Find the first derivative of f = (h+2)² (2h+1) h²+3 V using logarithmic differentiation

Q: Solve the given initial-value problem. The DE is homogeneous. xy2 dy = y3 – x³, y(1) = 3

A: A detailed solution is given below.

Q: The toll T charged for driving on a certain stretch of a toll road is $2 except during rush hours…

A: According to the guidelines, we are answering first three subparts. Please repost the remaining.…

Q: Q2/ prove [A] [A] = [I] if [2 4 -5 [A]= 2 7 1 3 4

A:

Q: Find a power series representation for the function. f(x) = x2 tan-1(x3) f(x) = Σ n = 0 Determine…

A:

Q: 2 =(x² - 1)³/²,1 ≤ x ≤ 3

A:

Q: Find the measure of the angle between the planes 3x-4y+z=8 & 5x + y-2z = 6

A:

Q: Find the arc length of the curve x = Length = -2y³/2 from y = 0 to y = 10.

A:

Q: Consider the angle shown below with an initial ray pointing in the 3-o'clock direction that measures…

A: Let's solve.

Q: ¹ ( 7 (x − 3)). Consider the function f(x) = 4sin((x-3) +6. State the amplitude A, period P, and…

A:

Q: - 3)² = 81 then, find its ce or a=<3, -1

A:

Q: Given a > 0, evaluate the following limit: k X lim x-0 a 1x

A:

Q: Solve the differential equation by the method that you think is most convenient.   (y + √(xy)) dx -…

A:

Q: Use the method of cylindrical shells to find the volume generated by rotating the region bounded by…

A: Draw the curve ÷

Q: In x -2 x dx

A: Given: I=∫12lnxx2dx   Apply the integration by parts to solve the given integral. ∫udv=u·v-∫vdu

Q: Use the Product Rule to find the derivative of the function. f(x) = 9ex cos x

A: product rule: (uv)' = u'v+uv'

Q: determine the maximum, minimum or inflection point of f(x)= 6x/x^2 + 3

A:

Q: Use the functions f(x) = x + 4 and g(x) = 2x³ to find g-¹ o f-¹

A:

Q: Consider the right triangle shown below where a = 7.02, b = 11.18, and c = 13.2. Note that and are…

A: Given, a=7.02,b=11.18c=13.2

Q: Use the definition of a Taylor series to find the first four nonzero terms of the series for f(x)…

A:

Q: S. (2w² - 5w+3) dw 4. S. (36+4) ² db 1 v dv S. 6. v² 7. J. ze³z²-1 dz 8. S.2²2 ydy 5. e

A:

Q: NEED ASAP A business sells 2000 units of a product per month at a price of Php500 each. It can sell…

A:

Q: Write out the first four terms of the Maclaurin series of f(x) if f(0) = -9, f'(0) = -9, f"(0) = 2,…

A:

Q: Q4) Find the volume of the region R, that cut from the cylinder x² + y² = 4, by planes: z = 0 and…

A:

Q: Exercise 10. Let g(z) Then there exists an analytic function Ø(z) with Ø(0) + 0 such that: z³…

A: Disclaimer: “Since you have asked multiple questions, we will solve the first question for you. If…

Q: f(-7 sinx + 3cosx)dx 4

A:

Q: problem: A rectangle has a perimeter of 120 meters. What dimensions yield a maximum area? Let the…

A:

Q: y = u√u-1 u = 2x² - 1

A: Given problem:- Find derivative  y=u√(u-1) , u=2x2-1

Q: First find the equation of a plane through the point (4, 2, 1) with normal vector = 3i - 2j+ 4k.…

A:

Q: 80 80 (20) If the graph of the function f(x) is stretched vertically by a factor 2 and then…

A:

Q: Use the angle in the unit circle to find the value of the three trigonometric functions below. 1 2…

A: Topic = Trigonometry

Q: Find the slope of the normal line to curve x=4sint, y=cos2t when t=

A:

Q: Q3 find 1)angle between two vector. 2)projection of vector A&B. A = 2i + 2j - K B = 4i-6j + 4k

A:

Q: Solve each of the following systems of equations. Express the solution in vector form. (a) x+y+2z=4…

A:

Q: (B) Use Tabular integration to evaluate the following: - f(t³-4t² + 5t+ 32)sin(t)dt

A:

Q: 49 - x² Evaluate the integral: dx 8x² (A) Which trig substitution is correct for this integral? x =…

A:

Q: Let f(x) = cos z. Determine the z-value(s) where the function has a maximum or minimum value on [0,…

A:

Q: 7. find the given general differential solution, using homogeneous equations with constant…

A: Put y = emx into the differential equation and find 'm' . General solution : y=c1y1+c2y2

Q: When multiplied out, what are the first 4 terms of (2x+y)¹0? Show your work for full credit.

A:

Q: 2. Let f(x) = 24. Sketch the graph of f(x) on the graph below. Then use the graph to find the…

A:

Q: H.W Find the taylor series of the following functions for the given points:- 1- f(x)= ln x a = 2

A:

Q: Q1: If the function f(x) define as f: R→ R such that f(x)= (x+1, x> 2 x²-1, x≤2 Show that the…

A: To show that function f is differentiable at point x=2

Q: A poster of area 6000 cm² has blank margins of 10 cm wide on the top and bottom and 6 cm wide on the…

A:

Q: Find the tangential and normal components of the acceleration vector. r(t) = 4(3tt³)i + 12t²j at X…

A:

Q: to evaluate the following: f(t³-4t² + 5t+ 32) sin(t)dt (B) Use Tabular integration

A: Given integral is :

Q: Solve the given differential equation by using separable variables. 2. dy y-1 = dx x + 3

A: We will solve the given differetial equation using separation of variables.

Q: The arc length of 元 y=ln(cos x), 0<x<= is 3 the curve

A:

Q: = 0.3t centimeters per minute 2. The depth of the water in a tank is changing at a rate of r(t) O,…

A:

Q: Determine whether the given function is even, or odd, or neither. One period is defined for the…

A: Odd function        f(x) = -f(x)     for all xEven function        f(x) = f(x)     for all xIf…

Q: Calculate the arc length of y = 9x + 1 as x varies from 0 to 5. S -

A:

Q: 1/0 1,0 -3 -6 Note: Enter 'DNE' if the limit does not exist or is not defined. I

A: \