the sum of the areas of all the semicircles. 244

A: Using formula of area of circle

Q: In problems 5 and 6 find the particular solutions of the given differential equations. d²y dy +9y =…

A: To find the solution of the given differential equation.

Q: 6. Find the area bounded by the curve y = log x, the x-axis, and the line x = 2.

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Q: 3. Find the interval on which the curve of y= 2 1+3t+t² dt is concave up.

A: Second derivative is positive.

Q: the sum if convergent. 4) 2-6+18-54...

A: In this question, we will evaluate this series and test for convergence.

Q: Compute the volume of the solid that results when the region enclosed by the curves is revolved…

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Q: State what the dot product of two non-zero perpendicular vectors is. Justify your response.

A: We have to find the dot product

Q: Given the function f(x) graphed above, find f^-1 (5)

A: NOTE: Refresh your page if you can't see any equations. . as we can see from the graph, the point…

Q: Find the area bounded by y y = 2x, y=0 and x = 3. X Using vertical element, what is the integral…

A: The given curves are; y=8x, y=2x, y=0 and x=3. Now find the point of intersection between the curve…

Q: valuate the integ

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Q: Find Hence evaluate d dr 1 Š S ₁ (1 +2²2)³/26 0 -1 1+x², dx.

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Q: To determine the area of the region bounded by y=x2 + 1 bounded by x=2, x= 1, y = 0, use a…

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Q: 2. Below is a graph of the exponential function f(x)=2¹. 10- 9. -10-9-8 10 +6 a. Describe in words…

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Q: Find where the curves intersect, draw a sketch of the region (label it completely), and compute the…

A: This question can be solved using area bounded by curves.

Q: Determine the angle, to the nearest degree, between the vectors= (4,6,-2) and y = (1,8,2)

A: Solution is done in step 2

Q: The radius of a sphere is increasing at a rate of 4 meters per minute. When the radius is 11 meters,…

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Q: A street light is at the top of a 13 ft tall pole. A woman 6 ft tall walks away from the pole with a…

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Q: Find the exact coordinates of the centroid for the region bounded by the curves y = 4-2² and y = 0.…

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Q: Find f(x) by solving the initial value problem. 5 f'(x) = 2x + 5ex + —; X f(x) = f(1) = 6 + 5e

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Q: Find the volume of the region bounded above by the paraboloid z = x² + 2y² and below by the square…

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Q: Convert x = = ln(2t) and y = 1² from parametric to rectangular form. 2

A: Given,  x=ln(2t) and y=12t2

Q: Sketch the region bounded by the given lines. Then express the region's area as an iterated double…

A: Topic = Area

Q: Find the volume of the region bounded above by the plane f(x,y) = 2x + 5y + 6 and below by the…

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Q: log3 = X-1 3 √3-2x

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Q: 1- (x²1) + dy 2xy = 1 ty Cosx Ex Sinh 2- Sin(x) dy dx 3- - dy dx + 3x²y = x²x³ + 4- xlnx dy dy +y =…

A: Since you have asked multiple questions,we will solve the first question for you . If you want any…

Q: The graph shows the parabola c(z) = 7-², together with a shaded region. 94 -2 -1 3 + -2 Set up the…

A: The given equation of the parabola is: cx=7-x2 Now find the x-intercept of the given parabola.…

Q: Find the volume generated by revolving about the line x=0 the area under the arch of the sine curvey…

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Q: At what rate is the vertex angle of a right circular cone changing when the radius is 3 ft and the…

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Q: Q1: Answer the following matrices: 1 2 3 456 789, . [.. + 3 2 1 654 9 8 7, b)

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Q: A toy ball is thrown into the air from the top of some bleachers which are 5 feet above the ground.…

A: Given    h(1) which means after 1 sec height of ball will be 13 feet

Q: 8 = sin² shown in = Which of the following expressions gives the total area enclosed by the polar…

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Q: 4. Find 3x 2t dx/e²t dt

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Q: Find the area bounded by the curve y = 4+2x+z² and x-axis from z=-3 to z = -1. Area of the region -

A: y = 4 +2x + x2 A =∫-3-1f(x)dx A = ∫-3-1 4 +2x + x2dx A = [4x +x2 +x3/3]-3-1 A = (-4 +1 -1/3) - (-12…

Q: LAW OF GROWTH AND DECAY A bacteria culture increased 800% in 1 year. How long (in months) will it…

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