-7 -6 -5 -4 4 3 2 1 -1 -2 -3 -4 1 2 3 4 5 6

Q: (D7 + 2D6 + 7D5 + 14D4 + 8D³ + 16D² - 16D - 32) y = 0

A:

Q: Find an equation of the tangent to the curve at the point corresponding to the given value of the…

A: we will find the required.

Q: Find the derivative of: 7 sin² ( – 2xº).

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: Solve the following initial valuc problem using the method of Laplace transforms y" - 4y + 5y = 8c³;…

A:

Q: Solve the equation dy 2y² – x² 3ry

A: GIVEN equation in this question dydx=(2y2-x2)(3xy)   SOLUTION- as we can see dydxis a homogeneous…

Q: Suppose a linear function has a vertical intercept at y = -9 and a horizontal intercept at x = 15.…

A: Linear equation

Q: Find the exact area of the surface x = 6t - 2t³, y = 6t², obtained by rotating the given curve about…

A:

Q: Using Laplace transform to solve the IVP: y" - 7y=e5t, y(0) = 0, y'(0) = 0, then, we have Select…

A: We know, L{y"}=s²L{y}-sy(0)-y'(0) L{y'}=sL{y}-y(0) L{eat}=1/(s-a)

Q: (th) h B) none existent 2) lem Cos ho A) | TheR c) 0 D)(-1) E) None

A:

Q: Evaluate the integral 0 L 6x (x²+1)³/2 dx.

A:

Q: COS 13п 15 COS Зл 15 + sin 13л 15 sin 3п 15 Answer: cos 10п 15 = cos 2П 3 = -1/2

A: NOTE: Refresh your page if you can't see any equations. . the given expression is

Q: Determine the average value of f(x) over the interval from x = a to x=b, where f(x) = - 1 X The…

A: formula for average value is  favga=1b-a∫abf(x)dx∫1xdx=lnx

Q: ind the equation of the plane that contains (1, -2, 1), (1, 0, 2) and (0, -2, 2)

A:

Q: Express the following limit as a definite integral. n 1 lim Σ -Ax where P is a partition of [2,4]…

A:

Q: 18 Suppose c is directly proportional to the square of d. If c when d = 3, find the constant of…

A: given that , c is directly proportional to the square of d ⇒ c α d2⇒c = k d2 ................(1)…

Q: Use the Trapezoidal Rule, the Midpoint Rule, and Simpson's Rule to approximate the given integ n.…

A: Here we have to calculate the I=∫043+x dx, n=8

Q: If h(2) = 5 and h'(2) = -2, find d (h(x) dx X x = 2

A: given  h(2)=5  and  h'(2)=-2find   d dx(h(x)x)  at x=2we know   d dx(ab)=bdadx-adbdxb2

Q: Q lan for the conic based Yon: Ellipse with major verti #) and a focus point at (9,4_ = sketch and…

A: SOLUTION: Given  that  an ellipse has major vertices at (-5,4),(11,4) And focus at (9,4) Now we have…

Q: 12) y = 2-X; dy 3x+1 A) -7 (3x+1) dy = ? ² B) 6X-5 (3XH) 2 c) (3x+1) D) = ¹ 3+2X

A: NOTE: Refresh your page if you can't see any equations. . take derivagive

Q: Differentiate: y dy dx 11 In(x) 26

A: Let's find derivative of given both  problem.

Q: Write a polynomial with degree 4 that has a zero at x = -1- i√2, and a zero at x = -6 with a…

A:

Q: Let f(x) = 5x and g(x) = ex + 7. Determine the x-coordinate where the graphs of the two functions…

A:

Q: 17. f(t) is the graph shown below and g(x) = f f(t)dt. Find g(0), g(1) and g(4). D 2 3

A: Let's find value of g(0),g(1) and g(4).

