The function f is shown below. What is the value of answer in simplest form. -10-9-8 -7 -6 -5 -4 -3 N4 -1 8 7 vo 5 4 3 N -1 T N M -3 y + -5 -8 1 2 3 4 5 6 in Graph of f 7 co [f(x) da? Write your -9 9 10

Q: 2. Use the process of implicit differentiation to find given that sin(4x) + sin(2y) =

A:

Q: •y+1 Q5. Evaluate S₂ S¹¹ xy dx dy. -2 Jy²

A: Topic = Integration

Q: 1.5: The area of the region enclosed by the graph of f(x)=√x and the x- axis on the interval [0, 4]…

A: To find area

Q: Convert from polar to rectangular coordinates (0, 7/7) (Round your answer to 2 decimal places where…

A: Part iGiven,            0,π2

Q: Use cylindrical coordinates to integrate f(x, y, z) = z over the intersection (i.e. all the volume…

A:

Q: lim x3 3 3 1 – x

A: Concept: Limit: The value that a function tends to approach as the input value, also known as the…

Q: 3. Evaluate the total differential of the below equation at (x, y) = (16, 24), where dx = 1.5 and dy…

A:

Q: centimeters per second. The pyramid, at the top, has the shape of a square with sides of length 8…

A: The volume of a pyramid isBh3 , where B is the area of the base and h is the height of full pyramid.…

Q: The figure below shows contours of f(x, y) and the constraint g(x, y) = c. Approximately what values…

A:

Q: The regions A, B, C, and D in the figure below are bounded by the graph of the function f and the…

A:

Q: Find the area under the curve y 2 I over the interval [1, 4]

A: Find the area under the curve y=2x over the interval [1, 4]

Q: 8. Find the stationary points of the following functions and classify them as relative maxima,…

A:

Q: Find the area of the following region. The region inside the inner loop of the limaçon r = 2+4 cos 0…

A:

Q: d. y = ار نے

A:

Q: For each of the following, use the table of integrals found in the textbook to find the an…

A: Answer is in next step. please give a like !!

Q: S (2x² + 1) dx x3 - 3x +2

A: ∫2x2+1x3-3x+2dx This can be written as  ∫2(x2-1)x3-3x+2+3x3-3x+2dx=2∫(x2-1)x3-3x+2dx+3∫1x3-3x+2dx

Q: . A rectangle has a perimeter of 6x + 9x² - 10x +5 and a length of x. Find the width of the…

A: Given: Perimeter of the rectangle is 6x3+9x2-10x+5 and length is x.we need to find the width when…

Q: Q9. Find the value of the right side of Gauss divergence theorem for F = x²ī+ zī+ yz k over the cube…

A:

Q: Use geometric formulas to find the unsigned area between the graph of y=f(x) and the x-axis over the…

A: Given curve is  a straight line  f(x) = x+5 at x= -2 , f(x) = 3 at x= 6, f(x) = 11 At the given…

Q: Constructing Series Practice The power series for f(x)= ----XX 1-x 3-F--- x7 71 and the power series…

A: Disclaimer: since you have asked multiple question , we will solve only first for you. if you wants…

Q: 1. Let f(x, y) = y²exy. (a) Find the normal vector to the graph of f(x, y) at (0, 1, 1).

A: Please see the below picture for detailed solution.

Q: I have a question about the problem solved…

A: The explanation of your query can be solved using the concept of function.

Q: a polynomial a 17 minimal poly ent. dent.

A:

Q: An inverted pyramid is being filled with water at a constant rate of 50 cubic centimeters per…

A:

Q: Differentiate the following function. You do not need to simplify the derivative. 3x²e10r g'(x) =…

A:

Q: Find the exact average value fave of f(x) = √25 - x² between 0 and 5, then find an exact number c in…

A:

Q: 2. xem di

A: The given integration, ∫xe3xdx use integration by parts, ∫u dv=uv-∫v du use the formulas,…

Q: (a) Find the rank of the following matrix for all values of a 1 a -1 2 2 -1 a 5 1 10 -61 Show your…

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Q5. Evaluate ſ^₂ ¹¹ xy dx dy. ry+1 y²

A:

Q: Factor x^2 + 10x + 12. (x + 5) (x + 7) (x + 10) (x - 12) None of the answers are correct; this…

A: Given: Factor x2+10x+12

Q: Complete each statement below. The zero vector of Pg The set IS in the set because zero IS a…

A: Concept: A function that can be expressed as a polynomial is referred to as a polynomial function. A…

Q: The slope at any point on a curve is given by 6x-2. Determine the equation of the curve it passes…

A: Slope of the curve is given by dy/dx

Q: Let y = 5√√/T. Find the change in y, Ay when x P 3 and Ax 0.2 = Find the differential dy when x = 3…

A: Given the function y=5x

Q: where does xk come from

A:

Q: Given that the graph of f(x) passes through the point (2, 6) and that the slope of its tangent line…

A: We will find the required.

Q: Evaluate f(x, y, z) dV for the specified function f and B: JB f(x, y, z) dV = f(x, y, z) = Z x 2 ≤ x…

A:

Q: Evaluate the integral: Fa ○ x = 6 sin(0) ○ x = 36 tan(0) 28 x²√x² + 36 dx (A) Which trig…

A:

Q: B A 876, 5432 -10-9-8-7-6 -54 -3 -2 -1 1234 -1 Graph of f D 1 2 3 4 5 6 7 8 9 10 C x.

A: We will find the required.

Q: ✓cos x lim x 0 1 cos x - -

A: The given limit is limx→01-cosx1-cosx

Q: sin(x - a) lim x→a 2(x²-a²)

A:

Q: Evaluate the following indefinite integral. Show all intermediate steps. fx√x+1 dx

A:

Q: Find 13 sin(82)da [13 sin(8x)dz = +C

A:

Q: Perform an operation on the given system that eliminates the indicated variable. Write the new…

A:

Q: Prove, using the definitions of tanh and sech in terms of the exponential function, that 1 − tanh2…

A: Substitute the exponential function of tanhx in the equation

Q: Solve the equation (x+3x³ siny) dx + (x4 cosy) dy = 0

A: Here we have given a differential equation :(x+3x2siny)dx+(x4cosy)dy=0      ......eq(1)

Q: dx 3 sin x-6 cos x

A:

Q: Find the Taylor Series generated by f(x) = (7 · X) ² at X=6 : f'(x) =__9 (7-X) 10 90 ƒ"(x)= (7-x)"…

A: The given function is fx=17-x9 centered at x=6

Q: Q1. Find the equation of sphere with center (1, 2,-1) passing through the point (-1, 2, 1).

A: Since you have posted multiple question in this question which are not interlinked so i have solved…

Q: Find the sum of the first four terms of the series. S4= (-1)^(1+3)*1+(-1)^(2+3)*(1)/ (Remember that…

A:

Q: Answer: Use a triple integral to find the volume of the solid enclosed by the paraboloids y = x² +…

A: Let's find volume by using triple integral.