If the slope of the tangent line to the graph of www y=f(x) at x=a is m (a) = 2a-3, and f(1)=5, then what is f(-2)?

Q: Find the numerical value of the sum below. 6 Σ(i² - i) = i=3 I-

A:

Q: Evaluate the definite integral. 1 e² + 8 o e² + 8z dz

A:

Q: Evaluate the integral. (Use C for the constant of integration.) [7. 7z³e² dz

A: ∫7z3ezdz

Q: Use part one of the fundamental theorem of calculus to find the derivative of the function. g(x) =…

A:

Q: 2. Find the anti-derivative of the function f(x) = e* sin (^te^)

A:

Q: 12-0 dt = + C

A: We know that the integral of x^n dx = x^(n+1)/(n+1)

Q: Use Part I of the Fundamental Theorem to compute the integral exactly. 1₁ (x + 8x)dx=

A:

Q: When an initial amount of money, A, in dollars, is invested into an account that earns interest…

A:

Q: Find the differential of the function. z = x ln(y5 + 2) dz = )dx + ( Jay dy

A: Finding a function's derivative is a step in the mathematical process known as differentiation. The…

Q: 19. an - (₂)

A:

Q: Use the equations to find дz дх дz ду || || дz дх дz дх OF дх ƏF дz and and əz ду дz ду x2 - y2 + z²…

A: Given: ∂z∂x=-∂F∂x∂F∂z and ∂z∂y=-∂F∂y∂F∂zx2-y2+z2-8z=9 We are required to find: ∂z∂x and ∂z∂y

Q: 6. Given u = a. Su - b. ū c. v [2, -5]and V V = [-7,2] find

A: 6) Given u→=2,-5 and v→=-7,2

Q: A curve in polar coordinates is given by: r = 7+2 cos 0. Point P is at 0 = 16 14 a.) Find polar…

A: We have,    r = 7 + 2 cos θ   Point P is at θ = 16π/14

Q: Jhy Find following limits if they exist. Enter DNE if the limit does not exist. g(x) a h(x) g(x) 4.…

A: Note : As per our Guidelines , we can solve first three subparts . Please repost remaining parts.

Q: A tower that is 110 feet tall casts a shadow 167 feet long. Find the angle of elevation of the sun…

A: The given image is:

Q: Find a quadratic equation with the given roots. Write your answer in the Suggestion: Make use of the…

A:

Q: (a) Verify that y=tan(x + c) is a one-parameter family of solutions of the differential equation y'…

A:

Q: For the angle 0, find the following. (a) tan (0) (b) cot(0) (c) sec(0) (d) csc(0) 37 (-12,-35) y 0

A: Figure

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) [ sin (√x) dx

A: Given integral is ∫sinxx dx

Q: (ii) (iii) Find the co-ordinates of the turning points of the following function: y = x³ - 6x² +5…

A: Given the equation, we need to find out the turning points of the curve and also where it has maxima…

Q: When an initial amount of money, A, in dollars, is invested into an account that earns interest…

A: Ft=A·ert     Ft=19000·e0.094·t   A.  For t = 9 Ft=19000·e0.094·t=19000·  e0.094·  9=44275.83

Q: 14x^2-13x-12 using factor by grouping

A: let  K=14x2-13x-12

Q: Find all values of m so that the function y = emx is a solution of the given differential equation.…

A:

Q: Use the Shell Method to find the volume of the solid obtained by rotating region under the graph of…

A:

Q: Find equations of the normal and osculating planes of the curve of intersection of the parabolic…

A: The curve of intersection of the parabolic cylinders x = y2 and z = x2 at the point (1, 1, 1). Find…

Q: Find a Cartesian equation relating and y corresponding to the parametric equations Write your answer…

A: x=3sin6t ,y=6cos6t

Q: a. AOR: y = 0 b. AOR: x=0 c. AOR : x = 2

A: Since you posted multiple subparts, I need to solve only first three subparts.

Q: DEFFERENTIATE EACH OF THE FOLLOWING WITH RESPECT TO X AND FIND del or y'. do Ox-cosx² + y² + 3x5 =…

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

Q: Let f(x)=2x² - 6x² - 48x + 6. a. Find all points on the graph of f(x) at which the tangent line is…

A:

Q: (c) Given equation r²+(2-1)² = 4 in the cylindrical coordinates. (1) Express the equation in…

A:

Q: Write the vector shown on the graph below as a linear combination of standard unit vectors i and j.…

A: Graph

Q: 8) A region is bounded in the second quadrant by the curve y = In(1-x), the line y = 3, and the…

A:

Q: me Value Theorem, which of the following is true?   A) f(x) achieves a maximum f(c) and…

A: f(x)=x2

Q: 3. Use the Intermediate Value Theorem to show that there is some c in the interval (-1,0) at which…

A: f(-1) = (-1)³ - 3(-1) + 1 = -1 + 3 + 1 = 3.  f(0) = (0)³ - 3(0) + 1 = 0 + 0 + 1 = 1.

Q: Use the half-angle formulas to find the exact value of the trigonometric function. Simplify your…

A:

Q: Use the Shell Method to find the volume of the solid obtained by rotating region above the graph of…

A: By using the Shell Method to find the volume of the solid obtained by rotating the region above the…

Q: 2) Suppose the vertical position of an object is y(t) = 32t - 8t², where y(t) is measured in…

A:

Q: A state trooper is hidden 30 feet from a highway. One second after a truck passes, the angle theta…

A:

Q: 18. Determine the volume of the figure bounded by the following planes. z=3 z = -8 Z x - 2y = 6 4x +…

A:

Q: Both answers are wrong and I really need help

A:

Q: 15. Practice similar Help me with this Find the value of the integral Determine whether the series…

A: We have, Limit equation is given .

Q: . z = 12i + 16j

A:

Q: If the velocity of a moving object is t 2 1² v (t) = 20 2 in meters per second, then what is its…

A:

Q: (3) Find the equation of the line tangent to f(x)=√x atx=4

A:

Q: 8) A particle that moves along a linear path has a known velocity of v(t) = 4.3 sin (2.1t), where…

A:

Q: An general equation for the plane passing through the points (0, –1, 2), (−1, −5, 4), and (2, –4, 3)…

A:

Q: Given the function f(x) = −2x³ +96x +1, determine the intervals where the function is increasing and…

A: f(x)= -2x3+96x+1 We have to find interval of increasing or decreasing of function and also interval…

Q: дz дz Use the chain rule to find and მs at z = ln(3x + 4y), x = s sin(t), y = t cos(s) дz as дz at…

A: z=ln3x+4y , x=s sint , y=t coss

Q: Use the Shell Method to compute the volume of the solid obtained by rotating the region in the first…

A:

Q: Solve (11x + 12)eª dx using Integration by Parts. 11x + 12 and v' = eª. Use u =

A: