7= - + Cle2x general solution to the DE y"=2y+x Find C1 with the given condition y (1) =1/4

Q: az and ax az 6x3 3. Calculate the partial derivatives for the function z = - x3+3y3 み= (3x)-ズ+(18)15...

A: We know that; The Quotient rule: fg'=f'·g-f·g'g2   3). Given: z=6x3x3+3y3

Q: The amplitude of F (x) = } sin is

A: The amplitude of the sine function is the distance from the midline to the maximum point.

Q: (x+6)dx 4. S (æ+2)?

A:

Q: The functions f and g defined by F(x) =-2÷[|3x-9|] G(x)=x^2 + 9 -[ square root( x+4)÷8]-4 Respective...

A: Given:   To determine: The domains of both functions

Q: The graph of a function f is given. Use the graph to answer the question. Find the numbers, if any, ...

A: The local minima is a point in at which the function has a minimum value in its neighbourhood.  

Q: Find the distance from the point to the plane.   (4,1,8)​, 7y+5z=0

A:

Q: (x+ væ)°dx

A: Follow the procedure given below.

Q: Integrate the rational function by partial fraction (decomposition): 2-9-dx r3-9x

A: Let I=∫x2-9x-9x3-9xdxApply the Sum Rule:  ∫fx±gxdx=∫fxdx±∫gxdxI=∫x2x3-9xdx-∫9xx3-9xdx-∫9x3-9xdxI=∫x2...

Q: 1000 A B

A:

Q: d) The function +(xy)-r*r2y) exp G 18xy is homogencous in of degree X and

A: The given function is: f(x,y)=(x2+2y)e2xy+8xy...(1) The function f(x,y) is said to be homogeneous fu...

Q: dy Find , if dx y = 3u – 2 and u = 2x² - 4. dy Preview dx

A: Topic = Derivative

Q: Suppose f and g are continuous functions such that g(7) = 4 and lim 3f(x) + f(x)g(x) = 21. Find f(7)...

A:

Q: Q.1 Find all values of x, at which f is continuous and discontinuous. x²-9 f(x) = x-3

A: As per our company guidelines, we are supposed to answer only the first question. Kindley reposts ot...

Q: 1 (i) lim 3n2 – 4000 のlim(- 2n2 +10000 X00

A: Topic:- calculus

Q: E O y, = [Ax? + Bx] e2*

A:

Q: Chq/ Evaluate & F.dr by Stoke's theorem, Where fay+x§-cx+z)£ qnd C is the bounday of tri angle with ...

A: Stoke's Theorem : ∮F→.dr→ = ∫∫ F→.n^ dS

Q: Use the partial-fraction method to solve (dy/dt)=2y(1-y/3) where y(1)=5

A: Use the partial-fraction method to solve (dy/dt)=2y(1-y/3) where y(1)=5

Q: Let f(x)= -6x^4+8x^3+72x^2 a) The critical number of f are x= b) The values of x for which f has a...

A: Note:- As per our company guidelines we are supposed to answer only first three sub-parts. Kindly re...

Q: Use the Law of Cosines to determine the indicated angle ?. (Assume a = 126.5, b = 60.7, and c = 155....

A: Given: a=126.5b=60.7c=155.5

Q: -1 -x d. Let A = 2 2 1 2 i. |A| =

A: Given that: A=-x-1-xx2x212

Q: Evaluate the integral: 21/x² 100 dx x4 (A) Which trig substitution is correct for this integral? 10 ...

A: The given integral is: I=∫21x2-100x4 dx

Q: T26 = – 454 and T43 = – 760 are terms of an Arithmetic Sequence. Determine... 1) ...the first term (...

A: T26=-456T43=-760  T26=a+25d         -454=a+25d  T43=a+42d     -760=a+42d solve the above two equatio...

Q: Use the Integral Test to determine whether the infinite series is convergent. -n2 16пе n=6 Fill in t...

