Q9. Find the equation of the tangent plane to f(x, y) = x In(y) + x²y+3 at the point (x, y) = (2, 1). A. z = 2.x + 2y – 2 В. 2 %3D 4а + 2у — 4 C. z = 12x + 10y – 24 D. z = 12x + 10y – 25 E. z = 4x + 6y – 7 F. z = 3x + 2y – 1

Q: Consider the parabola - 2.x? + 20x – 4y – 62 = 0 O What is the vertex of this parabola? (r, y) What…

A: The given parabola is:…

Q: Two linearly independent solutions of the differential equation y" + 2y' + 4y = 0 are Select one: O…

A: We have to find linearly independent solution of given differential equation.

Q: dy Suppose ax 3 and y( ) = 2. 1+9x2 3 T What is y( 4 )? Оп O 2.261 O 2 IT 4

A: See below the answer and calculation

Q: Question 8 of 10 v(x) = 4 cos(sin(3x)) Select the correct response: - 12 sin(3.r) cos²(3x) cos²(3.r)…

A: We have to find derivative of given function.

Q: n(x) = csc²(;2) Select the correct response: 1 1 CSC + cot(5) - 1 sec"(5e) tan(-e) csc²(-x) cot(r) 2…

A: We have to find the derivative of the above equation.

Q: In Exercises 1-4, solve the given initial-value problem. (For Exercise 3, you may "complexify" the…

A:

Q: Solve the boundary value problem y" – 10y + 25y = 0, y(0) = 3, y(2) = -2. || %3D

A:

Q: Find the graph of the equation 4x 2 + y 2 = 4.

A:

Q: What is the length of a highlighter marker is it centimeters or meters

A:

Q: IV. Problem Solving: A. Write the expression as a single Integral. Choose your answer from the box.…

A:

Q: 3. Using the graphs of the functions f and g below, determine the following. If infinite, specify ∞…

A:

Q: Determine whether the statement is true or false. If g(x) = f(x)sin x, then g'(0) = f(0). O True O…

A:

Q: Given that y = 3e is a solution of the differential equation %3D y" + 3y' = 0. Then, by using…

A: Follow next step

Q: 6x + 10 if a -2 4. first third second

A: Explanation of the answer is as follows

Q: Police use the formula: v = /20L to estimate the speed of a car, v, in miles per hour, based on the…

A:

Q: The volume V of a right circular cone of radius r and height h is given by V =r?h. %3D (a) Find a…

A: Given the volume V of a right circular cone of radius r and height h is V=13πr2h.

Q: Select the expression that is equal to 10P7

A:

Q: 2.x4 h(x) = 5x³ + 6 .

A:

Q: 9 Find the length of the major axis of the equation x 2 + 4y 2 = 4. 8 2 4

A: Standard equation of ellipse is x-h2a2+y-k2b2=1 with major axis is the horizontal axis.And length of…

Q: 4. Use limits to determine the values of a and b that guarantee the function below is continuous.…

A:

Q: Consider the function y= ¿x³ – a. Sketch the graph of y= -x³ - 9x + 4. b. Find and describe the…

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: 3. Supply the missing integrand and limits of integration. 61y drdy fip (b) 62y dydz =- dr

A: Solve it.

Q: 3. LetR be the region shown in the accompanying figure. Fill in the missing limits of integration.…

A: Given problem:-

Q: Consider the ellipse 64a2 + 289y + 384x + 1156y – 16764 = 0 What are the foci of the ellipse? Enter…

A:

Q: Question- Let R be the region bounded by x= y - 25, and x= 1. Then draw the region a evaluate the…

A:

Q: d d Calculate ri(t) · r2(t)] and [ri(t) × r2(t)] first by differentiating dt dt the product directly…

A:

Q: Some type of phenomenon occurs at x=0 for the function f(x)=cos x-x^2 sinx, f(0) is a(n) A. maximum…

A: Given the function is f(x) = cos x - x2 sin x

Q: Write the radius of the circle x 2 + y 2 + 5x - 4y = 0. √(29) √(41) √(41)/2

A:

Q: Evaluate S(5 – 3x) dx using geometry. | 1 3.

A:

Q: Question 8 of 10 v(x) = 4 cos(sin(3x)) Select the correct response: –12 sin(3x) cos²(3x) -12 cos(3x)…

A:

Q: Question Use the third Maclaurin polynomial for f(x) = e" to estimate e. Round your answer to four…

A:

Q: 3 y = sin?x? ; find dy 13D Xp

A: We will use simple differentiation rules to solve this question.

Q: The best method for finding the antiderivative of / V5 – x²dxis | integration by parts algebraic…

A:

Q: Question- Let R be the region bounded by x= y - 25, and x 1. Then draw the region and. evaluate the…

A:

Q: Fill in the Venn Diagram below by dragging the appropriate entry to the orrect location given that:…

A: Explanation of the answer is as follows

Q: REPEAT

A:

Q: 1. Let f(r, y) Find: %3D I+y+1 (a) f(2, 1) (b) f(1,2) (c) f(a, a)

A:

Q: Find the curvature and the radius of curvature at the point t = 0. x = e' cos(t), y = e° sin(t), K =…

A: Let's find.

Q: Question 5 of 10 r(x) = cot2(3x2 + 1) Select the correct response -6x2 csc(3.r2 + 1) cot (3.x + 1)…

A:

Q: x2 - 4ху- 2у2-2 %3D0 4xy to

A:

Q: At which r-value(s) does the function f(x) = x³ – 3x² – 9z +4 have a local maximum? (A) 0 -1 and 3…

A: Given,  f(x)=x3-3x2-9x+4

Q: Question 7 A cable of length L is cut into 2 pieces. One piece of the cable is used to form a square…

A:

Q: 9. Find the equation of the tangent plane to f(x, y) = x In(y) + x²y+3 at the point (x, y) = (2, 1).…

A: We have to find the equation of the tangent.

Q: Using "Numerical Differentiation (Backward Finite Difference)" Problem Solving f(x) = 2cos (3x-2)…

A:

Q: V

A: Follow the procedure given below.

Q: Find y' given xe*y – x sin- y = In(xy).

A: Given,            xexy-xsin-1y=lnxyTo find : y'

Q: d/dx integral from e to x^3 ln(t^2+1)?

A: If Fx=∫b(x)axf(t)dtthen dFxdx=ddx∫b(x)axf(t)dt=faxa'x-fbxb'x

Q: (Drag and drop the missing words) is the of a definite integral as an endpoint of the interval of…

A: Answer is in below step.

Q: 2. What is the area of the circle if the diameter is 48 m? 3. The wheel of the car has a radius of…

A:

Q: 4+x a) lim- 1+(3+ x)

A: