D. Differentiate the following. f(x) = 4x5 - 5x +x +8 g(x) = * --*+x' + v2 c. h(x) = V9x° + V7x7 + V5x5 - V3 a. b.

Q: The function implieity detimed by the equation x² +yZ =36 Is a solution tor the following differenta...

A:

Q: g(*) = ln (-3x+11) %3D calculate (X), A) 2(-3r +11)-3 B) -3(-3r + 11)-1 C) -54(-3r + 11)-3 D) -9(-3r...

A:

Q: Find the intervals in which the function f(x)= 2x* +8x -5 is concave up/concave down. Also, find the...

A: inflection points of y=2x4+8x3-5

Q: Find the critical numbers of the function. (Enter your answers as a comma-separated list.) h(x) = si...

A:

Q: Consider the coordinate vectors 6. (w]s= (als= (B]s %3D %3D %3D 3 4. (a) 8)}. w = (?, ?, ?) (b) Find...

A: Solution: b) S = {x2+1,x2 - 1, 2x - 1} and coordinate of q w. r. to s is  {2,0,4}

Q: The product of two positive numbers is 363. Minimize the sum of the first and three times the second...

A:

Q: Determine if the given function y = f(x) is a solution of the accompanying differential equation. y'...

A:

Q: 2π (9ピ)1 dt (18も)+(18ピ)

A:

Q: Water at the rate of 10 cm3/ min is pouring into the leaky cistern whose shape is a cone 16 cm. deep...

A:

Q: Is there a difference between substituting values of a variable and the limit of a function? From wh...

A: In this question we have to give differences between limit and value putting.

Q: Find the derivative of the function j(x), below. Assume that c and d are constants. j(x) = In(e" + d...

A: answer of given question is in step 2

Q: 3. If lim f(x) = lim f(x) 5 whenf(3) = -1, what is the value of lim f(x)? ズー3 X-3+ b. -1 For items 4...

A: follow next step

Q: Find the component form of v given its magnitude and the angle it makes with the positive x-axis. ||...

A: Consider a vector v having its magnitude ||v|| and angle θ which makes from the positive x-axis, the...

Q: If lim f(x) = 9 and lim g(x) = -4, which of the following is true? %3D a. limif(x) + g(x)} = -5 b. l...

A: 1) Given that limit of f(x) at x=2 is 9 and limit of g(x) at x=2 is -4, then we have to find correct...

Q: this

A: We have to draw the graph of the following given function

Q: Compute the derivative of the following using product or quotient rules. oldetin nedi 1. g(x) = x(2x...

A:

Q: Given the tabulated function 3 y=f(x) Use least squares to fit the data to a function of the form f(...

A:

Q: Solve the following initial value problem. = - 4cos(2t + x), s'(0) = 300, s(0) = 0 dt? (Type an exac...

A:

Q: Find dy/dx in terms of x and y if arctan(x*y) = y“. dy dr

A:

Q: 2n+1 if n is odd if n is even an

A: Find the limsup and liminf

Q: Compute the second order derivative f"(x) for f(x) = 3x* -/x. %3D 36x2- 4x2 Ob.36x2 + 3/2 3/2 1 OC. ...

A:

Q: 1. Find the general solution of the differential equation: dy, dy + dx3 dºy dy = 0 dx6 dr5 dx?

A:

Q: 3. Find the Laplace transform of the piecewise function 0st<1 1 S(t) = 1st<2 3 -t 2<t< 3 t23

A:

Q: A. Use the tabular method to evaluate the following imits. 1. Lim log2 (2x + 1) x-3/2 2. Lim 42x+ 1 ...

A: Note: As per our company guidelines we are supposed to answer the first three subparts of the questi...

Q: V12(-1)" 3" (2n + 1) 1. Consider the series n=0 (a) Use any test for convergence/divergence to show ...

A: Solve the following

Q: Use Power Sums to evaluate N 3s? – 2s – 2 lim N-00 s=1 N3 (Give your answer as a whole or exact numb...

A:

Q: Consider the following. f(z) = Vr+4 Use a computer algebra system to find the derivative of the func...

A:

Q: At noon, ship A is 10 nautical miles due west of ship B. Ship A is sailing west at 25 knots and ship...

A:

Q: A 75 L gas tank has a leak. After t hours, the remaining volume, V, in litres is 2 V(t) = = 75( 1 ,0...

A:

Q: Select the graph of the quadratic function f(x)=x²+2x+2. Identify the axis of symmetry.

A:

Q: Activity 1. Slope of the Tangent The rate of change at any point on a function is the slope of the t...

A: We want to find rate of change of the function at the given point. 

Q: Find an equation of the tangent line to the graph at the given point. 3(x2 + y2)2 = 100(x? – y2), (-...

A:

Q: Find the difference quotient and simplify your answer. Ax) = x² – x + 1, f(6 + h) – f(6) -, h+0 h f(...

A:

Q: Please provide the name of each property that I have circled. Please provide the exact name.

A: To name the integral properties.∫-aafxdx=∫-a0fxdx+∫0afxdx∫-a0fxdx=∫0af-xdx

Q: Evaluate the integral. (Hint: u-sub) Cos x dx 1 + 4 sin x O! Inl1+4 nin x| + C 4 In |1+4 sin x | + c...

A:

Q: and the direction of the aiven.vetor Find the magnitude u=(3,-4)

A: Consider the vector  v=3,-4  

Q: A. Directions: Identify if the given function is continuous [-3,2) (1,3] - (0,4) [4,5.25) (-3,0) ......

A:

Q: x e* dx (1+х)2

A: Explanation of the answer is as follows

Q: Find an equation of the sphere that passes through the origin and whose center is (1, 2, 3).

A: I have appended the formula used in the solution part.

Q: Consider the following differential equation - (8 – r) dr + 9rds = 0

A:

Q: 2. Find the equation of the tangent line to the curve y = x³+ 2x² – x at the point (-2, 7).

A:

Q: Calculate M6 for f(x) = v6x over [3, 6]. (Use decimal notation. Give your answer to two decimal plac...

A: The function isf(x)=6x over [3,6].The number of sub-intervals is n=6.

Q: Find the points at which the graph of the equation has a vertical or horizontal tangent line. 36x2 +...

A:

Q: Find the critical numbers of the function. f(x) = x5 - 5x4 Step 1 To find the critical numbers of f,...

A:

Q: A circle is growing, its radius increasing by 2 mm per second. Find the rate at which the area is ch...

A: Solve the given for chnage

Q: C. Write TRUE if the statement is correct, otherwise FALSE a. If y 12x, then y' 15x2. b. If f(x) = 1...

A:

Q: An offshore oil well is located in the ocean at point W, which is 5 miles from the closest shorepoin...

A:

Q: Find the inverse of the one-to-one function. ​

A: The given function is y = 6x

Q: If y=sin( x2 + 1), then compute y O A. xsinx² +1) y = Vx2 +1 O B. None of the other choises cos(/x² ...

A:

Q: Describe in words the region of IR^3 represented by the equations or inequalities. y^2 + z^2 = 16

A: