Use implicit differentiation to find the equation of the line which is tangent to the curve 2xy + 3x²5x = 4 at the point (-1, 2). Show all work toward your answer.

Q: Write an equation of the form y = a sin bx or y= a cos bx to describe the graph below. Ty 0 1 nin 1…

A:

Q: (b) D₂f = 2 cos(xy + 2z) Dzzf = -4 sin(xy + 2z) Dzzyf = -4x cos(xy + 2z)

A:

Q: Find the curvature of the curve r(t) = (3 cos (4t), 3 sin(4t), 4t) at the point t 0 Give your answer…

A:

Q: 2. y=(2 tan² 20-1/²

A: To find derivative of given function.

Q: 1. y = 3x? – 2x4 - 3x3 + − − 2x + 1; y(4) - 8

A:

Q: ANSWER

A:

Q: the distance from the point (5,3) to the line 2x+4y+5=0 is

A: solution

Q: 3. For the double integral [['sin(y) dydz I (a) Sketch the region of integration. (b) Change the…

A: Given; I=∫01∫x1siny2dydx   As we know that; ∫sinxdx=-cosx+C

Q: The f sin x cos x dx is not equal to {A} -cos 2x + C {B} sin²x + C {C}-{cos²x + C {D} sin 2x + C

A: A detailed solution is given below

Q: 8. Use the method of Lagrange multipliers to find the maximum value of the function f(x, y) = xy…

A:

Q: Find an equation in rectangular coordinates for the surface represented by the spherical equation. 프…

A:

Q: Evaluate: sec²(4t) [3-tan(4t)]³ dt a.-16 [3-tan(4t)] + C b. | [3 –tan(4t)] + C 4 OC. 1 [3-tan(4t)]…

A: integration

Q: x²-3x - 7 √(x² + x + 2) (2x - 1) dx

A:

Q: INSTRUCTION: Prove or disprove 1. 3x-5 = is bijective. 2x+1 Show that f: R-{-}→R-{} defined by f(x):

A:

Q: 4. Use mathematical induction to prove the truth of each of the following assertions for all n ≥ 1.…

A:

Q: Question 5 Find the derivative [f(x)]; f (x) = 3 ln (In (x²-3x + 5)²). O3(2x-3) ²-3x+5 3(2x-3)…

A:

Q: -. y ln x − x ln y = 4, y'

A: Given query is the derivative of the expression.

Q: 0 3. Evaluate the definite integrals: (a) CS Scanned with CamScanner² (x² – 3x) dx (b) 5 1 √I -d.x

A:

Q: Evaluate the following: 1) f sin x sin(cos x) dx

A: Integration

Q: 1 - √xdx

A:

Q: Write the conjugate of √a +3

A:

Q: Evaluate the integral order of integration. NOTE: Enter the exact answer. I fe e² dx dy= = e² dx dy…

A: Given:         ∫06∫y23ex2dxdy  Reversing the order of integration.       y2≤x≤3    y≤2x≤6…

Q: Determine whether the improper integral diverges or converges. 4 00 1.00 cos(7x) dx 10 O converges…

A:

Q: * Find the derivative lic F (+) = (+³-2+ +1) (2+²

A: Given query is to find the derivative of the expression.

Q: Using Variable Separable, solve x² (y + 1) dx + y² ( x − 1) dy = 0

A:

Q: y Given: xe² + In(x - y) = . Find dy/dx. dy 2x(x-y)-x¹+x -w) (20

A:

Q: 9. f(-5) = (5)²-19 = 25 -19 -6 b. lim x²-19 X→-5 = (-5)² -19 = 25-19 = 6 с C f(-5) = lim f(x) X-7-5…

A: Solution is given below:

Q: 17. Applying the quotient rule, what is the correct FIRST STEP in finding the derivative of the…

A:

Q: 4 1. y = cost-sin ¹ t 2. y = (2 tan² 20-1)/²

A: Given : 1) y= cos4t-sin4t2) y=2tan22θ-112   To Find : Derivative of the given functions.

Q: B. Assume that f(x) dx = 3 and g(x) dx = -2, find the following: 26. [f(x) + g(x)]dx = 27. [2f (x) -…

A: Part B,Given,            ∫13fxdx=3 and ∫13gxdx=-2

Q: For the function whose graph is shown, list the following quantities in increasing order, from…

A:

Q: c. lim f(x) X→-2+ d. lim f(x) X-0

A:

Q: 6. What is the integral that describes the enclosed region between y = 4x - x² and the x - axis ? A.…

A: Given problem:-

Q: 2 The √tan x secxdx is {A} tan³/2x-tan7/2x + C {B} tan³/2x + ² tan7/2x + C {C} tan5/²x + tan7/²x + C…

A:

Q: c. y = 4e (3x²-x) C.

A:

Q: Consider a triangle ABC like the one below. Suppose that b=58, c=34, and B= 108°. (The figure is not…

A:

Q: 1. True or False: Click A if the statement is True, otherwise click B (False). 1. All continuous…

A:

Q: Find an equation for the line tangent to the curve at the point defined by the given value of t.…

A:

Q: Part 2: Exponential Growth and Decay and Logistic Growth Model (3) Suppose an experiment was…

A:

Q: COS X 6. y = x What is the appropriate formula? dx Solution:

A: Given query is to find the derivative of the expression.

Q: Find the amount of money that accumulates when a one-time lump-sum investment of P = $50, 000 is…

A:

Q: Determine a²z a²z + Ər² მ02 if_z = tan -1 Ө r + r r²+0²

A:

Q: Set up integrals for both orders of integration. Use the more convenient order to evaluate the…

A:

Q: a²z a²z Determine + Ər² მ02 if_z = tan-¹ Ө - r + r r²+0²

A:

Q: 1. A man on a wharf, whose hand is 8.2 m above the level of the water surface is pulling a rope tied…

A: Given;  Rope length =20m Height =8.2m

Q: The f2e4t sec2e4t dt is {A} = = tan e 4t + C {B} = sec³e4t + C 16 {C} /e4t tan e4t + C {D} et…

A:

Q: 8. For the enclosed regions bounded by y = x² - 6x and y = -2x in the graph, what is the integral…

A: Given   From the graph intersection point

Q: Determine an and as for each arithmetic sequence. See Examples 3 and 4. 23. 5, 7, 9,... 24. -3, -7,…

A:

Q: Find the differential equation of the family of circles of fixed radius r with center on the x-axis.

A:

Q: The f cos 5x cos x dx is 1 {A} = sin 4x - 12 1 1 {B} sin 4x + - 8 12 cos 6x + C cos 6x + C {C} {D}…

A: Given problem:-