A: This is a question related to series and sequence calculation. For using integral test for given ser...

Q: Find the DE of each of the following by eliminating the arbitrary constants. y =Ce* +C2cos.x +C3sin ...

A: Herw we have to find the differential equation.

Q: 2. (бху? — хе"у + 2у)dy %3D у(еУ — 2у?)dx

A: The differential equation Mdx+Ndy=0 is said to be exact, if ∂M∂y=∂N∂x. The solution is of the differ...

Q: Consider the following points. (3.5, -4), (2, 0, -5), (0, 6, -2). (-1, 1, -3) Set up and evaluate a ...

A: Given: (3, 5, -4)    ,    (2, 0, -5)  ,   (0, 6, -2)    ,   (-1,1,-3)

Q: y''=-4cos(2x)+2sin(2x), Eliminate Arbitrary Constant

A:

Q: Choose the correct graph of F(x) = 2 sin x; - < x< 2 T: Av 2 1 -1 -2

A:

Q: dy Find if dx y = 7u + 2 and u = 9x-3. dy dx Enter your ar

A: Given:    f(x) = 7u + 2       u = 9x - 3

Q: Marginal Revenue for Producing Loudspeakers The management of Acrosonic plans to market the ElectroS...

A:

Q: Write each of the given numbers in the form a + bi : (a) e- i, e(1+i27) (b) el-1+) i, (c) ee i.

A:

Q: Find the partial fraction decomposition of the function. Write answer in simplest form. 10 b) f(x)= ...

A: Given that: f(x)=10(x-1)(x2+9)

Q: 6. PARTIAL DERIVATIVE OF MULTIVARIATE FUNCTIONS Find and for the following function. z* sin (y") + x...

A:

Q: find the y-intercept of the line that passes through (1,2,-3) and is parallel to the wing 1/3(x-4)= ...

A:

Q: (a) Find the differential dy. y = V 24 + x2 dy = V 24 +x?

A:

Q: 6+ -6 -5 -4 -3 -2 The graph above is a transformation of the function f(x) = |x]. Write an formula f...

A:

Q: Use the function f(r) given below to answer the questions that follow. f(r) = – 2(r+1)(r – 3) (r – 1...

A: The given function f(r)=-2r+1r-33(r-1)

Q: II. Solve for the derivatives implicitly. 5. 42'y" - 2x = a" + 4y". 6. = 1

A: Given that: 5. 4x2y7-2x=x5+4y36. xy3=1

Q: A parallel, orthogonal, or neither? 3. Find the equation of the line through the point (0, 1, 4) and...

A:

Q: Use the Integral Test to determine whether the infinite series is convergent. n=1 Fill in the corres...

A:

Q: Find the limit. (If the limit is infinite, enter 'o' or '-co', as appropriate. If the limit does not...

A: Given that: limx→∞(e-x+4cos6x)

Q: When can I use U-substitution, Integration by Parts, Trigonometic Substitution and Integration by Pa...

A: Here we have to use the basic concept of using the above methods of integration.

Q: 40 . Find the sum 2 (2k + 3) , arithmetic sequenc, use S k=1

A:

Q: d.x Evaluate V3 – x dx Evaluate 3

A: Given that: ∫23dx3-x∫09dxx-13

Q: Evaluate the expressions. a) 14° b) - 14° a) 140-

A: a) 140=1

Q: Given the differential equation and its initial conditions y" + 8y' + 15y = 7x? - 10 with y(0) = 4 a...

A:

Q: 1 -x' dx (6х +5)*

A: Note: -Since you have asked multiple question, we will solve the first question for you. If you want...

Q: cotxdx + ysin?xdy = 0 %3D

A: Using variable separable method.

Q: (I-) = 2- VT-I (b) i) Compute lim- ii) Hence prove the limit in i) above by -ố definition. 2

A:

Q: Determine the behavior of the functions defined below. Note that it is common to write g(x) → 0" to ...

A: