Find the differential dy of the function y = 4x²-x+ 3 Select one: O a. (8x-1)dx O b. (x²-x² + 3x) dx Oc. C. (8x²-x+ 3)dr O d. (4x²-x²+ 3x)dx O e. (4x-1)dx Check

Q: Find critical points and classify each critical point as relative max, relative min, or a saddle…

A:

Q: Solve sin(x) + 6 cos(x) positive solutions X = = 2 for the first 2 Give your answers accurate to at…

A:

Q: dx + 3y ¹x dy = y-³ e dy

A: Here we have to use the concept of differential equations

Q: Find an equation of the parabola that is symmetric about the y-axis, has its vertex at the origin,…

A: Given data:- The parabola is symmetric about the y-axis and has its vertex at the origin and passes…

Q: How large should n be to guarantee that the Simpson's Rule approximation to ²₁ nz 15ex² dx is…

A:

Q: Use an addition or subtraction formula to find the exact value of cos 15° A = B = √A(√B+1) V 4

A: We use cosx-y=cosxcosy+sinxsiny

Q: Find the area inside one leaf of the rose: The area is r = 2 sin(50)

A: We can find the area.

Q: IV. Given the functions f(x) = 2x + 5, g(x) = − x² - 6x + 7, and h(x): = the following. Show…

A:

Q: 12. What's the solution set to the following system? x² + y² = 9 9x² +25y² = 225

A: To solve the given system

Q: Je for the inverse Laplace transform of the function in f(t) form - 2- 2e S -25

A: Topic:- application of integration and calculus

Q: Find the highest point on the cardioid r = 1 + cosθ.

A: Given data:- The given expression is, r=1+cosθ

Q: Explain how the product rule for derivatives and the technique of integration by parts are related.

A: Concept Used: Relation between product rule for derivatives and the technique of integration by…

Q: 7.21

A:

Q: X Find the derivative of the function f(x, y, z) = ^ + ² + y y z NX at point (7, -7, 7) in the…

A:

Q: Maximum Area A Norman window is constructed by adjoining a semicircle to the top of an ordinary…

A:

Q: For the graph below, give a restricted domain that includes x = 0 and the entire range of the…

A: Range of function is nothing but value between maximum and minimum value on Y axis,

Q: Write the product as a sum: 10 sin(8s) cos(5s)

A: The given expression is 10sin8scos5s Use the result,2 sin A cos B = sin(A+B)+sin(A-B) Rewrite the…

Q: Your local electronics store is having an end-of-the-year sale. The price on a plasma television had…

A: Given modeled for sale price is x-0.3x-0.3(x-0.3x) Where 'x' is original price.

Q: problem

A:

Q: State the Product Rule.

A:

Q: Simplify d/dz(yz dy/dz)

A:

Q: Special-product formulas have patterns that make their multiplications quicker than using the FOIL…

A: Special-product formulas uses pattern to expand the product more efficiently than using the FOIL…

Q: 4 If f(x) = (3x − 4)³ · (8x² + 6)*, find f'(x) using logarithmic differentiation.

A:

Q: In our practical life, related rates are used in many areas including the medical field to measure…

A: The Solution is given below-

Q: Find the local maximum and minimum values and saddle point(s) of the function. You are encouraged to…

A: neither maximum nor minimum attains.

Q: Using the binomial theorem formula expand the following: b) (2 - 3x)²

A:

Q: Dating Rocks Geologists sometimes measure the age of rocks by using "atomic clocks." By measuring…

A: Given function: t=1.26×109ln1+8.33AKln 2

Q: [x² (9-³) dx 1)-9-² In (9) O 2) +C -9-- 3 In (9) +C 3) 9-³+1 +C 4) -9-³ 9 In(3) +C

A:

Q: Find the solution of the constant coefficient differential equation y" - 10y' +29y = 0 satisfying…

A: The given differential equation is: y''-y'+29y=0 The given initial condition is y0=-3 and y'0=-5 To…

Q: IV. Given the functions f(x) = 2x + 5, g(x) = -x² - 6x +7, and h(x) = the following. Show complete…

A: As per our answering guidelines we are allowed to solve only first three sub parts kindly repost…

Q: 3s + 8 .8s + 20 A f B) f f Ⓒ =e-4 = eft = e-2t (3 cos 2t - 2 sin 2t) (3 cos 2t - 2 sin 2t) (3 cos 4t…

A: Topic:- calculus    Note:- as per our guideline if more than one question uploaded than only first…

Q: We know f(1)=2 and f′(1)=4. Find d/dx f(x)/x^2 x=1.

A:

Q: dy Solve the following differential equations. y' = d. dx 3. xy' = yln².

A:

Q: Find the distance between the points (3,-2) and (6,4).

A:

Q: A taxi company in Indiana charges a flat rate of $5.00 for the first 2 miles, then a rate of $0.80…

A:

Q: 7. lim (x,y,z)-(-1,01) x³+x²y+x²z_xy²-y³-y²z x+y+z

A:

Q: 36. Graph the function ƒ(x) = sin^3 x.

A: The given function is fx=y=sin3x

Q: What’s 30x30?

A: Given 30×30

Q: If a + 0, the degree of ax"y" is

A: Degree of a term is the highest power of variable if term has only one variable and degree of term…

Q: Let C be the curve 27x −y³ = 0 between y= 0and y = 2. In each part, set up, but do not evaluate, an…

A: The given curve is 27x-y3=0.it can be rewritten as: 27x=y3y3=27xx=y327

Q: Find the inverse transform of the given function of s. F(3) 6s - 49 s2-8 - 8s +41 A) f B) f f Ⓒ =…

A:

Q: 5 2) Suppose we know 5ƒ(x) dx = 13, ƒ ƒ (x) dx = 30 and f g(x) dx = -2. Evaluate: a. Sof(x)dx b. 10ƒ…

A:

Q: d/dx(6^xln(x+10)) Find the point where the graph of y=x6^x has a horizontal tangent line. x= and y=

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

Q: Find the area of the region that is inside of the cardioid r = 4 + 4cosθ and outside of the circle r…

A: Given: Area of the region that is inside of the cardioid r=4+4cosθ and outside of the circle r=6.

Q: Simplify. -2 fq f-q q The simplified expression is

A:

Q: termine whether the given Series converges, and if so, find its sum. k=1 8 k=1 -3 4 k-1 1 (k +…

A: Topic:- sequence and series

Q: d. y = sin x X

A:

Q: 21. f(x) 22. f(x) = 23. f(x) = mort 24. f(x) = 25. f(x) 2x mun = x² - X x² - 1 1 .notisnut COS X 0…

A:

Q: 4t -4t Given that y(t) = C₁e¹t + c₂e² is the general solution of the differential equation y" - 16y…

A:

Q: 36. The 28th term in the expansion of (A - B)30

A: Formula: nth term in (x+y)n expansion is Tr = nCr-1 xn-(r-1).yr-1