(x-3)² 1) 6-4)² =D1 16 196 (x+ 1)² ¸ (y – 8)² 3) 9. =D1 %3D 81

Q: Let u = 7i- 3j, v= i-j, and w= i+j. Find scalars a and b such that u = av + bw. a = b=

A: We will find a and b

Q: Use implicit differentiation to find the point in the first quadrant on the ellipse 8x2 + 4y? slope…

A: Question- Use implicit differentiation to find the point in the first quadrant on the ellipse 8x² +…

Q: Use Shell Method to find the volume of the solids of revolution described in each item. Find the…

A:

Q: 9. (2xy – sec?x)dx + (x² + 2y)dy = 0 10. (x + 3x³ sin y)dx + (x* cos y)dy = 0

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Q: olve the triangle. 95 a-6 b- 4 Select the correct choice below and, if necessary, fill in the answer…

A: Here is the solution

Q: he velocity vector? Di+O i+O k

A: Topic:- application of derivatives

Q: Use implicit differentiation to find the slope of the tangent line to the curve x3 + 9 2y - 10 at…

A: Topic:- application of derivatives

Q: Find the area of the region that is enclosed between y = 6x² – 2³ + ¤ and y = z² + 5z. The area is

A:

Q: Find the volume of the solid whose base is the region in the first quadrant bounded by y = x°, y =…

A: Here we have to find the volume.

Q: Find the limit 1-ex lim x+0 10x2 – 18x

A: Here we have to use the concept of limit.

Q: 1. An airplane is flying towards a radar station at a constant height of 6 km above the ground. If…

A: Let us assume that radar station to be at ground level. Then representation of plane and radar can…

Q: Problem 11 Explain what it means that F(x) = x7 is an antiderivative of the function f(x) = 7x6.…

A: Solved below.

Q: 3) Explain why the Cartesian equation 2x– 5y+ 3z = 2 does not describe the plane with normal vector…

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Q: Solving bernoulli differential equatioA 27 Xp 2X 2Y

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Q: Problem 8 Find the critical numbers and the open intervals where the function f(r) = %3D r³ – 3x + 4…

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Q: du Identify u and dx for the integral /u( dx. | (8 - 5x?)*(-10x) dx u = du dx

A:

Q: Find, by slicing, the volume of a cone whose height is 5 cm and whose base radius is 1 cm. Slice the…

A: The slicing cone has height 5 cm and radius 1 cm

Q: Suppose that f(z, y) – e ¯4r² - 4y² - z + 2y Then the maximum is

A: The given function is: f(x,y)=e-4x2-4y2-x+2y Here,…

Q: f (x) = x³ + 4xª + 3x³ – x² + & 1. ,2 -

A: Since we are given with the multiple number of question and our guideline is solve first question…

Q: Use the method of substitution to find the indefinite integral. Check your result by…

A:

Q: 1. Disk Method a. y = x2,x = 0, x = 2, y = 0, about the x ахis а.

A:

Q: Use your calculator to find the area shown in RED. 8 f(x) = sec(.5x+2) + 2 tan(.5x + 2) +3 Round the…

A: The region is bounded by the curve,fx=sec.5x+2+2tan.5x+2+3 from x=0 to x=5

Q: Solving berneulli differential equation dy Xp

A:

Q: Use the properties of limits to help decide whether the limit exists. If the limit exists, find its…

A:

Q: For each function, determine the long run behavior x2 + 1 has Select an answer x2 + 2 x3 + 1 has…

A:

Q: 1. Determine the exact value(s) of k for which the planes x– 2y + kz + 7= 0 and x– 2y – 2 = 0 have…

A: Note: According to our answering guidelines we have to answer only one question if multiple…

Q: x - 2x +4x–8 Draw a graph of the function R(x) = Justify all major features using limits. x -11x+18

A: To solve the following problem

Q: Find the equation for the horizontal asymptote of the graph of the function. (If an answer does not…

A:

Q: 12 Consider the graph of the ellipse. which is drawn to scale. This ellipse has an eccentricity of…

A: Given query is to find the equation of the ellipse.

Q: Using the fundamental theorem of calculus, find the area of the regions bounded by y= 5-x^2 and the…

A:

Q: Let f(z) then for all real number the power representation of f is Select one: O True O False

A: Recall : 11−x=∑n=0∞xn=1+x+x2+x3+…

Q: The equation r(t) = (3t + 5) i+ (4t - 5) j+(4t) k is the position of a particle in space at time t.…

A:

Q: 4. Find the Linearization of f (x) = sinx at a 5. Provide your answer as L(x) =? %3D

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Q: Given the function f(x) = -xr* – 4x determine its critical points and classify them, determine the…

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Q: 3n². {(-1y"-1, 4n2 - 1 n-1

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Q: 20. Find f2x/(5x-3)dx

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Q: Given f'(x)=-+e²2* +x² and_f (1) = +x*and f(1)=. Find f(x) 5.

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Q: divide f(x) and d(x), and write a summary statement in polynomial form and fraction form:…

A:

Q: a. For the following function, find f'(a). b. Determine an equation of the line tangent to the graph…

A: Given:   f(x) = 7x+1    ,  a = 5

Q: dy without first solving for y. dx Use implicit differentiation to find - 28x4 + 10x2y + y* = 8 dy…

A: The given function,    -28x4+10x28y+y4=8

Q: Determine if there are zero, one, or two triangles for the following: m ZA = 48° 1 = 10 m 3 = 12 m

A:

Q: Find the curve's unit tangent vector. Also, find the length of the indicated portion of t r(t) =…

A: Topic:- application of derivatives

Q: Using the fundamental theorem of calculus, find the area of the regions bounded by y=8-x, x=0, x=6,…

A:

Q: x +729 lim x+9 X-9

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Q: b). Using gamma function, evaluate Sx6 e-2x dx

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Q: Find the limit. Answer in either fraction or integer form. NO DECIMAL APPROXIMATIONS. f the limit…

A: Given query is to find the limit nof the expression.

Q: Problem 9 Compute the derivatives of: (a) f(x)= e6z²+3z (b) g(x) = r°e² (c) h(x) = In(3r“ + 2x)

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Q: dx (9 – 4.x²)³/2 2,3/2

A: Use substitutions to make it more simple

Q: A moon is in orbit around a planet. The moon's orbit has a semimajor axis of 3.5×10° m and has an…

A:

Q: Find the velocity and acceleration vectors in terms of u, and ug- r=5 sint and 0= 5t = (5 cost) u, +…

A: