I. Find the equations of the horizontal and vertical Tangents. x3 + 3x? – y? = 0

Q: Select all that apply. For the quadrant in which the following point is located, determine which of…

A: Given query is to find function , which are positive for the point.

Q: Find the conservative vector field for the potential function by finding its gradient. f(x, y, z) =…

A: Given : f(x,y,z)=9x2y+5z2   To Find : Conservative Vector field by finding it's gradient

Q: +1 and y=-x+1 AND find the area.

A:

Q: Eliminate the arbitrary constant on the given equation: y= G1r + C2e O (2? 22) y"+ (2 + 2) y- (2 2)…

A: The given equation is y=C1x2+C2e-x. We have to eliminate the arbitrary constant C1, C2.…

Q: Find the angle of the largest right circular cone which can be inscribed in a sphere of radius 9…

A:

Q: Given: a = 22, c= 24.1, zB = 6T C a A Solve the triangle. (Do not round until the final answer.…

A:

Q: If f(x) = 4,/¤In(x), find f'(æ). %3D Find f'(2). Submit Question

A: Given

Q: 3 y = Vx and y = x³

A: We have to find the area by using definite integral

Q: is ' (3n– 1)? n=1

A:

Q: Convert the Cartesian equation x² + y² -2x= 0 to a polar equation. x2 + y2 -2x 0= O 2=-2 cos e Or= 2…

A: Given artesian equation,x2+y2-2x=0Put…

Q: If Ax) = Vx -1 and g(x) = x+ 1, which expression is equal to fAg(x))? 1+ー1 Wx²+2x (x + 1) - 1 ベズ+x-1

A: Solution:

Q: n²2" n=1 a) Show that the series is convergent

A:

Q: Complete the equation. V-14x ). arccos X- 7 = arctan 7 <x < 14 7

A:

Q: Find and b such that the following function is continuous at x=( [x] – 2a x 0 -

A: To find the values of a and b

Q: L,x²(x³ + 8)²dx 19. Use the Fundamental Theorem of Calculus to evaluate:

A:

Q: 1) Use the Integral Test to determine whether the series 1 is convergent or divergent. (Зп — 1)? c)…

A: The given series ∑n=1∞1(3n-1)2

Q: P3: tan 3x sec 3x dx

A:

Q: Q3: Find gradient of the following function at given point 1) f(x, y) = y –x, (2,1) 2) g(x, y) = y –…

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Q: etermine whether f is continuous at c= 0. - 3x if x #0 f(x) 2 x* + 3x %3D if x = 0 f continuous at…

A: Topic:- function

Q: provide a step by step solution to the following bernoulli equation (y⁴ - 2xy)dx + 3x²dy = 0 ; when…

A: Let's find.

Q: Find the divergence of the vector field F. F(x, y, z) = In(9x2+ 6y² )i + 54xyj + In (6y? + 5z?)«…

A: To find the divergence of given vector field

Q: Given the series E n10 Which one of the following gives lim n=1(-10)+1 Select one: 3 10 1 None of…

A:

Q: Q5: Find equations for (a) the tangent plane and (b) normal line at the point P, on the given…

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Q: 1) Use the Integral Test to determine whether the series > 1 is convergent or divergent. n=1 (3n–…

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Q: x" Find radius and Σ Va3" 9. convergence and interval for this series n=1 n

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Q: X- Consider the function f(x) = x2 -1 Please explain all steps (a) Find the intercepts of the graph…

A: This is a problem related to function. Based on the general formula and concepts we will answer the…

Q: 1. Find the smallest distance from the point (0, c, 0) to the surface y = x² + z².

A: Explanation of the answer is as follows

Q: ind all the relative extrema and saddle points, if any, of the given function below: f (x, y) = ln(x…

A: Relative extrema and saddle points: Consider the function f(x,y)For critical points , fx(x,y) = 0…

Q: Find the volume of the solid generated by revolving the area bounded by the given curves about the…

A: Explanation of the answer is as follows

Q: y= Arccos(e2x)

A:

Q: re' dy + +1 dr =0 O (y – 1) e + + In z = C 2. O-(y+1) e + Ine =C 2 O (1- y) e + 1. O 2y - e + +In=C

A: To solve given differential equation

Q: Q2. An object is kept at a distance of 20 cm from a concave mirror. A real mage is formed at 20 cm…

A: Topic:- algebra

Q: 1. Calculate the area of the graph enclosed by the curve y = sec(2x)tan (2x), the x-axis, and the…

A:

Q: (2x2 + x -3) * (x + 1) a = [21-3]; b = [1 1]; find conv (a, b)

A: Given :2x2+x-3*x+1

Q: Please

A:

Q: In Exercises 1 through 4, find the area of the shaded region. 1. y= Vx

A: Area

Q: y y = x² + 1 5. y = x 2.

A:

Q: 6. Which of the following integrals cannot be evaluated using integration by parts? A. ſe-*sin2x dx…

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Q: Find the surface area of the plane ( 15x- 5z+20y=35) if it is in the first octant

A: Here we have to find the surface area of a plane.

Q: 2x2-3x+2 Ex(2) Let f(x) , x + 2. Find Lim f (x) x-2 x-2 Solution

A: Topic:- limits

Q: -3 -8- -

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Q: In(x®y®) = x² +y³

A:

Q: For the differential equation (x? – 9)y" + (x – 3)y' + 2y = 0, a regular singular %3D point is: X=9…

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Q: Solve the equation xy^3 dx + (y + 1)e^(-x) dy = 0.

A:

Q: Choose the values that are in the range of y= arccot x Select all that apply. NEXT QUESTION O ASK…

A: Given query is to find the values which are in the range of the function.

Q: EXERCISES Solve the following differential cquations 9. y(x*y + e*)dx e*dy = 0 x ex Ans. =C

A:

Q: Use the Divergence Theorem to find the flux of F(x, y, z) = (x³ – e")i+ (y³ + sin z)j+ (2³ – æy)k 3…

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Q: Determine whether F(x, y) = 2x²yi+ 8xy j is a conservative vector field. If so, find a potential…

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Q: Assume x and y are functions of t. Evaluate dx = 9, x = 3, y = 0. for 4xe = 12 - In 729 + 6ln x,…

A: Given query is to find indicated derivative.

Q: If f(x) = 4 Tln(x), find f'(x). %3D Find f'(2). Submit Question

A: Differentiation