Q: es for the point (4, IN

A: given (r,θ)=(4,2π3)formula for other coordinates is  (r,θ+2nπ) or  (-r,θ+(2n+1)π)

Q: ppose h(x) = f(g(x)). Given the table of values below, determine h' (2). x f(x) g(x) ƒ'(x) g'(x)| 2…

A: Given query is to find indicated derivative.

Q: (9)- ८ X+3 tran(x) d. y = √x ln (x)

A:

Q: 3. Find the maximum value of f(x, y, z) = x + y − z subject to the constraint x² + y² + x² = 6.

A: Solve the following

Q: y = ln x, xy = 4, x = 1, x = 3

A: NOTE: Refresh your page if you can't see any equations. . here we have and the given interval is…

Q: 7s +5 s² + 25 Is true or false? Select one: O True O False Give your reasons } = 7 cos (5t) + sin…

A:

Q: At time t, the position of a body moving along the s-axis is s = t³ - 9t² +24t m. a. Find the body's…

A:

Q: Determine the x-coordinate(s) of any relative extrema and inflection points of the function y=x³ In…

A: Solution: y=x3lnx4 This can be written as y=x3(ln(x)-ln(4)) Then: for having any relative extrema…

Q: 18. A company makes $1000 on the first 100 widgets sold. The rate of change for profit is given by…

A:

Q: Find the length of the curve x = t³, 312 y = ²2² ²²₁ 0 ≤ t ≤ √3 t²,

A:

Q: The surface of a machine part is the region between the graphs of y₁=1x and y₂ = 0.100x² +2.500 as…

A: Given that , y1=x , y2=0.100x2+2.500 Find the area of the surface of machine port.

Q: Find the general solution of the D.E. (4D³ − 3D+1)y=0. Ⓒy=c₁e²x+c₁₂e-²x Ⓒy=c₁₂e-*+c₂e² Ⓒy=c₁e²+c₁₂e…

A:

Q: Find a Cartesian equation for the curve and identify it. cos(20) = 1 O limaçon Ohyperbola O circle O…

A:

Q: What are the magnitude and direction of w = (-10, -12)? Round your answer to the thousandths place.…

A:

Q: Consider the following function: f (x) = x4− 18x2 + 6 Enter the x-values of any local minima,…

A:

Q: Find the limit of f(x) = lim f(x)= -7+- X as x approaches co and as x approaches -8. lim f(x) = X→∞0…

A:

Q: Graph the circle given below by moving the key points: To graph the circle, drag the center point to…

A: Solve the following

Q: The volume of a sphere is increasing at a constant rate of 1827 cubic centimeters per second. At the…

A: To find the rate of change of surface area of sphere.

Q: U. Solve the given equation 1) sec x(2 sin x-√2)=0 T Answer: x==+2nk, 4 TT ak 3π x== +2 4

A: Given query is to find the solution of the expression.

Q: Find the volume of the solid whose base is the region in the first quadrant bounded by y = x7, y =…

A:

Q: Evaluate the integral by making the given substitution. sec(52)tan (5x)dz, u = 5x + C

A: we know that   dxndx=nxn-1d(secx)dx=secxtanx

Q: Vectors are shown in the graph. n Or O q Ou 7 n 60 5 3 2 1 T -2 P XX u S ? 1 2 3 Which of the…

A:

Q: Let f(x) = x² + 7. Find and simplify: f(x + 6) - f(x) O 12x + 50 O 12x + 36 O 12x O 50 0 36 O 6x +…

A: We can simplify and find the correct answer in the below steps.

Q: y = x^ex

A:

Q: Simplify the trigonometric expression.   1 + tan(A) sec(A)  Step 1 Write tan(A) in terms of sine and…

A: Given query is to simplify the expression.

Q: EC: Find the derivative of g(x) (x) = = 0 cos(t²) dt cos(1¹) di

A:

Q: Find the equation of the line through the point (-5, 4) and perpendicular to the line y = 2-5.…

A: In this question, we want to find a equation of the line perpendicular to the given line passing…