Find the equation of the plane that is tangent to the sphere X² + y² + Z² 14 at the point (1, 2, 3). =

Q: Given: y' + OA.0 OB. 1 OC. 2 OD. 1/2 OE. None 3 (1-2x)y and y(0) = 1, Find C

A: Given  differential equation:- y'+y3=131-2xy4

Q: Assume that the water coming from the end of a horizontal pipe 25 ft above the ground is parabolic…

A: Assume that the water coming from the end of a horizontal pipe 25 ft above the ground is parabolic…

Q: Given: y' + y = y²(cosx - sinx) and y(0) = 2, Find C O A. 0 B. 1/4 O C. 1/2 OD. 3/4 OE. None

A:

Q: Calculate the derivative à S² √7 + x² dx =

A: NOTE: Refresh your page if you can't see any equations. . break this integration at t=0

Q: Solve the Differential Equations (DE) 3- (x² + y²) dx = 2 x³y dy for y(1) =

A: I am attaching image so that you understand each and every step.

Q: 2 9143

A: To solve for x to the following equation.9x2=0

Q: If f(x)=6+(6/x)+(6/x^2)  find f'(x)

A:

Q: For the pair of functions f(x)=√√4x + 3 and g(x) = 9x-16, perform the indicated operation and find a…

A:

Q: If f(x) = 2x(sin x + cos x), find f'(x) = f'(1) = (do not distribute) (round to 3 decimal

A:

Q: (r)3$2-4 1-= 4

A: Given differential equation:- x4y'=-x3y-cscxy

Q: Let f(x)=√100-2². Use a linear approximation to f at (6,0) to approximate f(6.1). Your answer must…

A: Given function f(x)=100−x2

Q: Use logarithmic differentiation to find the derivative of the given function. = (3x² +7²)² (x−³ −…

A:

Q: A man 5.5 feet tall walks at a rate 3 ft/s directly away from a street light which is 22 feet above…

A:

Q: Solve for z when f(z) = 0 where f(z) = 12z² + 25z + 12. Z=

A: We can find the value of 'z' by solving the quadratic equation in the below steps.

Q: The function Ур is a particular solution to the specified nonhomogeneous equation. Find the unique…

A:

Q: Use implicit differentiation to find the equation of the tangent line to the given equation at the…

A: When the slope is infinte then equation of the tangent line is a vertical line x=a where (a, b) is…

Q: Two stations, located at ?(−5,0) and ?(5,0) (units in kilometers), simultaneously send sound signals…

A:

Q: Explain why, in any set of 11 positive integers, some two integers must have the same I's digit.

A:

Q: Find the limit. lim (1)

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: 3. xcsc()-y|dx + xdy = 0

A: Concept: Any equation with one or more terms and one or more employee derivatives of the dependent…

Q: The edge of a cube was found to be 30 cm with a possible error in measurement of 0.1 cm. Use…

A: We need to find out possible error in volume and surface area.

Q: ne given e

A:

Q: The arc length of one petal of the rose r = sin 30 is given by 1 73 2 S 2/³ TT 1 ·풍 2 S sin2 0+9…

A: We know  Length of arc length in a,b=∫abrθ2+r'θ2dθ

Q: A clown with a spherical head of diameter 25 cm is trying on an oversized conical hat with an angle…

A:

Q: Suppose that f(x, y) = y√³+1 on the domain D = {(x, y) |0 ≤ y ≤ x ≤ 5}. Then the double integral of…

A: NOTE: Refresh your page if you can't see any equations. . from the figure, we can write the limits…

Q: Determined of the following. Do NOT simplify your answers. y = cos (ln(3+sinx)+tanh) 1.

A:

Q: Question Let h(x) = f(g(x)). If g(5) = −3, g'(5) = −4, f(-3) −4, ƒ(−3) = −1, and f'(-3) = -5, find…

A: Let hx=fgxIf g5=-3, g'5=-4, f-3=-1, and, f'-3=-5, then to find h'5.

Q: bax 33. Find the quadratic function f(x) = ax²+bx+c that goes through (2, 0) and has a local maximum…

A:

Q: Given f(x) = 7x² + 4x +9, determine the value of con (-6, 6) guaranteed by the Mean Value Theorem. =…

A: Given query is to find the value of c.

Q: Calculate the derivative t4 d dt et √4 + x² dx ←

A:

Q: Find the area of the part of the paraboloid z=1-x² - y² Show Transcribed Text that lies above the…

A:

Q: Evaluate the following limit. If the answer is positive infinite, type "I"; if negative infinite,…

A:

Q: Question R is the region bounded above by the graph of f(x) = 6e-² and below by the x-axis over the…

A: NOTE: Refresh your page if you can't see any equations. . the given interval is  so the lower and…

Q: Calculate the derivative: (6t4 - 7t) dt =

A: To find the Derivative.

Q: Find volume by revolving the given area about the y-axis using the shell method. Answer in terms of…

A:

Q: Solve y'' + y' 6y = 0, y(0) = 2, y'(0) = y(t) = 21

A: To find solution of differential equation

Q: srit ni bomoheq (2)noitsmotan611 betsoibni sdt 1911s riqsig sdt to noitsupe arit 91W (S noitanut…

A:

Q: The function Ур is a particular solution to the specified nonhomogeneous equation. Find the unique…

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

Q: Question Find the derivative of the function f(x) = ln Select the correct answer below: 3 Xx O f'(x)…

A: The given function is; f(x)= ln[x3(2x+1)/(x2-3)].

Q: Determine the type of DE (select all that applies): 2y (y²-x) dy=dx Linear None of these Exact…

A:

Q: Given y^2+t ^2+(e^2y+2ty)y'=0, and y(1) = 0, Find: C (constant)

A:

Q: Evaluate the integral using the FTC 1: [₁(8x² + 7x5) dx = =

A: Given query is to find the value of the integral.

Q: Solve the following initial-value problem: y'+ (tan x)y=cos²x; y(0) = -1 O y = (sin x) (cos.x - 1) –…

A:

Q: Consider the following. 11.4 (4x-y) dA, where R is the region in the first quadrant enclosed by the…

A:

Q: A bacteria culture initially contains 100 cells and grows at a rate proportional to its size. After…

A:

Q: If f(x) = 7 sin x + 10 cos x, then f'(x) = f'(3) = (round to 3 decimal places)

A:

Q: A box, without a lid, must contain a volume of 1000 cubic centimeters. The box must have a square…

A: This is an optimization problem, we use first derivative to find critical values and second…

Q: Find the following derivatives. Express your answer in terms of the independent variables. Ws and w,…

A:

Q: 20 d0 20 d0

A: We have to choose the correct option from the given options according to the given information

Q: Question Use the method of partial fractions to evaluate the following integral. √ 23 ²2 64 da dx x3…

A: