Find the derivative of the function f(x) = – 2x1 + 5x – 7. A. -2x + 5 C. -2x? + 5 E. None of these 5x+2 В. 5x2-2 D. x2

Q: Find the area of the shaded region 10x) = 8x - 2x - x, g0x) = 0

A:

Q: 4. A COHunu Iunctio JU), laS a uoma -6 <x<-2 x=-2 -2 <x<0 x=0 0< x<6 f' does not exist f" does not…

A: “Since you have posted a question with multiple sub-parts, we will solve the first three subparts…

Q: initial deposit of $1,000 is placed in a savings account with an APY of 4.3% sume the interest rate…

A:

Q: 2.x4 + x3 x4 xp-

A: Given query is to find the value of the integral.

Q: T between -1 and 1, then find a number c in [-1,1] where Find the average value fave of f(r) f(c) =…

A: This question can be solved using the concept of average value of a function in a given interval.

Q: Find the derivative of the function at Po in the direction of u. X-y g(x,y) = Po(- 1,1), u= 12i + 5j…

A:

Q: uppose that F(x, y, z) = 0 defines z as a function of x and y and F is differentiable. "rove that dy…

A: Given F(x,y,z)=0

Q: Evaluate the integral by making an appropriate change of variables. 3(x + y) cos (x2 - y?) da, where…

A:

Q: 3 For the given equation f(x) = x³ +a2 %3D 6x + 10

A: f(x)=x^3+3/2x^2-6x+10 f'(x)=d(x^3+3/2x^2-6x+10)dx f'(x)=3x^2+3/2(2x)-6(1)+0 f'(x)=3x^2+3x-6 take…

Q: If y = xe'* is a solution of a linear homogeneous 2nd order DE, then another solution might be A. y…

A: For a second order linear homogenous equations, If roots of auxiliary equation are 1. real and…

Q: Time of Death Newton's Law of Cooling is used in homicide investigations to determine the time of…

A:

Q: sinex) sintpx) x

A:

Q: Let fx) = mx + b where m and b are constants. If lim fx) = 1 and lim Ax) = -1, determine m and b.

A: Given: fx=mx+b And limx→2fx=1 and limx→3fx=-1

Q: To rationalize the denominator of 45 what value should the numerator and denominator be multiplied…

A: We can answer the question as below.

Q: Use the function f(a) to fill in the table:

A: Given :

Q: Use Green's theorem to evaluate F• dr. (Check the orientation of the curve before applying the…

A:

Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y.…

A: First we will draw graph for function.

Q: dy Then find the slope of the curve at the given point dx Differentiate implicitly to find…

A:

Q: The exact area of the region enclosed by f(x) = -(x+ 2)(x-2) and g(x) = (r+ 2)(x- 2) is given by…

A:

Q: "he graph of x(t) = t+ cos t, y(t) =t+ sin t, 0 <t< 2n is shown belov 6 Compute the slope of this…

A: Topic :- application of derivatives  Note :- as per our guideline if more than one question uploaded…

Q: Graph the function Ax) = 4x-1, if x <-1 Determine if the function is continuous x-3, if x2-1…

A: The given function is  f(x) = 4x-1x-3if x&lt;-1ifx≥-1 A function is said to be continuous at a point…

Q: Nx+ 10 - 100 Rationalize the numerator of

A: Solution of given question is written in below steps.

Q: The slope of the tangent line is

A:

Q: Determine whether F(x, y) = 2x²y i+ 8xy' j is a conservative vector field. If so, find a potential…

A:

Q: 8 Evaluate for (3x² -7x+4

A: We have to use the concept of derivatives

Q: -2000x has the marginal-demand function D'x)= where Dx) is the number of units sold at x dollars per…

A: First we'll integrate and the we'll put the given value. So i am providing my handwritten notes…

Q: Find the area of the region enclosed between the curves defined by the equations y = vx +2,y= x ,…

A:

Q: The surface S i parametrized by equations x = u + v, y = 3u², z = u – v; The point P (2, 3, 0) lies…

A: Given that the surface S is parameterized by equations x=u+v, y=3u2,z=u-v; the point P(2,3,0) lies…

Q: Determine the gradient of f(r, y) = ez sin(5y) at (r, y) = (3, – 1). Round to 2 decimal places. V…

A: Given query is to find the gradient at indicated point.

Q: [1 1 3 3 1 3 3 0 2 1 1 1 1 2 0 1 2 1 0 1 1 3 6 2 1 4 2 3 2 1 2 4 2 1

A:

Q: Evaluate the integral. dx (х — 9)(х — 18) (Use symbolic notation and fractions where needed. Use C…

A:

Q: Consider the plane curve given by the parametric equations x = t + 22t – 23 y = t2 + 22t – 5 -- What…

A:

Q: Suppose that z = f(a, y) is differentiable at the point (1024, 1024) with, (1024, 1024) = 5…

A:

Q: Q1/ Find the volume of the solid generated by revolving the region bounded by y = Vcos x, y 0 & Osxs…

A: Disk method: The disk method is used to find the volume of a solid when the axis of revolution is…

Q: Use properties of limits and algebraic methods to find the limit, if it exists. (If the limit is…

A: We can solve as follows

Q: 8. If V represents the volume of an object, what does AP represent? - dt

A: dydx-Represent the Rate of change of 'y' with respect to 'x'. Here, 'y' is dependent variable and…

Q: Use the plot provided below to match each statement with the correct match given the choices below.…

A:

Q: Y201003 2. b00 Cos07 30 300 Sing Y=0.002 Ysine dr dodø

A: Given

Q: (i) Using Laplace's equation, find v,and və for inviscid vortex flow.

A: answer is in next step

Q: A B E F This is a graph of f'(x), the derivative of f(x). At which of the marked values is: f(x)…

A: f(x) is increasing function . f(x) must be greatest for the largest x .So,  a) F b)f(x) is least for…

Q: Ise Stokes' Theorem to evaluate F. dr where C is oriented counterclockwise as viewed from above.…

A: Using stokes' Theorem we have to evaluate given integral

Q: Find the antiderivative of f(x) = 2 csc2 a given that f () = 1. 4.

A:

Q: Given s(t)= 21+21, where s(t) is in feet and t is in seconds, find each of the following a) v(1) b)…

A:

Q: Evaluate (2x - y) dx + (x + 3y) dy. C: arc on y = x/2 from (0, 0) to (4, 8)

A: Here we have to evaluate        ∫c (2x-y)dx+(x+3y)dy

Q: The curved portion of the v-t curve shown in the figure are second degree parabolas with horizontal…

A: answer is in next step

Q: encourage new members a bank offers a savings account of 2.4% interest mpounded monthly provided new…

A: We will determine the account value after 10 years.

Q: 4. Find lim (sin¬ V)cschr. r0+

A: The given limit,         limx→0+sin-1xcschx

Q: You remove your pecan pie from the oven and place it on the counter for an hour before serving it.…

A: The temperature T in degrees Fahrenheit of pecan pie is modeled by T=f(t) where t is the time in…

Q: 13. A water tank at a filration plant is buit in the shape of an inverted cone with height 5.2 mand…

A:

Q: ||r(t) × r"(t)|| ||r"(t)||* Use the formula k(t) = to find k(t). r(t) = e"i+etj K(t)

A: We have to find k(t)=?