direction:  find the derviative  (10)  y=in(x^2 +4)-1/2  arctan x/2

Q: Solve (x5 + 3y) dx - xdy = 0. O 2y = x^5 + cx^3 O 2y = -x^5 + cx^3 O 2x = y^5 + cx^3 O 2x = -y^5 +…

A:

Q: y (3x² + y²) dx + x(x² + 3y²) dy = 0

A:

Q: Find the derivative of the following functions. Whenever possible, express answer in factored form.…

A: y=3x5-4x3-5x2

Q: 4 4 DA. [(4-y) dy + f(y) 0 0 D 2 4 B. [(y) dy + f(4-y) dy 0 2 Oc. (y) dy 2 4 (4-y) dy+ (y) dy So 2 0…

A: Given,

Q: Find the first partial derivatives of the function w = 5zexyz. 1. 2. 3. дw дх дw ду дw дz 5xzyz .…

A:

Q: If z = (x + y)ey and x = 7t and y = 1- t², find the following derivative using the chain rule. Enter…

A: Here we have to find the derivative.

Q: Find a. b. C. d. e. f. g. lim x-3 lim x0 lim x → 0+ lim x10 lim x2 f(x) h. f(2) f (x) f (x) f (x)…

A: We need to evaluate the following limit for the given graph of the function a. limx→-3fxb.…

Q: Evaluate the following integrals 16 ³√/1+√√/x dx √x a) 16 b) S dx x+Vxn-m where m and n are natural…

A:

Q: If z = (x + y)e", y = 5 - t², find dz/dt using the chain rule. Assume the variables are restricted…

A:

Q: dy Find when y = a dx (a) (b) (c) (d) 2bx x4 + b² Arctan Arctan(2) 2bx ln a _ Arctan x4 + b² x In a…

A: Given y=aArctanbx2

Q: Is it true that a continuous function that is never zero on an interval never changes sign on that…

A: Yes, By the intermediate value theorem , if a function changed sign, its value was zero at some…

Q: In you the mail, you receive a coupon for $5 off of a pair of jeans. When you arrive at the store,…

A:

Q: Solve for the unknown/s. 1. A particle moves horizontally according to the laws the laws--12r+1.…

A: Topic:- application of derivatives   Note:- as per our guideline if more than one question uploaded…

Q: b) lim 818 c) lim 818 2x³-3x+1 3x4+7x³-2x-1 sin (x+3) X

A:

Q: Given the point in polar coordinates 3.7, Part: 0/2 Part 1 of 2 find two other polar coordinate…

A:

Q: 4. y= 4-9x 4+9x

A:

Q: Use the graphs of f and g to answer the following about h(x) = f(2g(x) + 1) -2 -1 y 6 5 4 3 2 1 -2 1…

A: Given hx=f2gx+1

Q: An aquarium 7 m long, 5 m wide, and 3 m deep is full of water The hydrostatic pressure on the bottom…

A:

Q: The graphs of y = f(x) and y = g(x) are shown below. If g(x) = af (b(x − h)) + k determine he values…

A: The graphs of y=fx and y=gx has been shown above.Given that,  gx=afbx-h+k, we need to determine the…

Q: Directions: Consider the following function f(x). Part 1 - Difference Quotient If h = 0, then the…

A:

Q: Problem 8. (a) [ eª sin (x) (b) / (20 √(x+3 (c) [* (In (x))² dx (x+3) ln (x) dx Calculate each of…

A: Since you have posted multiple questions, as per guidelines we are supposed to solve first question…

Q: Solve the right triangle for the unknown sides and angles. Round values to 1 decimal place if…

A:

Q: Calculate f(x) si x = 2 f(x) = 32x-1 + 4* - 1 HTT

A:

Q: 1. f(x) = x7.² + 2x². - x−5+4x − 1 2. g(x) = 5e* — x² + e 3. u = √√√√³+√t + t -

A:

Q: Find the derivative of the following functions. Whenever possible, express answer in factored form.…

A:

Q: 7. y = √√2x² - 4x +3

A:

Q: Find the derivative of the following functions. Whenever possible, express answer in factored 3.…

A: y=(x^3-6x)(2-4x^3) apply product rule y=uv dydx=udvdx+vdudx

Q: UPVOTE

A:

Q: 7μ Match the point in polar coordinates -2, 4 OA (2.) OB (2, 3) oc(2.- OD(-2,7 X $ to the points A,…

A:

Q: Evaluate the derivative of the following function. f(x) = (5x)4x f'(x) = (Simplify your answer.)

A:

Q: P(w)=2w^2 -w +4 /√w *Differentiate the function

A:

Q: If z = (x + y)e" and x = 7t and y = 1- t², find the following derivative using the chain rule. Enter…

A:

Q: formation is given about AABC. Determine if the Information gives one triangle, two triangles, or no…

A:

Q: What is the derivative of 5/x3?

A:

Q: Write a simpler function that agrees with the given function at all but one point. Then find the…

A: Given, limx→0x4-5x2x2

Q: Find the derivative of the following functions. Whenever possible, express answer in factored form.…

A: Solution

Q: Make an ORIGINAL EXAMPLE OF "Variable Separable" A) GIVEN B) SOLUTION C) ANSWER D) WITH EXPLANATION

A: Given expression, Solve 1+x2dydx=1+y2

Q: Find the area of the region that is enclosed by the card 10+ 10 sin 0. OTE: Enter the exact answer.…

A: Topic:- application of integration

Q: Find the volume of the solid that results when the shaded region is revolved about the indicated…

A:

Q: Do NOT use the difference quotient, find the derivatives via formula. f(x)= 4√x7

A: To be found :  the derivatives via formula. f(x)= 4√x7

Q: 10 B 64 2 2 6 $10 Q

A:

Q: Find the derivative of the following functions. Whenever possible, express answer in factored form.…

A: Given  y=3x5-3x4+7x3-5x2+x-8 We know that d(xn)dx=nxn-1

Q: Fill in the missing coordinates at special angles around the circle. Use the equation of the Unit…

A: This question can be solved using the following formulassin(180-θ)=sinθcos(180-θ)=-cosθ…

Q: Find the dimensions of the rectangular dog park split into two pens (sharing a fence ) of the same…

A: Let's find dimensions.

Q: Əf Əf Find and дх ду 2 f(x,y) = √x² + 3y2

A:

Q: Let R be the region bounded by the following curves. Find the volume of the solid generated when R…

A:

Q: Calculate all four second-order partial derivatives of f(x, y) = 2x²y + 9xy³. fxx (x, y) fxy (x, y)…

A:

Q: Find the linear approximation of the f(x, y) = at the point (1,4). Answer: f(x, y) ≈ X x + y

A:

Q: Finding the Domain and Range of a Function: f(x)=√x² – 3x + 2. O Domain: all x ±4 Domain: all x ±2…

A: Given :fx=x2-3x+2

Q: (5) A student used "U-substitution" 3 integral: S x² √√9- x² dx By using the following steps: Let U…

A: We need to find out the integration by using trigonometric substitution.