Apply the definition to differentiate the following functions: 1- y = ₁

Q: 5. Given the matrices below, find B. A 2 1 2000000 A = 3 4 0000000 B = [5 -3 0]

A:

Q: the amplitude is the only incorrect answer

A: Solution :- By compare standard cosine function y= Acos(Bx-C)+D

Q: 9. Name the polar coordinates of the point graphed below. 플 S ㅍ 3π 10 -0

A: one radial line show one unit radius here point is at 4 number so point is (4,π/3)

Q: The scientific notation of the number 0.0023 is 2.3x10-3 صواب خطأ

A: The given number is 0.0023We need to write the scientific notation of the number 0.0023

Q: A company produces a special new type of TV. The company has fixed costs of $454,000, and it costs…

A:

Q: 7.Find of z = 2x³-5xy² 8²z xy

A: topic- partial differentiation

Q: Set up triple integrals for the volume of the sphere p=11 in a. spherical, b. cylindrical, and c.…

A:

Q: π Determine the slope of the tangent line, then find the equation of the tangent line at t = 4 x = 9…

A: Topic = Derivative

Q: Complete the identity. sin (a+B) = ? cos a cos B cot a + cot B -tan a + cot B tan a + tan B tan B +…

A:

Q: ***********Please print your data chart and graph on Excel and attach to this sheet************ You…

A:

Q: y = 3sin (40 +

A: Given query is to find the phase shift.

Q: Numerical Integration: 1 √x 1. 0 dx

A: We can find the solution of the definite integral as below.

Q: a Identify the type of sequence presented in the table. b. Write an explicit Formula for the…

A:

Q: Evaluate the integral. *5 1³ v +² + 25 dx

A:

Q: Evaluate the cylindrical coordinate integral. √2-12 $$"S 9 dz r dr de 0 0 r *** 74 SS S 9 dz r dr…

A: To find the value of given triple integral.

Q: 3. 13 dr² +9y= 26e2r

A: The given differential equation,     d2ydx2+9y=26e2x

Q: Calculus optimisation problem Amount of fuel 'F' (in litres) required per hour to propell his…

A: Given, F(u) is the fuel in liters required per hour. u is the speed in kn/hr u(max)= 40 km/hr F(u)=…

Q: Use your calculator to determine how many solutions each system has. Then without a calculator,…

A: Note: As per our company's guidelines we are supposed to answer the first question only. Kindly ask…

Q: 3.sin (2 4. (4 sin 3x - x) dx

A:

Q: Use the following function and its graph to answer (a) through (d) below. Let f(x)= 6-x, x3. a. Find…

A: We have to find out limit

Q: Using Integration by Parts. [x¹e xn ex dx is equal to xnex +nfx-1e* dx xnex - nf x¹ ex dx the above…

A: The integration by parts formula is,    ∫u v' =uv - ∫v u'

Q: Using polar coordinates, evaluate the integral sin(x² + y²)dA where R is the region 1 ≤ x² + y² ≤…

A:

Q: In Problems 1 to 4, find the general solutions of the given differential equations. 1. d²y dy dx² -…

A:

Q: Q.1/a) Solve the following integration by parts integral method fre x³ ex²+1dx 2+1dx

A:

Q: Find the maximum value of f(x,y) = 14-x² - y² on the line x+2y=5.

A: Given Function f f(x,y)=14-x2-y2 on line x+2y=5We need to find the maximum value For the line…

Q: lim x-0 1+x−1

A: Given problem:-

Q: Find the interval of convergence for The interval of convergence is a E n=1 (x − 2)" - n² 2n

A:

Q: A spherical snowball is melting in such a way that its radius is decreasing at a rate of 0.2 cm/min.…

A:

Q: 3- dy + 3x^²y = x³6 s dx Y- XLnx dy dy +y = ₂l₁x dx 2Lnx ets

A:

Q: Determine all the critical numbers of f(x) = sinxcosx.

A: Determine all the critical numbers of   f(x) = sin(x)cos(x)

Q: I. EVALUATE THE FOLLOWING LIMITS. SIMPLIFY AND ENCLOSE FINAL RESULTS. 5. Lim xsinx x→0+

A: On solving this we will get

Q: LAW OF GROWTH AND DECAY A radioactive material decays at a rate proportional to the amount present.…

A:

Q: In your own language, describe the pattern of the following sequences (The sequences are given as a…

A: We draw required connection between the pattern and formulas as below.

Q: 2. Evaluate: √²³ √ 2 - x + x dr

A:

Q: Find the volume generated by revolving about y = 2, the area bounded by y² = x-1 and y = -x +3.…

A:

Q: A company produces a special new type of TV. The company has fixed costs of $461,000, and it costs…

A:

Q: Evaluate the integral directly by integration with respect to x and y. 7 x=(y/5)+1 5x-y S S dxdy…

A:

Q: Let f(x)=sinx.When x=and dx=,then dy=? a) √2 b) cosxdx π+2 c) sin (+²) - sin() d) √2 √2 con()+sin()…

A:

Q: The solution set of 1-2x +21=4 {-1,5) AO {-1,2} BO {-1,6} .CO {-1,3} .D O

A: We have to find solution

Q: 7. f(x) == 8. f(x) = |x| |x|+1

A:

Q: lim₂+-1 f(x) = C 2

A: limit exist when

Q: Use the given information to determine the remaining five trigonometric values. Rationalize any…

A: Given, cosec(A)=87, 90°<A<180°

Q: Two numbers whose product is 1 are called opposites. صواب خطأ

A: Opposite of a number is just negative of that.If x is number then -x is its opposite number not 1x.…

Q: 3. Find the interval on which the curve of y= 2 1+3t+t² dt is concave up.

A: Second derivative is positive.

Q: y = 3Arcsin (2x³) -- Arccos(2x³)

A:

Q: 2) Determine the sine function that models the given information: (8K) Amplitude Period Phase Shift…

A:

Q: Compute. 13 2) Σ k

A: Given, ∑k=113k2

Q: Solve the following problems. Enclose final answer. 4 4. Given z = x-y, Find az/ax x+y

A:

Q: The Intermediate Value Theorem can be used to prove that the equation z² - 5x+6=0 has at least one…

A: Given :x2-5x+6=0

Q: Estimate the slope of the tangent line to the curve at the given point (-0.5,4.998) on the graph to…

A: Given that,